Answer:
[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]
[tex]p_v =P(z<-3.137)=0.0009[/tex]
Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%
Step-by-step explanation:
Data given
n=6997 represent the random sample taken
X=1296 represent the returned surveys
[tex]\hat p=\frac{1296}{6997}=0.185[/tex] estimated proportion of returned surveys
[tex]p_o=0.2[/tex] is the value that we want to test
z would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p value (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to test the claim that the true proportion of returned surveys is less than 0.2.:
Null hypothesis:[tex]p\geq 0.2[/tex]
Alternative hypothesis:[tex]p < 0.2[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Calculate the statistic
Since we have all the info required we can replace in formula (1) like this:
[tex]z=\frac{0.185 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6997}}}=-3.137[/tex]
Statistical decision
The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
[tex]p_v =P(z<-3.137)=0.0009[/tex]
Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%
We formulate a null and alternative hypothesis about the survey return rate. Then, given the returned survey and total survey counts, we calculate a sample proportion, standard deviation, and a z-score. Using this z-score, we compute a p-value, which is checked against the given significance level to make a decision about the hypothesis.
Explanation:In this scenario, we are interested in whether the cell phone survey return rate is less than 20%. So we can set our null hypothesis (H0) as: The return rate is 20% or more, and our alternative hypothesis (Ha) as: The return rate is less than 20%.
Given that 12961296 surveys were returned out of 6997, we can compute the sample proportion (p). Then, we calculate the standard deviation (sd) of the sampling distribution of the proportion (assuming H0 is true - i.e., the proportion in the population is 20%).
Using this sd and the sample proportion, we can calculate the z-score. The p-value would be the probability of getting a z-score as extreme as what we got, assuming H0 is true. If the p-value is less than the significance level (0.01), we would reject the null hypothesis. If it's higher, we fail to reject the null.
Note: Due to the likely typographical error in the given number of returned surveys, the precise computation cannot be done here.
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After a 10% discount, the price of a T-shirt is $27. What did as the original price?
Answer:
The original price was $30
Step-by-step explanation:
Answer:
According to my calculations, the original price was $30.
Madison wants to buy a new lunch box. One measure 20cm x 18cm x 9cm. Another one measures 18cm x 18cm x 10cm. Which would hold more?
Answer:
Neither, they both carry the same amount.
Step-by-step explanation:
We can solve this from just comparing the volumes of both boxes.
20 x 18 x 9 = 3240
18 x 18 x 10 = 3240
Both have the same volume, so they could carry the same amount.
Hope this helped! :)
Vanessa measured 1 2/3 quarts of cherries and 1/3 quart of peaches. How many pints of fruit did Vanessa measure altogether?
Answer:
4 pints
Step-by-step explanation:
All we need to do is convert the amount of each fruit from quarts to pints and then add them up.
For Cherries:
She measured [tex]1\frac{2}{3}[/tex] quarts.
1 quart = 2 pints
=> [tex]1\frac{2}{3}[/tex] quarts = [tex]1 \frac{2}{3} * 2 = \frac{5}{3} * 2 = \frac{10}{3}[/tex] pints
For Peaches:
She measured [tex]\frac{1}{3}[/tex] quarts.
=> [tex]\frac{1}{3}[/tex] quarts = [tex]\frac{1}{3} * 2 = \frac{2}{3}[/tex] pints
Hence, the amount of fruits she measures altogether, in pints, is:
[tex]\frac{10}{3} + \frac{2}{3} = \frac{12}{3} = 4[/tex]
She measured 4 pints of fruit altogether.
Factor: −22d³+33d²+33
Answer:
-2d^3 +3d^2 +3
Step-by-step explanation:
The biggest number you can take out of each term would be 11, so you divide each term individually by 11.
-22/11= -2
33/11=3
33/11=3
Then you keep the variables the same because you don't have a d in every term, therefore you cannot remove a d.
which must be true in order for the relationship triangle ZYX to be congruent to triangle WVU to be correct
Answer:
last option
Step-by-step explanation:
at least two respective angle have same measure
Answer:
It is the last one
Step-by-step explanation:
edg 2021
Sue wants to increase 160 by 4%
She writes down
160 x 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4, write down
what she should have multiplied by
Bill wants to decrease 160 by 6%
b) Complete the statement below to show how Bill can decrease 160 by 6%
Instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
So, firstly, Sue wanted to increase 160 by 4%
Increased value = 160 + 4% of 160
Now, 4% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 4 = 160 \times 0.04[/tex]
Thus, we get:
[tex]\text{Increased value} = 160 + 160 \times 0.04 = 160(1 + 0.04) = 160 \times 1.04[/tex]
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04
Now, Bill wants to decrease 160 by 6%
Decreased value = 160 - 6% of 160
Now, 6% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 6 = 160 \times 0.06[/tex]
Thus, we get:
[tex]\text{Decreased value} = 160 - 160 \times 0.06 = 160(1 - 0.06) = 160 \times 0.94[/tex]
Thus, Bill can decrease 160 by 6% by multiplying 160 by 0.94
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
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The correct multiplier Sue should have used is 1.04 to increase 160 by 4%. To decrease 160 by 6%, Bill should use the multiplier 0.94.
a)She incorrectly multiplied 160 by 1.4. The correct multiplier should be 1.04.
To increase a number by a percentage, you first find the decimal equivalent of the percentage.
For 4%, it is 0.04.
Add this decimal to 1.
(1 + 0.04 = 1.04).
Now, multiply the original number (160) by 1.04.
Therefore, 160 x 1.04
= 166.4.
b) Bill wants to decrease 160 by 6%. To find the correct multiplier,
First, find the decimal equivalent of 6%, which is 0.06.
To decrease a number by this percentage, subtract the decimal from 1.
(1 - 0.06 = 0.94).
Now, multiply the original number (160) by 0.94.
Therefore, 160 x 0.94
= 150.4.
Find the measures of the numbered angles in the kite? (image below please help)
answer
1, 2, 3, 4 = 90 degrees
5 = 41 degrees
6 = 39 degrees
7, 9 = 51 degrees
8, 10 = 49 degrees
step-by-step explanation
since this is a kite, the lengths p and q (the diagonals of the kite) are perpendicular to each other, so angles 1, 2, 3, and 4 are all 90 degrees
to find angle 5, we know that the kite is symmetric across the horizontal diagonal, so angle 5 would be the same as 41 degrees
to find angle 6, we also look at symmetry, so angle 6 is the same of 39 degrees
to find angle 7, all three angles in a triangle, bottom left, must add up to 180. since we know angle 3 = 90 and angle 6 = 39, angle 7 = 180 - 90 - 39 = 51 degrees
because of symmetry, angle 9 would be equal to angle 7 = 51 degrees
to find angle 8, all three angles in a triangle, bottom right, must add up to 180. since we know angle 4 = 90 and angle 5 = 41, angle 8 = 180 - 90 - 41 = 49
because of symmetry, angle 10 would be equal to angle 8 = 49
PLEASE HELP IM CRYING RN PLEASE ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST AND 100 POINTS
which is a rule that describes the translation of a point from (-5,4) to (-1,2)
A. (x,y)->(x-4,y-2)
B. (x,y)->(x+4,y-2)
C. (x,y)->(x+4,y+2
D. (x,y)->(x-4,y+2)
Answer: B (x,y) --> (x + 4, y - 2)
Step-by-step explanation: When you add -5+4=-1, and when you subtract 2 from 4 it equals to 2, which gives you the second coordinates, this means that x+4 and y-2 is the answer.
Lucy needs to hire a host. Host A is offering his services for an initial $45 in addition to $16.25 per hour.
Hostess B is offering her services for an initial $51 in addition to $13.50 per hour. When will the two hosts
charge the same amount of money? If necessary, round your answer to the nearest tenth.
At approximately
hours, both hosts will charge about the same amount.
Alright!
To start this problem, we need to come up with equations that represent both of the Hosts' services
Key equation:
y = mx + b
x = the # of hours
Host A:
An initial $45 means this will be our constant
$16.25 per hour means it needs the variable x
Host A equation: y = 16.25x + 45
Host B:
An initial $51 means this will be our constant
$13.50 per hourmeans it needs the varible x
Host B equation : y = 13.50x + 51
To find the approximate number of hours (x) when both hosts charge the same amout, we must set their equations equal to each other.
16.25x + 45 = 13.50x + 51
Now, Solve!
16.25x = 13.50x + 51 - 45
16.25x = 13.50x + 6
16.25x - 13.50x = 6
2..75x = 6
now divide to find x!
x = 6 ÷ 2.75
x = 2.18
but we must round to the nearest tenth, so your final answer is
x = 2.2 hours!
Hope I helped! Comment if you have any questions about my solution :)
Which pyramid has a greater volume and how much greater is its volume?
The volume of the pyramid on the left is greater by 8in 3
The volume of the pyramid on the left is greater by 24 in.
The volume of the pyramid on the right is greater by 8 in 3.
The volume of the pyramid on the right is greater by 24 in.
Answer:
The volume of the pyramid on the left is greater by 8 inches.
The volume of the pyramid on the left is greater by 8 inches.
The answer is option A.
What is a pyramid called in math?If the base of the pyramid is in the shape of a pentagon (base with 5 sides), then it is called a pentagonal pyramid. As the pentagon has 5 sides, then the pentagonal pyramid has the following properties: No. of Faces: (5+1)=6. No.of Vertices: (5+1)=6.
What is the example of a pyramid?The pyramids of Giza, Egypt form the most common example of the three-dimensional pyramid geometric shape in real life. The Great Pyramid of Giza is one of the oldest and largest pyramids present in the world.
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what is the correct method to label a line with point U and W on it
Answer:
The answer is B.
Step-by-step explanation:
What is 17n when n = 0
Answer:
0
Step-by-step explanation:
anything multiplied by zero is zero
Answer:
0
Step-by-step explanation:
17n
= 17(0)
= 0
When you multiply a number by zero, your answer is always going to be zero.
Hope this helps:)
How much would $200 invested at 4% interest compounded continuously be worth after 8 years
Answer: 264
Step-by-step explanation:
What is the y-intercept of the line given by the equation y = 8x + 75?
А. (0, -8)
В. (0, 75)
с. (0, -75)
D. (0, 8)
Answer: (0, 75)
Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept of the line.
In this equation, we can see that the y-intercept is 75 but it's important to understand that the y-intercept is a coordinate point so I like to always write it as a coordinate point where the x value is going to be 0 and your b value is going to be your value on the y-axis. So we can write this as (0, 75).
What is the value of n in the equation 7n+32=54+6
Which is an equation of the line that passes through the
point (5,-2) and has a slope of -3?
Slope intercept form: y = mx + b
We know the slope, so we need to use the given point in the generic slope intercept form and solve for b.
y = -3x + b
-2 = -3(5) + b
-2 = -15 + b
b = 13
y = -3x + 13
Hope this helps!! :)
Hazel's town voted on a new speed limit. 10% of the 70 voted were in favor of the new speed limit. How many votes were not in favor?
Answer:
63 votes
Step-by-step explanation:
10% of 70 is 7
70-7=63
Answer:
6 or 7 votes
Step-by-step explanation:
Factor completely.
28 - 7x^2
Answer:
7 (2 + x ) ( 2 − x )
Miguel, Sterling, and Kevin plan to split the cost of a round-trip car ride from
Los Angeles, California, to El Paso, Texas, equally. The total cost of the trip
from Los Angeles to El Paso was $1136.79, and they expect that the trip back
to will cost the same. How much will Kevin have to pay for the round-trip?
©
__
A. $505.21
B. $757.86
c. $82452
D. $623.54
O
Kevin has to pay $757.86 for the round trip.
A cost function is a mathematical formula used to chart how production expenses will change at different output levels.
How find how much will Kevin have to pay for the round-trip?
Given Miguel, Sterling, and Kevin plan to split the cost of a round-trip car ride from Los Angeles, California, to El Paso, Texas, equally. The total cost of the trip from Los Angeles to El Paso was $1136.79, and they expect that the trip back will cost the same.
It’s B because 1136.79 x 2 is 2273.58.
2273.58/3 because there are three people splitting the ticket is 757.86.
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed. A sphere with height h and radius r. A cylinder with height h and radius r. Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi) PLEASE HELLLLP
Answer:
C
Step-by-step explanation:
its not A for sure B and D dont make sense
Answer:
C
Step-by-step explanation:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
It cannot be a fraction or decimal because the depth of the well is a whole number.
It must be a positive number since it represents a number of hours.
It must be a negative number because the depth is below sea level.
It cannot be greater than –72 because that is the depth of the well.
Answer:
Option B is correct
It must be a positive number since it represents a number of hours.
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
__________________________________________________________
Given the equation as:
Using distributive property,
Combine like terms;
Subtract 40 from both sides we have;
Divide both sides by -8 we have;
h = 14 hours
__________________________________________________________
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
The statement true about Pieter's solution is that b. It must be a positive number since it represents a number of hours.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given is an equation,
7h – 5(3h – 8) = –72
where h is the number of hours taken to dig a well to a level of 72 feet below sea level.
The solution of the given equation will give the value f h, which is the number of hours taken to dig the well to a depth of 72 feet.
We know that, time can never be a negative number. So the value of h must be positive.
So the correct option is It must be a positive number since it represents a number of hours.
Solution is,
7h – 5(3h – 8) = –72
7h - 15h + 40 = -72
-8h = -112
h = 14 hours
Hence the correct option is b.
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8+24 divide (2x6) - 4
Final answer:
Using the order of operations, first calculate the value within the parentheses, perform the division, then proceed with the addition, and finally subtract to find that the solution to the expression 8+24 ÷ (2×6) - 4 is 6.
Explanation:
To address the problem 8+24 ÷ (2×6) - 4, the correct application of the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is required.
First, handle the expressions inside the parentheses:
Calculate the value within the parentheses: (2×6) equals 12.Perform the division: 24 ÷ 12 equals 2.Proceed with the addition: 8 + 2 equals 10.Finally, subtract 4 from the result: 10 - 4 equals 6.Therefore, the final answer to the expression is 6.
Which dot plot is symmetric? Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 3 dots, 1 has 6 dots, 2 has 8 dots, 3 has 8 dots, 4 has 6 dots, and 5 has 3 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 8 dots, 3 has 8 dots, 4 has 2 dots, 5 has 4 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 8 dots, 1 has 7 dots, 2 has 6 dots, 3 has 5 dots, 4 has 4 dots, and 5 has 3 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 1 dot, 1 has 3 dots, 2 has 4 dots, 3 has 7 dots, 4 has 8 dots, 5 has 5 dots.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the volume of the following rectangular prism?
4 units
Volume =
I units
Answer:
sorry i dont quite understand, were you given more information
Step-by-step explanation:
The required volume of the rectangular prism is unknown and cannot be determined based on the given information.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of a rectangular prism is given by the formula:
Volume = length x width x height
In this case, we are given that the length and width of the rectangular prism are 4 units, but we don't have any information about the height. So, we cannot determine the volume of the rectangular prism without knowing its height.
Therefore, the volume of the rectangular prism is unknown and cannot be determined based on the given information.
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Examine the diagram. It is not drawn to scale. A triangle has angles A, B, 80 degrees. The exterior angle to angle A is 150 degrees. Choose the statements that are true based on the diagram. ∠A is supplementary to the exterior angle. ∠A and the 80° angle are remote interior angles. 80° + m∠B + 150° = 360°. ∠B measures 70°. ∠A measures 40°.
Answer:
∠A is supplementary to the exterior angle and ∠B measures 70°
Step-by-step explanation:I just answered this question and got it right.
The answer is A and D.
- got it right on edge
- have a good day :)
A female dust mite is 0.42 millimeter long. How do u write this measurement in scientific notation
Final answer:
The length of the female dust mite, 0.42 millimeters, is written in scientific notation as 4.2 × 10[tex]10^{-1}[/tex]millimeters.
Explanation:
To write the measurement of a female dust mite, which is 0.42 millimeter long, in scientific notation, we first identify the most significant digit and the decimal point. In scientific notation, numbers are typically written in the form of a single digit from 1 to 9, followed by a decimal point and the remaining significant digits, and then multiplied by 10 raised to the appropriate exponent.
The number 0.42 can be written as 4.2 times 10 to the power of negative one (because the decimal point has been moved one place to the right to place it after the first non-zero digit, 4).
So, in scientific notation, the length of a female dust mite is 4.2 × [tex]10^{-1}[/tex] millimeters.
Alvin has a prism-like water tank whose base area is 0.90 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most?
Answer:
2 fish
Step-by-step explanation:
66 hundreds divided by 10 =
Answer:
660
Step-by-step explanation:
66x100=6600
Divide 6600 by 10
=660
solve the system of equations
12x-5y=-20
y=x+4
x=_______
y=_______
Answer:
x = 0
y = 4
Step-by-step explanation:
Given
12x - 5y = -20
y = x + 4
Substitute x + 4 for y in the first equation
12x - 5(x + 4) = -20
Expand the bracket
12x -5 X x - 5 x 4 = -20
12x - 5x - 20 = -20
7x - 20 = -20
Add 20 to both sides to eliminate -20 on the left side
7x - 20 + 20 = -20 + 20
7x = 0
Divide both sides by 7 to isolate x
7x/7 = 0/7
x = 0
Substitute 0 for x in either equation to get y
Using equation 2, we have
y = x + 4
= 0 + 4
= 4
x = 0
y = 4
a rubber ball is dropped on a hard surface takes a sequence of bounces, each one 3/5 as high as the preceeding one. If this ball is dropped at 10 feet, what is the total vertical distance it has traveled at the time when it hits the surface for the fifth time?
Answer:
StepThe answer is 36 14/125 feet
-by-step explanation:
Final answer:
The total vertical distance the ball has traveled when it hits the surface for the fifth time is 38 feet.
Explanation:
To find the total vertical distance the ball has traveled when it hits the surface for the fifth time, we need to analyze the sequence of bounces. Each bounce is 3/5 as high as the preceding one, meaning the height decreases by a factor of 3/5 each time.
If the starting height is 10 feet, the first bounce will reach a height of 10 * (3/5) = 6 feet. The second bounce will reach a height of 6 * (3/5) = 3.6 feet, and so on.
To find the total distance, we need to sum up the heights of all the bounces. This can be calculated using the formula for the sum of a geometric series:
Sum = a * (1 - r^n) / (1 - r), where a is the initial term, r is the common ratio, and n is the number of terms.
In this case, a = 10, r = 3/5, and n = 5. Plugging in the values into the formula, we get:
Sum = 10 * (1 - (3/5)^5) / (1 - 3/5) = 10 * (1 - 243/625) / (2/5) = 10 * (382/625) / (2/5) = 10 * (382/625) * (5/2) = 191 * 5 / 25 = 38 feet.