The width of the river is approximately 45m.
How to calculate the width of the river?Let's say the illustration may be explained as follows:
The big right triangle is located inside the river, with its base extending down one of its sides and its height spanning its breadth.
The base of the little right triangle lies on the opposite bank of the river, outside of it.
Triangles don't cross over one another. Their bases' endpoints contact, as does the end of their hypotenuses.
Let's assume the two right triangles are similar (which means they have proportional sides).
H1/B1 = H2/ B2
which is H1/55 = 21.4/26
=21.4/26 x 55
= 45.27
It is the larger triangle is the width of the river
If the smaller triangle represents the land on one side of the river and the larger triangle includes both the land and the river, we need to find the width of the river by subtracting the base of the smaller triangle from the base of the larger triangle:
Width of the river = 55 - 26 = 29 meters
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annie sold her camers for $250 making a loss of 12% what price was the camera when annie bought it? round your answer to the nearest cent
Let's assume that the original price of the camera is x.
Since Annie sold the camera at a loss of 12%, the selling price is 88% of the original price.
So we can set up the equation:
0.88x = $250
To solve for x, we can divide both sides by 0.88:
x = $250 ÷ 0.88
x = $284.09
Therefore, the original price of the camera was $284.09.
A car has 12,500 miles on its odometer. Say the car is driven an average of 40 miles per day. Choose the model that expresses the number of miles N that will be on its odometer after x days Choose the correct answer below ( A. N(x)=12.500x + 40 OB. N(x)--40x + 12,500 OC. Nx)-40-12,500 O D. N(x)-40x+12,500
The correct answer is B.
N(x) = 40x + 12,500.
This is because we know that the car is driven an average of 40 miles per day, so after x days, it will have traveled a total of 40x miles.
Adding this to the initial 12,500 miles on the odometer gives us the expression N(x) = 40x + 12,500 for the total number of miles on the car's odometer after x days.
Based on the given information, the correct answer is B.
N(x) = 40x + 12,500
This model represents the total number of miles (N) on the odometer after x days, taking into account the initial 12,500 miles and the average daily increase of 40 miles.
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The correct answer is B.N(x) = 40x + 12,500.
This is because we know that the car is driven an average of 40 miles per day, so after x days, it will have traveled a total of 40x miles.
Adding this to the initial 12,500 miles on the odometer gives us the expression N(x) = 40x + 12,500 for the total number of miles on the car's odometer after x days.
Based on the given information, the correct answer is B.
N(x) = 40x + 12,500
This model represents the total number of miles (N) on the odometer after x days, taking into account the initial 12,500 miles and the average daily increase of 40 miles.
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The cost for carpet installation is as follows: carpet-$8 per square foot carpet padding-
$0.30 per square foot;labor-$0.75 per square foot: hauling away old carpet-$1.30 per
square foot. How much will it cost for Vince to get new carpet installed? (Hint: Round your
previous answer up to the nearest foot so there is enough carpet to cover the room.)
it will cost Vince $5,175 to get new carpet installed, assuming the area to be covered is 500 square feet.
How much will it cost for Vince to get new carpet installed?To calculate the cost for Vince to get new carpet installed, we need to add up the cost of the carpet, padding, labor, and hauling away the old carpet.
Let's assume that the area to be covered is 500 square feet. Then, the cost for each component can be calculated as follows:
Cost of carpet = $8/sq ft * 500 sq ft = $4,000
Cost of carpet padding = $0.30/sq ft * 500 sq ft = $150
Cost of labor = $0.75/sq ft * 500 sq ft = $375
Cost of hauling away old carpet = $1.30/sq ft * 500 sq ft = $650
Total cost = Cost of carpet + Cost of carpet padding + Cost of labor + Cost of hauling away old carpet
= $4,000 + $150 + $375 + $650
= $5,175.
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C an someone show me step by step how to do this and correctly please
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 45 yards. The left vertical side is 20 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 10 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 12 yards.
What is the area of the playground?
900 square yards
855 square yards
1,710 square yards
1,305 square yards
I need the answer now
please help
The volume of the solid is 761.97 in².
The mistake the student made is that the student did not subtract the square of the radius of the inner hollow cylinder from the square of the radius of the main cylinder.
How to find the volume of the solid?
The volume of the solid can be found by adding the volume of hollow cylinder and the volume of the cone. That is:
Volume of solid = volume of hollow cylinder + volume of the cone
Volume of solid = π(R²-r²)H + 1/3πR²h
where R = 8/2 = 4 in, r = 2 in, H = 18 in and h = 5 in
Volume of solid = [3.14 * (4²-2²) * 18] + [1/3 * 3.14 * 4² * 5]
Volume of solid = 678.24 + 83.73
Volume of solid = 761.97 in²
The mistake the student made is that the student did not subtract the square of the radius of the inner hollow cylinder from the square of the radius of the main cylinder.
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A candle is in the shape of a cylinder. The candle has a diameter of 3. 5 inches and a height of h inches. Which equation can be used to find V, the volume of this candle in cubic inches?
The volume of the candle is,⇒ V = 31.4 in³.What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.Given that;A candle in the shape of a cylinder has the dimensions shown, in inches.And, Diameter of candle = 5 in.Height of candle = 8 in.We know that;Volume of cylinder = πr²hHence, We get;The volume of the candle is,⇒ V = 3.14 × (5/2)² × 8⇒ V = 3.14 × 10⇒ V = 31.4 in³.Thus, The volume of the candle is,⇒ V = 31.4 in³.
A use case description documents (among other things) ____.
A. a description of alternative courses of action
B. post conditions
C. preconditions
D. assumptions
A use case description documents (among other things) A. a description of alternative courses of action, B. postconditions, and C. preconditions. These elements help provide a clear understanding of how a system should interact with its users and the expected outcomes.
A document can be defined as a form of information that might be useful to a user or set of users1. It can be either digital or nondigital1. Different methods are used to store digital and non-digital documents
There are different types of documents such as job descriptions2, and project descriptions. and technical descriptions5.
A use case description documents (among other things) A. a description of alternative courses of action, B. postconditions, and C.
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What is the power of the hypothesis test, using the decision rule given above, if the population mean amount of mercury is 11.5 micrograms per ounce? Give your answer to 4 decimal places.
The true population mean amount of mercury is actually 12 micrograms per ounce (which is a difference of 0.5 from the null hypothesis value of 11.5), then the test has a 76.29% chance of correctly rejecting the null hypothesis and concluding that the mean amount of mercury is different from 11.5 micrograms per ounce.
In hypothesis testing, the power of a test refers to the probability of correctly rejecting a false null hypothesis.
To calculate the power of a test, we need to know the significance level of the test, the sample size, the effect size, and the variance of the population.
Additionally, we need to know the specific hypothesis being tested, as the decision rule and power calculation depend on the null and alternative hypotheses.
A hypothesis test for the population mean amount of mercury in a certain type of fish.
Test whether the mean amount of mercury is different from 11.5 micrograms per ounce, using a two-tailed test at a significance level of 0.05.
If the sample size is 100, the effect size is 0.5, and the population variance is 4, then the power of the test is approximately 0.7629.
This means that if the true population mean amount of mercury is actually 12 micrograms per ounce (which is a difference of 0.5 from the null hypothesis value of 11.5), then the test has a 76.29% chance of correctly rejecting the null hypothesis and concluding that the mean amount of mercury is different from 11.5 micrograms per ounce.
The hypothesis test, it is impossible to calculate the power.
It is essential to know the specific hypothesis being tested, as well as the details of the test, such as the sample size, effect size, and variance.
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Which conic section is represented by the equation shown below?
x² + y²8x-10y+10=0
OA. Ellipse
B. Hyperbola
C. Circle
OD. Parabola
What is the sum and the product of x^2-9x+8
The sum of the roots of x² - 9x + 8 is 9. The product of the roots of x² - 9x + 8 is 8.
What is quadratic equation?A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form ax² + bx + c = 0, where x is the variable and a, b, and c are constants.
According to question:The expression x² - 9x + 8 can be factored as follows:
x² - 9x + 8 = (x - 1)(x - 8)
To check that this factorization is correct, you can expand the expression using the distributive property:
(x - 1)(x - 8) = x² - 8x - x + 8 = x² - 9x + 8
So the factorization is indeed correct.
The sum of the roots of the quadratic equation ax² + bx + c = 0 is given by -b/a, where a, b, and c are the coefficients of the equation. In this case, a = 1, b = -9, and c = 8, so the sum of the roots is:
-sum of roots = -b/a = -(-9)/1 = 9
Therefore, the sum of the roots of x² - 9x + 8 is 9.
The product of the roots of the quadratic equation ax² + bx + c = 0 is given by c/a. In this case, c = 8 and a = 1, so the product of the roots is:
product of roots = c/a = 8/1 = 8
Therefore, the product of the roots of x² - 9x + 8 is 8.
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function for domain -12,-7,0,4,12 range0,1,2
If the domain is{ -12,-7,0,4,12} and range is {0,1,2} then the function is {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}
The domain of a function is the set of values that we are allowed to plug into our function.
This set is the x values in a function such as f(x).
The range of a function is the set of values that the function assumes
domain is{ -12,-7,0,4,12} range is {0,1,2}
The function that has the given domain and range is:
{(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}
Therefore, the function is {(4, 1), (-7, 0), (12, 2), (0, 0), (-12, 1)}
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Which function has the following domain and range?
Domain: {-12, - 7, 0, 4, 12}
Range: {0, 1, 2}
O {(-12, 12), (0, 2)}
O {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}
O {(-12, 0), ( – 7, 1), (0, 2), ( – 4, 5), (3, -1)}
O {(0,4), (2, 12), (1, -7), (0, - 12), (1, 0)}
True or False: A z-score measures how many standard deviations an individual value is from the mean.
A z-score is a statistical measurement that indicates how many standard deviations an individual value is from the mean - True.
The mean from the value of interest and dividing the result by the standard deviation.
This standardized score provides a way to compare values from different data sets or populations.
For example, if a student's score on a test is 80 and the mean score for the class is 70 with a standard deviation of 5, the student's z-score would be 2.
This means that the student's score is two standard deviations above the class mean. This information can be useful in understanding the student's performance relative to their peers.
Z-scores can also be used to identify outliers or extreme values in a data set. Values with a z-score greater than 3 or less than -3 are considered to be outliers and may warrant further investigation.
In summary, a z-score is a valuable tool in statistical analysis that measures how many standard deviations a value is from the mean. It provides a standardized way to compare values across different data sets and can help identify outliers or extreme values.
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The point p has a value of 2 and is represented on the top number line with a point. All that is known about point q is that |q| = 5. Using the top number line, locate p + q and p + (-q)
Using the top number line, p + q and p + (-q) can be located as shown in the attached image.
How to locate points on a number line?A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations. It is also a pictorial representation of the real numbers.
Since point p has a value of 2 and point q has |q| = 5. We can say:
p + q = 2 + 5 = 7
p + (-q) = 2 + (-5) = -3
Therefore, using the top number line, we can then locate p + q and p + (-q) with their calculated values (Check the green dot in the attached image).
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Complete Question
Check the attached image
a hose fills hot tub at 4.6 gallons per minute. how many hours will it take to fill a 440-gallon hot tub?
It will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute
Assuming that the filling rate of the hose is constant, we can use the formula:
time = volume / rate
where time is the time taken to fill the hot tub, volume is the volume of the hot tub (440 gallons), and rate is the filling rate of the hose (4.6 gallons per minute).
Substituting the values, we get:
time = 440 / 4.6
which simplifies to:
time = 95.65 minutes
To convert minutes to hours, we divide by 60 (since there are 60 minutes in an hour):
time = 95.65 / 60
which simplifies to:
time = 1.59 hours
Therefore, it will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute.
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It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.
To determine how many hours follow these steps:
First, we need to find out how many minutes it takes to fill the hot tub.
Divide the total volume of the hot tub (440 gallons) by the rate at which the hose fills (4.6 gallons per minute):
440 gallons ÷ 4.6 gallons/minute = 95.65 minutes
Now, we need to convert the minutes into hours.
Since there are 60 minutes in an hour, divide the minutes by 60:
95.65 minutes ÷ 60 minutes/hour = 1.594 hours
It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.
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x2 − 12x + 49 = 22.
Which equation has the same solution(s) as the given equation?
M. (x − 6)2 = 9
P. (x − 7)2 = 22
R. (x + 7)2 = 4.7
S. (x − 12)2 = −27
By quadratic formula the equation that has the same solution(s) as X² − 12x + 49 = 22 is M. (x − 6)² = 9 since it has solutions x=3 and x=9 which are also solutions to X² − 12x + 49 = 22
quadratic formula defined?The quadratic equation ax² + bx + c = 0 can be resolved using the quadratic formula.
that uses the constants (a, b, c) and the numerical coefficients.
When factoring cannot be utilized to solve the quadratic expressions, this approach of solving a quadratic equation is typically used.
x = √(b² - 4ac) / (-b √(b²) / (2a)
We must solve each of the preceding equations to determine which one has the same solution(s) as X²- 12x + 49 = 22 in order to determine which equation has the same solution(s) as X²- 12x + 49 = 22.
Let's start by figuring out X²- 12x + 49 = 22:
X² − 12x + 49 = 22
X² − 12x + 27 = 0
The quadratic formula can then be used to find the value of x:
x = √(b² - 4ac) / (-b√(b²) / (2a)
where a=1; b=-12; and c=27.
x = (-(-12) ±√((-12)² - 4(1)(27))) / (2(1))
x = (12 ±√(144 - 108)) / 2
x = (12 √(36))/ 2
x = (12 6) / 2
x = 6,3
So x = 6,3 is the answer to the equation X²- 12x + 49 = 22.
Let's now resolve each of the provided equations:
M. (x − 6)² = 9 (x -6)² -9=0
(x-6+3)(x-6-3)=0
(x-3)(x-9)=0, where x=3 or x=9
P. (x − 7)² = 22 (x-7)²-22=0
(x-7+√(22))=0
(x=7+√(22))
or (x=7-√(22))
R. (x + 7)² = 4.7 (x+7)²-4.7=0
(x+7+√(4.7))(x+7-√(4.7))=0
No effective remedies
S. (x − 12)²= −27 (x-12)²+27=0
No effective remedies
Therefore, the equation that has the same solution(s) as X² − 12x + 49 = 22 is M. (x − 6)² = 9
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Given f(x) =-3x^2 - 2r
Find f(8)
Answer: f(8) = -208
Step-by-step explanation:
To solve, we will substitute 8 into the equation for x.
Given:
f(x) = -3x² - 2x
Substitute 8 for x:
f(8) = -3(8)² - 2(8)
Square:
f(8) = -3(64) - 2(8)
Multiply:
f(8) = -192 - 16
Subtract:
f(8) = -208
A water sprinkler sends water out in a circular pattern. What is the area formed by the water pattern if it can spray out 21 feet in any direction? Use 3.14 for r.
If "water-sprinkler" sends out water 21 feet in any direction in circular pattern, then the area formed by water pattern is 1384.74 feet².
If the sprinkler can spray water out 21 feet in any direction, then the radius of the circular pattern formed by the water is 21 feet.
The formula for area of circular pattern is : A = πr², where 'r" is = radius of the circle.
Substituting the radius of circular pattern as 21 feet,
We get,
⇒A = πr² = 3.14 × 21 × 21 = 1384.74 ft².
Therefore, the area formed by the water pattern is 1384.74 square feet.
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If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, add 3 to it and multiply the result by 7."
7B Math: Efficiency Expert Portfolio
Directions:
You will mathematically and experimentally show how 4 figures made from the SAME size paper will produce different volumes.
Take 4 sheets of paper (I used 8 ½ x 11 printer paper you will use 8x10 in) and create:
-A: tall rectangular prism
-B: short rectangular prism
-C: tall cylinder
-D: short cylinder
Mathematically you will figure the dimensions of your shapes just using your paper dimensions versus a ruler.
A: B: C: D:
Volume of Prism: l x w x h
Volume of Cylinder: r x r x 3.14 x h
So we will use our paper dimensions to find the shape measurements needed to find the volume of each one.
A and B….the prisms are easy. We just take the dimension and divide it by 4 to find our measurement.
C and D ….the cylinders are a bit more tricky. We know the circumference of our circle tops and the heights of our cylinders but we need to find the radius of our circle top.
Circumference = diameter x 3.14
11 = d x 3.14
Divide both sides by 3.14 to find the diameter
11/3.14 = d
3.5 = d but in finding the volume of the cylinder we need the radius.
d/2 = r 3.5/2 = 1.75 in
According to the information, we can infer that the dimension of each shape is A are 8 x 8.5 x 2, B are 8 x 2 x 10, olume of 401.9 cubic inches, height of 2 inches and a radius of 4 inches.
How to calculate the dimensions of each shape?For shape A, the height of the rectangular prism is equal to the length of the paper (8 inches) and the width is equal to one-fourth of the width of the paper (2 inches). Therefore, the dimensions of shape A are 8 x 8.5 x 2.
For shape B, the height of the rectangular prism is equal to one-fourth of the length of the paper (2 inches) and the width is equal to the width of the paper (8 inches). Therefore, the dimensions of shape B are 8 x 2 x 10.
For shape C, the height of the cylinder is equal to the length of the paper (8 inches) and the radius of the circle top is equal to one-half of the width of the paper (4 inches). Therefore, the dimensions of shape C are a height of 8 inches and a radius of 4 inches, giving a volume of 401.9 cubic inches (rounded to one decimal place).
For shape D, the height of the cylinder is equal to one-fourth of the length of the paper (2 inches) and the radius of the circle top is equal to one-half of the width of the paper (4 inches). Therefore, the dimensions of shape D are a height of 2 inches and a radius of 4 inches, giving a volume of 100.5 cubic inches (rounded to one decimal place).
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What type of triangle 38, 38, and 104
Answer:
A triangle with side lengths of 38, 38, and 104 is an isosceles triangle. This is because it has two sides of equal length (the two sides that are both 38 units long).
Step-by-step explanation:
A study has a 2 Ã 2 Ã 3 within-groups factorial design. This example has a total of ___ cell(s). Researchers would need to investigate ___ main effect(s), ___ two-way interaction(s), and ___ three-way interaction(s) in this study.
A study has a 2 Ã 2 Ã 3 within-groups factorial design. This example has a total of _12_ cell(s). Researchers would need to investigate _three__ main effect(s), _Three two-way interactions __ two-way interaction(s), and _ One three-way interaction__ three-way interaction(s) in this study.
a 2 x 2 x 3 within-groups factorial design, you have:
A total of 2 x 2 x 3 = 12 cells
Three main effects to investigate (one for each factor)
Three two-way interactions to investigate (AxB, AxC, and BxC)
4. One three-way interaction to investigate (AxBxC)
So, in this study, there are 12 cells, researchers would need to investigate 3 main effects, 3 two-way interactions, and 1 three-way interaction.
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A wall 12 feet long makes a corner with a wal
that is 14 feet long. The other ends of the walls
are about 18.44 feet apart. Do the walls form a
right angle? Explain.
Yes, the walls form a right angle.
To determine if the walls form a right angle, we can use the Pythagorean theorem. The question states that a wall 12 feet long makes a corner with a wall that is 14 feet long, and the other ends of the walls are about 18.44 feet apart.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, let's consider the 12-foot and 14-foot walls as the two shorter sides, and the 18.44-foot distance as the potential hypotenuse.
Step 1: Calculate the square of the lengths of the 12-foot and 14-foot walls.
12² = 144
14² = 196
Step 2: Calculate the sum of the squares of these two sides.
144 + 196 = 340
Step 3: Calculate the square of the length of the 18.44-foot distance.
18.44² ≈ 339.95
Since 339.95 is very close to 340, we can conclude that the walls form a right angle.
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jim tosses a fair coin to decide whether his next vacation will be in hawaii or alaska. if it is a head, jim visits hawaii, or else he decides to visit alaska. if in hawaii, jim surfs during the vacation with a probability of 0.9. if in alaska, jim is going to surf in the ocean with probability 0.1 only. given that we know that jim went on surf- ing during the vacation, what is the conditional probability that his vacation was in alaska?
the conditional probability that Jim's vacation was in Alaska given that we know he went surfing during the vacation is 0.1, or 10%.
Let A be the event that Jim's vacation was in Alaska, and let S be the event that Jim went surfing during the vacation. We want to find P(A|S), the conditional probability that Jim's vacation was in Alaska given that we know he went surfing during the vacation.
By Bayes' theorem, we have:
P(A|S) = P(S|A) * P(A) / P(S)
We can calculate each term as follows:
P(S|A) = 0.1: the probability that Jim went surfing during the vacation given that he was in Alaska.
P(A) = 0.5: the probability that Jim's vacation was in Alaska, since he tosses a fair coin to decide between Hawaii and Alaska.
P(S) = P(S|A) * P(A) + P(S|H) * P(H) = 0.1 * 0.5 + 0.9 * 0.5 = 0.5: the total probability of Jim going surfing during the vacation, since he either went surfing in Alaska with probability 0.1 or went surfing in Hawaii with probability 0.9.
Therefore, we have:
P(A|S) = P(S|A) * P(A) / P(S) = 0.1 * 0.5 / 0.5 = 0.1
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My apologies about the poor camera quality
The quadratic equation in the given graph is:
y = -3(x - 1)^2 + 4
How to write the quadratic.
Look at the vertex, is it at (1, 4), then we can write the general quadratic equation in the vertex form (with a leading coefficient a) as follows:
y = a(x - 1)^2 + 4
Now the function passes through (0, 1) then we can replace these values in the equation above to get.
1 = a(0 - 1)^2 + 4
1 = a + 4
1 - 4 = a
-3 =a
The quadratic equation is:
y = -3(x - 1)^2 + 4
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You deposit $200 in an account that earns simple interest at an annual rate of 5.2%. How much money is in the account after 5 years?
The money in the account will be $252.
For simple interest, use the formula:
I = Prt
where I stands for interest earned, P for principle (amount paid in the beginning), r for yearly interest rate (in decimal form), and t for the time in years.
P equals $200, r equals 0.052, and t equals 5. With these values entered into the formula, we obtain:
I = Prt = ($200)(0.052)(5) = $52
The account will thus have $52 in interest after 5 years. After five years, we add the interest to the principal to determine the account's total balance:
Total = $200 + $52 = $252
Therefore, after five years, the account will have $252.
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calculate a lower confidence bound using a confidence level of 99% for the percentage of all such homes that have electrical/environmental problems.
With a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.
To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have electrical/environmental problems, we need to have a sample of data on this issue. Let's assume that we have a random sample of 100 homes, and 20 of them were found to have electrical/environmental problems.
To calculate the lower confidence bound, we can use the formula:
Lower bound = p - zα/2 * sqrt(p * (1-p) / n)
where:
p = proportion of homes in the sample that have electrical/environmental problems = 20/100 = 0.2
zα/2 = z-score for the given confidence level of 99% = 2.576 (obtained from a standard normal distribution table or calculator)
n = sample size = 100
Plugging in these values, we get:
Lower bound = 0.2 - 2.576 * sqrt(0.2 * 0.8 / 100) = 0.083
Therefore, with a 99% confidence level, we can say that the true proportion of all homes that have electrical/environmental problems is at least 8.3%.
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This means we can be 99% confident that the true percentage of all homes with electrical/environmental problems is
at least 17.5%.
To calculate a lower confidence bound using a confidence level of 99% for the percentage of all homes that have
electrical/environmental problems, you would need a sample of homes and the number of homes in the sample that
have such problems. Using this information, you could calculate the sample proportion (p-hat) of homes with
electrical/environmental problems.
Then, using a formula or calculator, you could find the lower confidence bound by subtracting the margin of error (ME)
from the sample proportion.
The margin of error can be calculated using the sample proportion, sample size, and the chosen confidence level (in
this case, 99%).
For example, if the sample proportion is 0.25 and the sample size is 100, the margin of error would be 0.075 and the
lower confidence bound would be 0.175 (0.25 - 0.075).
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number 1 i need help with please
The volume of the cube is 1.82 in³
How to find the volume of the cube?We know that the formula for the area of the cube, as a function of the volume, is:
A = 326*V^(2/3)
Solving that equation for V, we will get.
V = (A/326)^(3/2)
Then the volume of a cube whose surface area is A = 486 square inches is:
V = (486 in²/326)^(3/2)
V = 1.82 in³
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Destiny's mother started a college fund when Destiny was born. She deposited $9,300 into a CD (certicate of deposit) that yields an interest rate of 0.46%
compounded annually. How much money will the CD be worth when Destiny turns 16 years old?
Answer:
Step-by-step explanation:
$10,008.61
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084
Answer:3,380
Step-by-step explanation:
we need to apply cross-multiplication to the ratio of chili preferences in the sample (60) against the total attendance (8450). This gives us:
(60/150) = (x/8450)
where x is the number of people in attendance who would prefer chili on a hot dog.
Simplifying this equation, we get:
x = (60/150) * 8450x = 3,380
I need help pretty please
Answer:x+2
Step-by-step explanation: