Answers
Answer: 3x²-2x+5=0
You subtract the 2x and add 9 from both sides to get 3x²-2x+9=0
Answer:
3x^2−2x+5=0
Step-by-step explanation:
3x^2-4=2x-9
first you gotta add 9 to both sides
3x^2+5=2x
then you gotta subtract 2x from both sides
3x^2-2x+5=0
-SpoOky
Related Questions
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Answers
Box plot, as the median can be easily ascertained from the substantial amount of data. The answer is option (a).
What is a median?The middle value in a given set of figures or statistics is referred to as the median. The average value for a given collection of integers can be calculated using one of three main methods in mathematics. The mean, the median, and the mode are the three. Central tendency measurements refer to these three factors. The average value of the supplied data is calculated using mean. The midpoint value of the given data is defined by a median. The input data's repeating value is defined by the mode.
A box plot is a very visual way to show a brief summary of one or more sets of data. It is particularly useful for quickly comparing and summing multiple sets of findings from distinct trials. A box plot provides a visual picture of the distribution of results as well as clues regarding data symmetry at a look.
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According to the U. S. Bureau of the Census, in 2000 there were 35. 3 million residents of Hispanic origin living in the United States. By 2010, the number had increased to 50. 5 million. The exponential growth function A = 35. 3ekt describes the U. S. Hispanic population, A, in millions, t years after 2000. A. Find k, correct to three decimals places. B. Use the resulting model to project the Hispanic resident in population in 2015. C. In which year will the Hispanic resident population reach 70 million?
Answers
The value of k is approximately 0.034. The projected Hispanic resident population in 2015 is approximately 73.9 million. The Hispanic resident population will reach 70 million in approximately 24.7 years after 2000, which corresponds to the year 2024.
To find k, we can use the fact that A = 35.3 million when t = 0 (i.e., in 2000), and A = 50.5 million when t = 10 (i.e., in 2010). Substituting these values into the exponential growth function, we get
35.3 = 35.3e^0k
50.5 = 35.3e^(10k)
Dividing the second equation by the first equation, we get
50.5/35.3 = e^(10k)
Taking the natural logarithm of both sides, we get
ln(50.5/35.3) = 10k
Solving for k, we get
k ≈ 0.034
Therefore, the exponential growth function is A = 35.3e^(0.034t).
To project the Hispanic resident population in 2015, we need to find A when t = 15 (i.e., 15 years after 2000). Substituting t = 15 into the exponential growth function, we get
A = 35.3e^(0.034*15) ≈ 73.9 million
Therefore, the projected Hispanic resident population in 2015 is approximately 73.9 million.
To find the year in which the Hispanic resident population reaches 70 million, we need to solve the exponential growth function for t when A = 70. Substituting A = 70 into the exponential growth function, we get
70 = 35.3e^(0.034t)
Dividing both sides by 35.3, we get
e^(0.034t) = 70/35.3
Taking the natural logarithm of both sides, we get
0.034t = ln(70/35.3)
Solving for t, we get
t ≈ 24.7
Therefore, the Hispanic resident population will reach 70 million in approximately 24.7 years after 2000, which corresponds to the year 2024.
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Graph y=4/7x−2.
Use the line tool and select two points on the line to graph the line.
Answers
By using slope intercept , These were the two points on the line: (0,-2) and (7,2).
Define slope intercept?A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.
We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.
These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.
We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).
So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.
Graph given below:
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A circle has a diameter of 28 centimeters.
Estimate the area of the circle. Use
3.14
or
22
7
for
π
.
What is the volume of the rectangular prism?
A rectangular prism has a length of 10.4 millimeters, a width of 5 millimeters, and a height of 8 millimeters.
Answers
The area of the given circle is 616 sq.cm.
The volume of rectangular prism is 416 mm³
What is a circle?A circle is a particular type of ellipse when the eccentricity is zero and both foci are present. The locus of points drawn equally apart from the centre is also referred to as a circle. The radius of a circle is the separation between its centre and its periphery. The circle's diameter, which is equal to twice its radius, is the line that splits the circle into two equal pieces.
What is area of circle?Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m², cm², etc.
Area of Circle = πr² or πd²/4, square units
where π = 22/7 or 3.14
according to question,
Area = pi times the radius squared
A = pi * r²
A = 22/7 * 14²
A = 22/7 * 196
A = 4,312 / 7
A = 616 sq. cm.
V = l*w*h
To determine the volume, multiply all three dimensions together.
For Connexus users Rectangular prisms and volume quiz part 2:
l * w * h = 8 * 5 * 10.4 = 416
the volume of rectangular prism is 416 mm³
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Convert the rectangular coordinates (-3√3, 0) into polar form. Express the angle
using radians in terms of over the interval 0 ≤ 0 < 27, with a positive value of r.
Answers
The polar form of the rectangular coordinates (-3√3, 0) is r = 3√3 and θ = 0
To convert the rectangular coordinates (-3√3, 0) into polar form, we can use the following equations:
r = √(x² + y²)
θ = tan⁻¹(y/x)
In this case, x = -3√3 and y = 0, so we have:
r = √((-3√3)² + 0²) = 3√3
θ = tan⁻¹(0/(-3√3)) = tan⁻¹(0) = 0
Since the angle is given in radians over the interval 0 ≤ θ < 2π (which is equivalent to 0 ≤ θ < 6.28318), we need to add 2π to θ if it is negative, to ensure that θ is in the specified interval.
However, in this case, θ is already equal to 0, which is within the specified interval.
Therefore, the polar form of the rectangular coordinates (-3√3, 0) is:
r = 3√3
θ = 0 (in radians, over the interval 0 ≤ θ < 2π)
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WILL MARK AS BRAINLEIST!! ASAP!!
Question in picture!!
I have more questions on my account if you can help!!
Answers
We need to integrate the function
y = 2x - x² with respect to x, from x = 0 to x = 2.
The graph of the function intersects the x-axis at x = 0 and x = 2.
So,
Area of region R = ∫[0,2] (2x - x²) dx
= [x² - (1/3)x³] from 0 to 2
= [2² - (1/3)(2)³] - [0² - (1/3)(0)³]
= 4/3
Now, let's find the equation of the line y = cx. Since the line passes through the origin (0,0), we have y = cx.
To find the value of c that divides the region R into two equal subregions, we need to find the value of x where the
area under the curve y = 2x - x² is equal to the area under the line y = cx.
∫[0,a] (2x - x²) dx = ∫[0,a] cx dx
[2x²/2 - x³/3] from 0 to a = [c/2 x²] from 0 to a
2a²/2 - a³/3 = c/2 a²
We multiply both sides by 6, we get:
12a² - 2a³ = 3ac
2a² - (1/3)a³ = (1/2)ac
2a - (1/3)a² = (1/2)c
c = (4a - (2/3)a²)/2
We know that the area under the line is equal to the area under the curve up to the point of intersection, we have:
∫[0,a] (2x - x²) dx = ∫[0,a] (cx) dx - ∫[a,2] (2x - x²) dx
2a²/2 - a³/3 = c/2 a² - 2a² + (8/3)a³ - 4a + (4/3)a²
10a³/3 - 7a² + 4a = 0
a = 0, 1.4105, -0.6172
The only value of a that is within the range 0 to 2 is a = 1.4105. Substituting this value into the equation for c, we get:
c = (4a - (2/3)a²)/2 = 1.636
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The ratio of girl to boys in mr Day class is 3 to 5 . If there is 15 boys in mr Day class how many more boyz are there then girls
Answers
Answer:
If there are 15 boys in Mr. Day’s class and the girl to boy ratio is 3 to 5, then there are 9 girls in Mr. Day’s class. To find out how many more boys there are than girls, you can subtract the number of girls from the number of boys:
15 boys - 9 girls = 6 more boys than girls.
Step-by-step explanation:
A quadrilateral has vertices P(-5,7), Q(-3,6), and R(-6,0). Which point would make PQRS a rectangle?
~a.) S(-4,-1)
~b.) S(-7,2)
~c.) S(-8,2)
~d.) S(-8,1)
Answers
From the given information about the vertices of the quadrilateral, the point at which the PQRS quadrilateral will be made a rectangle is S(17/14, -1/7).
What is a quadrilateral? What are its properties?A quadrilateral is a four-sided polygon, which means it's an unrestricted shape with four straight sides.The parcels of a quadrilateral include Four sides A quadrilateral has four sides.The sum of the angles in a quadrilateral is always 360 degrees.Each type of quadrilateral has its own unique set of parcels and characteristics.Perimeter The border of a quadrilateral is the sum of the lengths of its sides.Area The area of a quadrilateral can be calculated using colorful formulas, depending on the type of quadrilateral and the information given about its sides and angles.What is a rectangle? What are its properties?An example of a quadrilateral with all four angles at right angles (90 degrees) and opposite sides that are parallel and of equal length is a rectangle.The characteristics of a rectangle are as follows: 4 right angles: A rectangle has four angles, and all four of them are right angles, which means they are all 90 degrees.A rectangle's perimeter is determined by adding the lengths of its four sides, which is equal to twice the length plus twice the width.Area: The length times the breadth of a rectangle equals the area of that shape.Perpendicular sides are opposite sides: A rectangle's opposite sides are perpendicular to one another, therefore when they intersect, they do so at a right angle.Parallelograms include rectangles as well: since a rectangleWe need to find the point that would make PQRS a rectangle. We will first determine the fourth vertex S which, when connected to the remaining three vertices, forms a quadrilateral with four right angles.As opposite sides of a rectangle are parallel and equal in length, we can first find the lengths of PQ and RS, which should be equal in a rectangle.From the distance formula, we have:PQ = [tex]\sqrt{6-7)^{2}} +(-3+5)^{2} =\sqrt{[2^{2}+(-2)^{2} } =\sqrt{8}[/tex]RS = [tex]\sqrt{(0 - 6)^2+ (-5 + 3)^2} + \sqrt{[(-6)^2 + (-2)^2] }= \sqrt40}[/tex]The midpoint of PQ is: [tex][(6 - 5)/2, (-3 - 3)/2] = (0, -3)[/tex]The slope of PQ is: [tex](6 - 7)/(-3 + 5) = -1/2[/tex]The equation of the perpendicular bisector of PQ is:[tex]y + 3 = 2(x - 0) or y = 2x - 3[/tex]The midpoint of RS is: [tex][(0 - 6)/2, (-5 - 0)/2] = (-3, -5/2)[/tex]The slope of RS is: [tex](0 - 6)/(-5 + 3) = 3[/tex]The equation of the perpendicular bisector of RS is :[tex]y + 5/2 = (-1/3)(x + 3) or y = (-1/3)x - 1/6[/tex]Now to find the intersection of these two lines, we can set them equal to each other and compute the value for x:[tex]2x - 3 = (-1/3)x - 1/6[/tex][tex]12x - 18 = -2x - 1[/tex]Adding 2x and 18 to both sides gives:[tex]14x = 17x = 17/14[/tex]To find the y-coordinate of the intersection, substitute x into either equation:[tex]y = 2(17/14) - 3 = 1/7[/tex]So, the point that would make PQRS a rectangle is S(17/14, -1/7).To know more about polygons visit:
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The answer is option c.) S(-8,2).
What is quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
For PQRS to be a rectangle, its opposite sides must be parallel and have equal length. We can find the length of PQ and RS using the distance formula:
PQ = √[(Qx - Px)² + (Qy - Py)²]
= √[(-3 - (-5))² + (6 - 7)²]
= √[4 + 1]
= √[5]
RS = √[(Sx - Rx)² + (Sy - Ry)²]
= √[(-8 - (-6))² + (2 - 0)²]
= √[4 + 4]
= √[8]
Since PQ and RS are not equal, we need to find a point S such that PQRS has equal sides. Moreover, the diagonals of a rectangle bisect each other. Hence, we can use the midpoint formula to find a point that bisects PR:
M = [(-5 - 6)/2, (7 + 0)/2]
= (-11/2, 7/2)
Let's consider each option:
a.) S(-4,-1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-4, -1) cannot be a point of RS.
b.) S(-7,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-7 + 6) = -2, so S(-7, 2) cannot be a point of RS.
c.) S(-8,2)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (2 - 0)/(-8 + 6) = 1, so S(-8, 2) could be a point of RS. Moreover, the distance from S to the midpoint of PR is:
√[(-11/2 - (-8))² + (7/2 - 2)²]
= √[25/4 + 9/4]
= √[34]/2
This is equal to the length of PQ, so PQRS could be a rectangle with S(-8, 2).
d.) S(-8,1)
The slope of PQ is (6 - 7)/(-3 + 5) = -1/2, so the slope of RS must be -1/2 as well. The slope of RS is (1 - 0)/(-8 + 6) = -1, so S(-8, 1) cannot be a point of RS.
Therefore, the answer is option c.) S(-8,2).
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For a trip of x miles, a taxi company charges f(x)=2. 20+0. 6[4x] dollars A. ) What is the cost of a 2. 7-mile trip?
Answers
If a taxi company charges f(x)=2. 20+0. 6[4x] dollars, the cost of a 2.7-mile trip is $8.68.
To find the cost of a 2.7-mile trip using the given function f(x) = 2.20 + 0.6[4x], we substitute x = 2.7 in the function.
f(2.7) = 2.20 + 0.6[4(2.7)]
f(2.7) = 2.20 + 0.6[10.8]
f(2.7) = 2.20 + 6.48
f(2.7) = 8.68
The function f(x) = 2.20 + 0.6[4x] represents the cost of a taxi ride based on the distance traveled. The first term 2.20 represents the base fare, which is added to the cost regardless of the distance.
The second term 0.6[4x] represents the variable cost, which is calculated by multiplying the distance traveled by 4 and then by 0.6. This function helps the customers to calculate their fare in advance and plan their expenses accordingly.
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6)
The value of Tony's investment was $1140 on January 1st. On this date
three years later, his investment was worth $1824. The average rate of
change for this investment was $19 per
(1) day
(2) month
(3) quarter
(4) year
Answers
Answer:
Step-by-step explanation:
Average rate of change = (Ending value - Beginning value) / Time elapsed
Using the formula for the average rate of change, we get:
(1824 - 1140) / 1095 = $0.55 per day
(1824 - 1140) / 36 = $19 per month
(1824 - 1140) / 12 = $54 per quarter
(1824 - 1140) / 3 = $228 per year
Therefore, the average rate of change for Tony's investment was $19 per month.
Part C (30 POINTS)
Explain how your net created in part B can help Leonora's family determine the amount of plastic they will need to wrap around each hay bale.
Answers
To calculate the surface area of the hay bale, the family can use the dimensions of the net created in Part B. They can measure the length and width of the net and then multiply those dimensions to find the surface area. This will give them an accurate estimate of the amount of plastic they will need to cover each hay bale.
By using the net to determine the surface area of each hay bale, Leonora's family can ensure that they have enough plastic to cover all of their hay bales. This can help to prevent spoilage and ensure that the hay remains fresh and usable for a longer period of time. Additionally, by accurately estimating the amount of plastic needed, the family can save money by not purchasing more plastic than necessary.
When we add together the NPV and the false omission rate for any test, why is the sum always 100%?
Answers
The sum of the NPV and false omission rate for any test will always be 100%.
Explaining why is the sum always 100%?The NPV (Negative Predictive Value) is the proportion of people who test negative for a condition and actually do not have it, while the false omission rate is the proportion of people who have the condition but test negative for it.
When we add together the NPV and the false omission rate for any test, we are essentially considering all the cases where the test result is negative.
The NPV represents the proportion of people who truly do not have the condition and test negative for it, while the false omission rate represents the proportion of people who actually have the condition but test negative for it.
Together, these two values cover all possible cases where the test result is negative, which means that they represent the entirety of the negative results for the test.
Since the sum of all probabilities for an event must always equal 100%, the sum of the NPV and false omission rate must also equal 100%.
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How would you describe the amount of money earned over six weekends?
decreasing
can't be determined
staying the same
increasing
Answers
The amount of money earned over six weekends is best described as decreasing. The Option A.
What does decreasing income means?Decreasing income refers to a situation in which an individual or household experiences a reduction in the amount of money earned over a certain period of time.
This can be caused by a variety of factors, such as job loss, reduction in work hours, or a decrease in wages. When income decreases, individuals may find it more difficult to meet their financial obligations, such as paying bills, making rent or mortgage payments, and purchasing basic necessities like food and clothing.
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Hypothesis Testing Using a P-Value Signature Assignment #2
Roller Coasters. The heights in feet of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At a = 0.05, is there enough evidence to reject the claim that the mean height of top- rated roller coasters is 160 feet? (Source: POP World Media, LLC)
325 188 306 107 208 167 105 78 140 232 230 170 170 205 305 135 200 200 100 223 135 195 80 90 120 210 82 161 245 88 70 116 121 146 149 124
1. Express the null and alternative hypothesis in words and as mathematical expressions. Identify which one is the claim?
2. Compute the sample mean and test statistic z. Write out the formulas and show your work. Round off to two decimal places. (EQS)
3. Compute the p value and explain how it was found. (Round off two decimal places.)
4. Describe whether to reject or fail to reject the null hypothesis and explain the decision.
5. Interpret the decision in the context of the original claim. (Critical thinking)
6. In three to five sentence explain how and why hypothesis testing is used. Give an example (Communication)
Answers
Null hypothesis: The mean height of top-rated roller coasters is 160 feet (H0: u = 160).
Solution to the aforementioned questions1) Null hypothesis: The mean height of top-rated roller coasters is 160 feet (H0: u = 160). Alternative hypothesis: The mean height of top-rated roller coasters is not 160 feet (Ha: u ≠ 160). The claim is the null hypothesis.
2) Sample mean = (325+188+306+107+208+167+105+78+140+232+230+170+170+205+305+135+200+200+100+223+135+195+80+90+120+210+82+161+245+88+70+116+121+146+149+124)/36 = 164.97 feet. The test statistic z = (x - μ) / (σ / √n) = (164.97 - 160) / (71.6 / √36) = 1.21.
3) The p-value is the probability of observing a test statistic as extreme as the one computed from the sample, assuming the null hypothesis is true. Using a standard normal distribution table, the p-value is 0.1131.
4) At α = 0.05, the p-value (0.1131) is greater than a. Therefore, we fail to reject the null hypothesis.
5) Based on the statistical analysis, we do not have sufficient evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet.
6) Hypothesis testing is a statistical method used to make decisions based on the analysis of sample data. It is used to determine whether a claim or hypothesis about a population is supported by the evidence provided by the sample data.
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8 Find in degrees. 17 [?] degrees Round to the nearest hundredth.
Answers
Answer:
Θ ≈ 28.07°
Step-by-step explanation:
using the sine ratio in the right triangle
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{17}[/tex] , then
Θ = [tex]sin^{-1}[/tex] ( [tex]\frac{8}{17}[/tex] ) ≈ 28.07° ( to the nearest hundredth )
Evaluate the expression when a = 3 and x = -7 .
-a + 9x
Answers
a = 3 and x = -7
We are then given the expression to evaluate with the given values. We can simply put the given values in for the expression.
So whenever we see an a, we put 3, and for x, we put -7.
-a + 9x
Put in the given values:
-(3) + 9(-7)
Calculate:
-3 + -63
Calculate:
-66
That’s your answer!
Hope this helped!
Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months? a. $58.57 b. $171.37 c. $258.99 d. $317.56
Answers
Answer:
a. $58.57
Step-by-step explanation:
Billy is in a pickle. He has a credit card debt of $3500 with a 16% annual interest rate, and he wants to pay it off in a year. He also wants to ask his boss for a raise, but he doesn't know how much to ask for. Luckily, he has a friend who is good at math and can help him out.
The friend tells Billy that we need to use the formula for the monthly payment of a credit card debt, which is:
P = (r / 12) * B / (1 - (1 + r / 12)^(-n))
where P is the monthly payment, r is the annual interest rate, B is the current balance, and n is the number of months to pay off the debt.
Using this formula, the friend calculates how much Billy is currently paying and how much he would need to pay to clear his debt in 12 months. The friend also finds the difference between these two payments, which is the amount of extra income Billy would need from his raise.
The friend shows Billy the calculations and says:
"Here you go, Billy. You are currently paying $280.42 per month to pay off your debt in 15 months. If you want to pay it off in 12 months, you would need to pay $331.79 per month. That means you would need an additional monthly income of $51.37 from your raise. The closest answer choice to this amount is a. $58.57, so this is the best option."
Billy thanks his friend and says:
"Wow, you are amazing! Thank you so much for helping me out. I'm going to ask my boss for a raise right now. Wish me luck!"
The friend wishes Billy good luck and hopes that he will get his raise and pay off his debt soon.
Given that event E has a probability of 0.31, the probability of the complement of event E
Answers
Explanation: We subtract the given value from 1
1-0.31 = 0.69
The complement of an event is the complete opposite.
Example: heads vs tails
Find the value of x.
Answers
Applying the Angles of Intersecting Chords Theorem, the value of x in the circle is: x = 69 degrees.
What is the Angles of Intersecting Chords Theorem?The Angles of Intersecting Chords Theorem if two chords intersect inside a circle, then the size of the angle formed by the intersection is equal to half the sum of the sizes of the intercepted arcs, along with the size of its vertical angle.
Apply the theorem to find the value of x by creating the equation below:
x = 1/2 * (86 + 52)
x = 1/2 * (138)
x = 69 degrees.
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6PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST
Answers
Answer:
b. 8/17
Step-by-step explanation:
hope this helps ;)
Y'all I really need some help here. 100 points.
Answers
Answer:
42 degrees
Step-by-step explanation:
So, first to find <QUT, which is a vertical angle, we have to figure out either QUR or TUS. So:
9x+3=11x-27
solve for x:
x=15
Then, plug it into one of the equations. Let's use 9x+3.
9(15)+3=138
So, we know that QUR is 138 degrees.
That means that TUS is ALSO 138.
138x2=276
Now we know that QUT and RUS have to equal whatever 360-276 is:
360-276=84
QUT and RUS have to equal 84 degrees, so we DIVIDE by 2.
84/2=42
So, QUT=42 degrees
Answer:
42 Degrees
Step-by-step explanation
Becuase (11x-27) and (9x+3) are vertical angles that means they are equal to each other
(11x - 27) = (9x + 3)
First you will add 27 to both sides
11x -27 = 9x +3
+27 +27
Making it to:
11x = 9x + 30
Now you need to subtract 9x from both sides
11x = 9x +30
-9x -9x
Turning it into this
2x= 30
Now Lastly, divide both sides by 2
2x = 30
2x 2x
And the answer is...... X=15
Now that you have the x value, we go back to the 11x-27 and replace the X with 15
11(15) -27 = 138 degress
Now because angle QUT and 138 degrees make a straight line that means together they will be 180 degress so you will subtract 180 by 138
Giving you the final answer of
42 Degrees
You decide this is not enough time so you decide to ration your meals. You a
(75%) of each meal instead. So, one ration = 0.75 meals. How many total rati
ave?
meals
1 fails
Answers
The total rations will be: 0.75 times the number of meals.
How many rations will you have in total?A ration refers to the fixed portion of food or other goods allowed to each person in times of shortages.
In this context, If you decide to eat only 75% of each meal, that means you will consume 0.75 times the number of meals.
For example, if you originally had 100 meals, you will now have:
= 0.75 x 100
= 75 rations in total.
This approach allows to stretch your meals and make them last longer by rationing your food intake.
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please solve and explain
Answers
The length of curve DE is equal to 26.25 units.
What is Pythagorean theorem?In Mathematics and Geometry, Pythagorean's theorem is modeled by the following mathematical expression:
x² + y² = z²
Where:
x, y, and z represents the length of sides or side lengths of any right-angled triangle.
In order to determine the length of the hypotenuse in this right-angled triangle, we would have to apply Pythagorean's theorem as follows;
AC² + BC² = AB²
20² + 15² = AB²
AB² = 400 + 225
AB = √625
AB = 25 units.
For the length of curve DE, we have:
DE = 105% of AB
DE = 1.05 × 25
DE = 26.25 units.
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can anyone help to answer this question
Answers
Answer:
it's 17.04 as u showed in the answer
Step-by-step explanation:
1st u change the mixed no. to improper fraction
2nd u will multiply it by it's resprocal then u will get 17.04
monthly sales are independent normal random variables with mean and standard deviation a. find the probability that exactly of the next months have sales greater than 100. b. find the probability that the total of the sales in the next
Answers
Answer: We can use the properties of the normal distribution to solve both parts of this problem.
a) The number of months with sales greater than 100 is a binomial random variable with parameters n = the number of months and p = the probability of a single month having sales greater than 100. Since each month is an independent normal random variable, we can use the standard normal distribution to find this probability. Let X be the number of months with sales greater than 100. Then:
X ~ Binomial(n, p)
where n is the number of months and p is given by:
p = P(X_i > 100) = P(Z > (100 - a) / a)
where Z is a standard normal random variable.
Using the binomial probability formula, the probability of exactly k months having sales greater than 100 is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
So the probability of exactly 3 months having sales greater than 100 is:
P(X = 3) = (n choose 3) * p^3 * (1 - p)^(n - 3)
= (12 choose 3) * P(Z > (100 - a) / a)^3 * [1 - P(Z > (100 - a) / a)]^(12 - 3)
b) The total sales in the next 12 months is a normal random variable with mean 12a and standard deviation sqrt(12)a. Let Y be the total sales in the next 12 months. Then:
Y ~ Normal(12a, sqrt(12)a)
The probability of the total sales being greater than some value x can be found by standardizing Y and using the standard normal distribution:
P(Y > x) = P((Y - 12a) / (sqrt(12)a) > (x - 12a) / (sqrt(12)a))
= P(Z > (x - 12a) / (sqrt(12)a))
where Z is a standard normal random variable. So the probability of the total sales in the next 12 months being greater than 1500 is:
P(Y > 1500) = P(Z > (1500 - 12a) / (sqrt(12)a))
Step-by-step explanation:
A pitcher contains 3 quarts of iced
tea. John is going to pour the iced tea
into glasses that each hold 1½ cups.
How many glasses will John fill?
Answers
John will be able to fill 8 glasses with iced tea.
How many cups are in 3 quarts of iced tea?To convert quarts to cups, we need to multiply the number of quarts by 4, since 1 quart is equal to 4 cups. So, 3 quarts of iced tea is equivalent to 3 x 4 = 12 cups of iced tea.
Since each glass holds 1½ cups of iced tea, John will need to divide the total cups of iced tea by the capacity of each glass: 12 cups / 1.5 cups/glass = 8 glasses.
Therefore, John will fill 8 glasses with iced tea.
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Altogether the Green Team jumped 10264 times. The Yellow Team did 759 fewer jumps than the Green Team. How many jumps did the Yellow Team do?
Answers
Your friend in college decides to purchase textbooks using his credit card, which has an APR
(Annual Percentage Rate) of 12.5% compounded continuously. He charges $500 for the
textbooks. Without making any payments, after how many years will his credit card balance be
$1360? Round your answer to the nearest year.
Answers
If your friend in college decides to purchase textbooks using his credit card. The number of year his credit card balance be $1360 is 8 years.
How many years will his credit card balance be?We can use the continuous compounding formula to solve this problem:
A = Pe^(rt)
where A is the ending balance, P is the initial balance, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years.
In this case, we want to solve for t when P = 500 and A = 1360. The interest rate is given as 12.5% compounded continuously, which means r = 0.125. Substituting these values into the formula, we get:
1360 = 500e^(0.125t)
Dividing both sides by 500, we get:
e^(0.125t) = 2.72
Taking the natural logarithm of both sides, we get:
0.125t = ln(2.72)
Solving for t, we get:
t = ln(2.72)/0.125 ≈ 8
Rounding to the nearest year, we get that it will take 8 years for the credit card balance to reach $1360 without making any payments.
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answer correctly
Spirit
Answers
The coordinates of point P are (6.4, 18, -12).
What is the coordinate of point?A coordinate of a point refers to a set of values that specify the position of that point in a particular reference system or coordinate system. Coordinates are used to uniquely identify the location of a point in a geometric space, such as a plane or a three-dimensional space.
According to the given information:
To find the coordinates of point P, we can use the concept of vector comparison. We are given that the ratio of vector AB to vector AP is 6:4.
Let's denote the coordinates of point P as (x, y, z).
Given:
AB vector = (10, 2, -6)
B coordinates = (4, 6, -8)
AB:AP = 6:4
We can calculate the coordinates of point P as follows:
Since AB:AP = 6:4, we can express this as a vector equation:
(10, 2, -6) / (x - 4, y - 6, z + 8) = 6/4
Now we can cross-multiply to get:
10 / (x - 4) = 6/4
2 / (y - 6) = 6/4
-6 / (z + 8) = 6/4
Simplifying further, we have:
10(x - 4) = 6 * 4
2(y - 6) = 6 * 4
-6(z + 8) = 6 * 4
Expanding the equations, we get:
10x - 40 = 24
2y - 12 = 24
-6z - 48 = 24
Solving these equations, we get:
10x = 64
2y = 36
-6z = 72
Dividing by the respective coefficients, we get:
x = 6.4
y = 18
z = -12
So, the coordinates of point P are (6.4, 18, -12).
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the average score of 100 students taking a statistics final was 70, with a standard deviation of 7. assuming a normal distribution, what test score value separates the top 2.5% of the students from the rest of the students? (show your work)
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The average score of 100 students taking a statistics final was 70, with a standard deviation of 7. The test score esteem that isolates the beat 2.5% of normal distribution from the rest of the understudies is roughly 83.72.
To discover the test score esteem that isolates the best 2.5% of the understudies, we got to discover the z-score comparing to that rate utilizing the standard ordinary conveyance table.
z = (x - μ) / σ
To discover the z-score compared to the best 2.5%, we see up the region of the right-hand tail of the standard normal distribution table, which is 0.025. This compares to a z-score of roughly 1.96.
Presently ready to utilize the z-score equation to unravel for x:
1.96 = (x - 70) / 7 Increasing both sides by 7, we get:
x - 70 = 13.72
Including 70 to both sides, we get:
x = 83.72
Hence, the test score esteem that isolates the beat 2.5% of the understudies from the rest of the understudies is roughly 83.72.
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