Null hypothesis: Bags are filled correctly at 441 grams. Alternative hypothesis: Bags are overfilled (mean weight > 441 grams).
The null hypothesis (H0) is that the bags are filled correctly at the 441 gram setting, meaning the mean weight of the bags is 441 grams. The alternative hypothesis (Ha) is that the bags are overfilled, meaning the mean weight of the bags is greater than 441 grams. Thus, the hypotheses can be written as:
H0: μ = 441
Ha: μ > 441
To test these hypotheses, we can use a one-sample t-test with a significance level of 0.02. We will compare the sample mean weight of a random sample of bags to the population mean of 441 grams, using the t-test statistic and the corresponding p-value. If the p-value is less than 0.02, we can reject the null hypothesis and conclude that the bags are overfilled
Learn more about Null hypothesis
https://brainly.com/question/28920252
#SPJ4
please explain your answer to the question in a step-by-step manner please.
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7. 80 per pound with French Roast Columbian coffee that cost $8. 10 per pound to make a 20-pound blend. Their blend should cost them $7. 92 per pound. How many pounds of each type of coffee should they buy?
They should mix 16 pounds of City Roast Columbian coffee with 4 pounds of French Roast Columbian coffee to make their blend.
How many pounds of each coffee should be used?Let x be the number of pounds of City Roast Columbian coffee.
Let y be the number of pounds of French Roast Columbian coffee.
The total cost of the blend is 7.80x + 8.10y
The total weight is x + y = 20.
We can write an equation for the cost per pound:
(7.80x + 8.10y) / 20 = 7.86.
We will multiply both sides by 20 which gives:
7.80x + 8.10y = 157.20.
We can use this equation along with the total weight equation to solve for x and y:
x + y = 20
y = 20 - x (subtract x from both sides)
7.80x + 8.10(20 - x) = 157.20 (substitute y = 20 - x into the cost equation)
7.80x + 162 - 8.10x = 157.20 (distribute)
-0.30x = -4.80
x = 16
Solve for the equation (x + y = 20):
y = 20 - x
y = 20 - 16
y = 4.
Read more about equation
brainly.com/question/22688504
#SPJ4
HELLPPPPP PLS!!!! 20 POINTS
Using your calculator, graph these functions and find the solution to the system.
f(x)= x^2 + x - 6
g(x)= -2x^2 - 2x + 12
1- (-3, 0) and (2, 0)
2- (0, -6) and (0, 12)
3- No solution: They do not intersect.
4- (-6, 12)
The solutions to the system of equations f(x) = x² + x - 6 and g(x) = -2x² - 2x + 12 are (-3, 0) and (2, 0). So, correct option is 1.
To graph the functions f(x) and g(x) using a calculator, we can enter the equations into the calculator's graphing function and choose an appropriate window to display the graph. Once the graphs are displayed, we can look for the points of intersection to find the solution to the system of equations.
Using a graphing calculator, we can see that the graphs of f(x) and g(x) intersect at two points: (-3, 0) and (2, 0). These points represent the x-coordinates of the solutions to the system of equations.
To verify that these points are indeed the solutions, we can substitute each of them into both equations and check that they satisfy both equations simultaneously.
For point (-3, 0):
f(-3) = (-3)² + (-3) - 6 = 0
g(-3) = -2(-3)² - 2(-3) + 12 = 0
Therefore, (-3, 0) is a solution to the system of equations.
For point (2, 0):
f(2) = 2² + 2 - 6 = 0
g(2) = -2(2)² - 2(2) + 12 = 0
Therefore, (2, 0) is also a solution to the system of equations.
The point (0, -6) and (0, 12) are not the points of intersection and (-6, 12) is not a solution to the system of equations.
Therefore, the answer is option 1.
To learn more about equations click on,
https://brainly.com/question/29131268
#SPJ1
Which trapezoid is not isosceles
Answer:
D) a trapezoid with congruent diagnols
Explanation:
When none of the sides of a trapezoid are congruent, then it is a non isosceles trapezoid or a scalene trapezoid.
3/8x - 6 = 1/2(4 - x)
Answer:
x= 64/ 7
Step-by-step explanation:
3/8x - 6 = 1/2(4 - x)
3/8x - 6 = 2- 1/2 x
3/8x - 8 = - 4/8 x
so 7/8 x = 8
x = 64/7
The box plots show a random sample of wait times for two more rides at the theme park. 4) Compare the wait times in the box plots. > The median wait time for Thrill Tower is 5 minutes shorter than the median wait time for River Rapids. The IQR for both rides is ? minutes. Wait Times for Rides Thrill Tower 6 8 River Rapids 12 10 Time (min) 14 16
The IQR for both runs is 8 minutes.
What is the interquartile range?If there are outliers or extreme values in the data set, we summarize the typical value using the median instead of the mean. When there are outliers in a data set, the variation is often summarized by a statistic called the interquartile range, which is the difference between the first and third quartiles.
Based on the given box pairs, we can make the following comparisons:
The average wait time at Thrill Tower is about 5 minutes shorter than the average wait time at River Rapids. That's because the centerline of Thrill Tower is about 5 units below the centerline of River Rapids. The IQR (interquartile range) for both times is not directly in the box. However, we can estimate this by finding the distance between the first quartile (Q1) and the third quartile (Q3) of each run. From the box plot of Thrill Tower, we can see that Q1 is around 6 and Q3 is around 14. Therefore, the IQR for Thrill Tower is:
Thrill Tower IQR = Q3 - Q1 = 14 - 6 = 8 minutes
From the box plot for River Rapids, we can see that Q1 is about 8 and Q3 is about 16. Therefore, the IQR for River Rapids is:
River Rapids IQR = Q3 - Q1 = 16 - 8 = 8 minutes
Therefore, the IQR for both runs is 8 minutes.
Learn more about Interquartile range here
https://brainly.com/question/29204101
#SPJ1
Answer: HERE IS THE ANSWER BELOW :)
if you use the normal distribution to estimate the probability that score exceeds 100, would the answer be zero? why does your answer contradict the assumption of a normal distribution for score?
If you use the normal distribution to estimate the probability that score exceeds 100, the answer would be zero.
This is because a normal distribution is a continuous probability distribution, and the probability of any individual score, no matter how high or low, is always zero.
However, this answer contradicts the assumption of a normal distribution for scores because it implies that scores cannot exceed 100, which is not true. Scores can theoretically range from negative infinity to positive infinity, and in practice, there may be some scores above 100, especially if the measurement instrument is imprecise or the test is very difficult.
Therefore, if we observe scores that are higher than 100, it suggests that the assumption of a normal distribution may not be appropriate for the data, and we may need to use a different distribution or statistical model to estimate probabilities or make inferences about the scores.
To learn more about normal distribution here:
https://brainly.com/question/29509087
#SPJ4
Which of the following are true statements?
Check all that apply
The true statements are:
A. The graph of function f(x) = -√(√(√x)) will look like the graph of f(x)=√x but will reflect it about the x-axis and shrink it vertically by a factor of 1/2.
D. f(x) = √x has the same domain but a different range as f(x) = -√x.
What is graph?A graph is a visual representation of a mathematical relationship or data. It consists of points or vertices connected by edges or lines to show the relationship between them.
What is function?A function is a mathematical concept that relates an input value to an output value, such that for each input, there is exactly one output. It can be represented as a set of ordered pairs, a graph, or an equation.
According to the given information:
A. The statement A is true. The graph of function f(x) = -√(√(√x)) is a transformation of the function f(x) = √x. The negative sign outside the square roots will reflect the graph of f(x) = √x about the x-axis, and the multiple square roots will shrink the graph vertically by a factor of 1/2.
B. The statement B is false. The graph of function f(x) = -√(√x) is also a transformation of the function f(x) = √x, but it will only reflect the graph about the x-axis. It will not shrink the graph vertically.
C. The statement C is false. The graph of function |f(x)| = √(√(√x)) is not a transformation of f(x) = √x. The absolute value bars will make the graph symmetric about the y-axis, but it will not shrink it horizontally.
D. The statement is true. The graph of function f(x) = √x and f(x) = sqrt(x) are equivalent, and have the same domain (all non-negative real numbers) but different ranges. The range of f(x) = √x is [0, infinity) while the range of f(x) = sqrt(x) is (0, infinity).
To know more about Graph and Function visit :
https://brainly.com/question/9834848
#SPJ1
hhhhhheeeeeelpppplpppppp
Answer:
∠A=∠P, AC = PR
Step-by-step explanation:
Because triangles ABC and PQR are congruent their corresponding angles and sides are congruent.
So
∠A=∠P
∠B=∠Q
∠C=∠R
Also
Side AB = Side PQ
Side BC = Side QR
Side AC = Side PR
The figure is made up of a rectangle, 2 right triangles and a 3rd triangle.
What is the area of the figure?
Responses:
52 inches
136 inches
34 inches
46 inches
Answer: 136
Step-by-step explanation: it's the only big number
Which is not a legal python statement
a) print("x")
b) 3 + 4 = x
c) x = 3 + 4
d) x = eval(input("Enter x: "))
identify the values of a, h, and k in the given function, and choose the correct transformation.
The correct transformation is - "a is a stretch by a factor of 5, while h moves the graph to the left by 6, and k moves the graph up by 7".
Explain about the algebraic transformation:A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location. Every point in a reflection is equally spaced from a fixed line
The line of symmetry is another name for this curve. The Image and Pre-Image share the same size in a reflection.
General form for the member of the reciprocal family:
y = a /(x - h) + k ..eq 1
For the given function:
y = 5/(x + 6) + 7 ...eq 2
On comparing eq 1 and eq 2
a = 5
h = -6
k = 7
Now,
As, -6 is added to the x value, it shows the shift to left on x axis.5 is multiplied with the value of x, which represents the stretch with factor.At last 7 is added to the function, shows that there is a upward shift by unit 7.Thus, the correct transformation is - "a is a stretch factor of 5, while h moves the graph to the left by 6, and k moves the graph up by 7".
Know more about the transformation
https://brainly.com/question/1548871
#SPJ1
A certain number is increased by 6 and then multiplied by 4. This equals 94.
Answer:
22
i took this one
Answer:
17.5
Step-by-step explanation:
94 divided by 4 is 23.5 and I subtracted 6 from 23.5
If the mogav train travels at a consistent speed of 480 km/h for one fourth of an hour how far does the train travel
The train travels a distance of 120 kilometers.
To calculate the distance traveled by the train, we can use the formula:
Distance = Speed × Time
Given that the train travels at a consistent speed of 480 km/h and the time is one-fourth of an hour, we can substitute these values into the formula:
Distance = 480 km/h × (1/4) hour
To simplify the calculation, we can convert one-fourth of an hour to minutes. Since there are 60 minutes in an hour, one-fourth of an hour is equal to (1/4) × 60 minutes = 15 minutes.
Now, we can calculate the distance:
Distance = 480 km/h × (1/4) hour
= 480 km/h × (1/4) × 60 minutes / 60 (converting hours to minutes)
= 480 km/h × 15 minutes / 60
= 480 km/h × 0.25
= 120 km
Therefore, distance travelled by train is 120 kilometers.
To learn more about distance
https://brainly.com/question/31566291
#SPJ11
i need help please help me
The following are the correct vertical translation and you can use this information to fill the table in the picture:
sqrt{x+5} - shift down 5 units2 - sqrt{x-4} - shift up 2 unitssqrt{x+3} + 1 - shift up 1 unitsqrt{x+4} + 3 - shift up 3 unitssqrt{x-2} - 3 - shift down 3 units3sqrt{x} - 1 - no shiftsqrt{x} + 2 - shift up 2 unitssqrt{x} - 3 - shift down 3 units3sqrt{x-4} - no shiftsqrt{x+6} - no shiftWhat to know about Vertical TranslationA vertical translation refers to a type of transformation that moves a function or graph vertically up or down without changing its shape. Specifically, a vertical translation of distance c is given by the function:
f(x) + c
where f(x) is the original function and c is a constant that determines the amount and direction of the translation. If c is positive, the graph of the function is shifted upwards; if c is negative, the graph is shifted downwards.
For example, the function f(x) = x^2 has a graph that is a parabola opening upwards. If we apply a vertical translation of 2 units, the resulting function is:
f(x) + 2 = x^2 + 2
The graph of this function is also a parabola, but it has been shifted vertically upwards by 2 units. Similarly, a vertical translation of -3 units would give us the function f(x) - 3 = x^2 - 3, which is the same parabola shifted downwards by 3 units.
Learn more about Vertical Translation here:
https://brainly.com/question/14899490
#SPJ1
Jenny is building a kite, as show below.one of the crossbars is 50 1/2cm long and the other is 90 1/2 cm long,how much fabric does she need?
The amount of fabric that should be used to build a kite with the above given dimensions would be = 2,285.125cm²
How to calculate the area of a kite?To calculate the area of a kite the formula that should be used would be = 1/2 d1d2
where d1 = 50½cm
d2 = 90½cm
The area of the kite;
= 1/2 × 50.5×90.5b
= 4570.25/2
= 2,285.125cm²
Learn more about area here;
https://brainly.com/question/25292087
#SPJ1
An electrician is running wire from the electric box on a house to a utility pole 85 feet away. The angle of elevation to the connection on the pole is 17°. How much wire does the electrician need? (Round your answer to two decimal places.)
ft
The electrician needs approximately 296.26 feet of wire.
What is trigonometry?The links between triangle's sides and angles are studied in the mathematic discipline known as trigonometry. It entails an examination of triangle's angles, lengths, and areas as well as their angles' mathematical properties (such as sine, cosine, and tangent).
According to question:The situation described can be modeled as a right triangle, where the wire from the electric box to the pole is the hypotenuse, and the angle of elevation is one of the acute angles. Let x be the length of the wire needed in feet.
Using trigonometry, we can write:
sin(17°) = opposite / hypotenuse
where the opposite side is the height of the connection on the pole above the ground. We can solve for the hypotenuse (the length of wire needed) as follows:
hypotenuse = opposite / sin(17°)
To find the opposite side, we can use the fact that the angle of elevation is 17° and the distance from the pole to the point on the ground directly beneath the connection is 85 feet. This distance is the adjacent side of the triangle, so we can write:
tan(17°) = opposite / 85
Solving for the opposite side, we get:
opposite = 85 tan(17°)
Substituting this into the formula for the hypotenuse, we get:
hypotenuse = (85 tan(17°)) / sin(17°)
hypotenuse ≈ 296.26 feet
Therefore, the electrician needs approximately 296.26 feet of wire.
To know more about trigonometry visit:
https://brainly.com/question/22698523
#SPJ1
Based on the picture, Planter B is 9 inches by 3 inches by 3 inches. What is its volume?
Answer:
81
Step-by-step explanation:
for the volume you just multiple length, height, and depth
Answer: 81.
Step-by-step explanation:
9 x 3 x 3 . LxWxH brother!
-x² + 2x + x - 3x = -9 + 2 + 6
The solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1
How to solve for the value of x in the equationWe shall solve for x by simplifying the equation and making x the subject as follows:
-x² + 2x + x - 3x = -9 + 2 + 6
-x² + 3x - 3x = 8 - 9
-x² = -1
multiply both sides by -1 we have;
x² = 1
take square root of both sides
x = √1
x = 1
Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1
Read more about equation here:https://brainly.com/question/1214333
#SPJ1
I need help mad fast
The correct vocab in written as;
DC = semi-circle
<ECD = minor arc
<ECF = point of tangency
CF = chord
How to determine the corresponding termsTo determine the corresponding terms, we need to take note of the following definitions;
Minor arc: It is defined as the shorter arc that connects two endpoints on a circle. It is usually less than 180 degreesMajor arc: It is defined as an arc that measures greater than 180 degrees.Semi- circle: It divides the circle into two equal halves and measures 180 degreesChord: it is defined as a straight line segment with both endpoints found on a circular arc.Learn about circles at: https://brainly.com/question/24375372
#SPJ1
. provide a description for the standard error. what does it measure? b. what assumption are we making when calculating the standard error of the mean? 372 c. what would you recommend the researchers do next to reduce the standard error of their estimate of the mean home range size?
The standard error measures the variability of the sample mean from the true population mean. It represents the standard deviation of the sampling distribution of the mean and gives an estimate of how much the sample means will vary from one sample to another.
b. When calculating the standard error of the mean, we assume that the sample was randomly selected from the population, and that the sample size is large enough (usually, n > 30) for the central limit theorem to apply.
c. To reduce the standard error of their estimate of the mean home range size, researchers could increase the sample size, which will decrease the standard error by reducing the variability of the sampling distribution of the mean.
Alternatively, they could improve the precision of their measurements or reduce measurement errors to decrease the standard deviation of the sample, which will also decrease the standard error.
Learn more about standard deviation
https://brainly.com/question/23907081
#SPJ4
1 1/2 x 1 1/2 what is the answer for that equation?
Answer:
9/4.
Step-by-step explanation:
Hope this helps! =D
The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
What is the general form of the equation?
Responses
x2+y2+10x+12y+62=0
x squared plus y squared plus 10 x plus 12 y plus 62 equals 0
x2+y2−10x−12y+60=0
x squared plus y squared minus 10 x minus 12 y plus 60 equals 0
x2+y2−10x−12y−62=0
x squared plus y squared minus 10 x minus 12 y minus 62 equals 0
x2+y2+10x+12y+60=0
The general form of the equation is x² + y² - 10x - 12y + 60 = 0.
How find the general form of the equation of a circle?The general form of the equation of a circle is given by:
x² + y² + Cx + Dy + E = 0
Where C, D and E are constant
Given the standard form of the equation of a circle as (x−5)² + (y−6)² = 1, we can rewrite it as follow:
(x−5)² + (y−6)² = 1
(x² - 10x + 25) + (y² - 12y + 36) = 1 (Expand the brackets)
x² + y² - 10x - 12y + 25 + 36 - 1 = 0
x² + y² - 10x - 12y + 60 = 0
Learn more about equation of a circle on:
https://brainly.com/question/1506955
#SPJ1
1,436,492÷2 with steps please
The expression 1,436,492÷2 has a value of 718246 when evaluated because we divided the numbers
Evaluating the expression 1,436,492÷2From the question, we have the following parameters that can be used in our computation:
1,436,492÷2
The above statement is a quotient expression that divide the values of 1,436,492 and 2
Also, there is no need to check if there are like terms in the expression or not
This is because we are dividing the factors
So, we have
1,436,492÷2 = 718246
This means that the value of the expression is 718246
Read more about expression at
brainly.com/question/15775046
#SPJ1
P=70q, p=-q^2+12000
Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given
The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.
The supply function of a commodity is given as, p= 70q
The demand function of the commodity is given as, p= -q^2+12000
We know at equilibrium condition of market,
Supply of a commodity is equal to its demand in the market.
Therefore,
70q = p = -q^2+12000
⇒ 70q = -q^2+12000
⇒ q^2+ 70q -12000 = 0
⇒ q^2+ 150q - 80q -12000 = 0
⇒ q( q + 150) - 80( q + 150) = 0
⇒ (q -80) ( q + 150) = 0
⇒q = 80 ad q = -150
We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.
Therefore, the equilibrium quantity of the commodity is 80 units.
Thus, p = 70(80) = 5600 (in monetary units)
Therefore, equilibrium price of the commodity is 5600 (in monetary units).
To know more about equilibrium quantity and equilibrium price here
https://brainly.com/question/30357972
#SPJ4
can someone help me PLEASE BE CORRECT
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 11, with tick marks every one unit up to 25. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 20 on the number line. A line in the box is at 19. The lines outside the box end at 12 and 24.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 12.
The IQR is the best measure of variability, and it equals 12.
The range is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 3.
The appropriate measure of variability for the data in the box plot is the interquartile range (IQR), which is a measure of the spread of the middle 50% of the data.
From the box plot, we can see that the lower quartile (Q1) is located at 17, the upper quartile (Q3) is located at 20, and the median is located at 19. The IQR can be calculated as the difference between the upper and lower quartiles:
IQR = Q3 - Q1 = 20 - 17 = 3
Therefore, the IQR is 3 and it is the best measure of variability for the given data. The range, which is the difference between the maximum and minimum values (24 - 12 = 12), is not the best measure of variability in this case because it is affected by extreme values that may not be representative of the typical spread of the data.
To learn more about variability here:
https://brainly.com/question/31636027
#SPJ1
Help it’s math it a picture
Answer:the first one
Step-by-step explanation:
write a function that models the total amount of money Julia has after x weeks use x
The function that models the total amount of money Julia has after x weeks is f(x) = 27x + 254
How to solve an equation?An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.
Let f(x) represent the total amount of money Julia has after x weeks.
Julia has $254 and saves $27 each week, hence:
f(x) = 27x + 254
The function is f(x) = 27x + 254
Find more on equation at: https://brainly.com/question/2972832
#SPJ1
Justin paid
$10. 47
for a
6. 08
-
kg
bag of dog food. A few weeks later, he paid
$13. 88
for a
7. 48
-
kg
bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the
6. 08
-
kg
bag:
$perkg
Unit price for the
7. 48
-
kg
bag:
$perkg
The better buy:The
6. 08
-
kg
bagThe
7. 48
-
kg
bagNeither (They have the same unit price)
The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.
The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.
⇒ For the first bag of dog food:
The Cost is = $10.47,
The Weight is = 6.08 kg,
So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,
⇒ For the second bag of dog food:
The Cost is = $13.88,
The Weight is = 7.48 kg,
So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,
Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.
Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.
Learn more about Unit Price here
https://brainly.com/question/29023044
#SPJ4
The given question is incomplete, the complete question is
Justin paid $10.47 for a 6.08-Kg bag of dog food. A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
If the temperature increases and the amount of water vapor in the air remains unchanged, how has the RH (relative humidity) changed?
When the temperature increases and the water vapor content in the air stays the same, the relative humidity decreases. This is because warmer air can hold more moisture than colder air, and therefore the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor that the air can hold decreases as the air temperature increases.
Relative humidity depends on two factors: the amount of water vapor present in the air and the maximum amount of water vapor that the air can hold at a given temperature. As the temperature rises, so does the amount of water vapor that the air can hold, since warm air has more energy to hold the water molecules in vapor form. This reduces the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor the air can hold, resulting in lower relative humidity.
To learn more about Relative Humidity:
https://brainly.com/question/5369085
https://brainly.com/question/21494654