Answer:
a) With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.
b) The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.
c) [tex]\alpha =1-0.98=0.02[/tex]
Step-by-step explanation:
If np' and n(1-p') are higher than 5, a confidence interval for the proportion is calculated as:
[tex]p'-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }\leq p\leq p'+z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} }[/tex]
Where p' is the proportion of the sample, n is the size of the sample, p is the proportion of the population and [tex]z_{\alpha/2}[/tex] is the z-value that let a probability of [tex]\alpha/2[/tex] on the right tail.
Then, a 98% confidence interval for the percentage of all males who identify themselves as the primary grocery shopper can be calculated replacing p' by 0.52, n by 2400, [tex]\alpha[/tex] by 0.02 and [tex]z_{\alpha/2}[/tex] by 2.33
Where p' and [tex]\alpha[/tex] are calculated as:
[tex]p' = \frac{1248}{2400}=0.52\\\alpha =1-0.98=0.02[/tex]
So, replacing the values we get:
[tex]0.52-2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\leq p\leq 0.52+2.33\sqrt{\frac{0.52(1-0.52)}{2400} }\\0.52-0.0238\leq p\leq 0.52+0.0238\\0.4962\leq p\leq 0.5438[/tex]
With a confidence level of 98%, the percentage of all males who identify themselves as the primary grocery shopper are between 0.4962 and 0.5438.
The lower limit of the confidence interval is higher that 0.43, so if he conduct a hypothesis test, he will find that the data shows evidence to said that the fraction is higher than 43%.
Finally, the level of significance is the probability to reject the null hypothesis given that the null hypothesis is true. It is also the complement of the level of confidence. So, if we create a 98% confidence interval, the level of confidence [tex]1-\alpha[/tex] is equal to 98%
It means the the level of significance [tex]\alpha[/tex] is:
[tex]\alpha =1-0.98=0.02[/tex]
What is k in terms of n?
Answer:
i think its newton.
Step-by-step explanation:
During a solar eclipse, what is causing the earth’s view of the sun to be darkened?
Best answer gets brainliest.
Answer:
the moon blocks light from the sun by coming between the earth and the sun
The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what's is its wavelength.
PLZZ HELP PLZZ ill give thanks n more :(
Wave length = speed / frequency
Wave length = 3x10^8 / 4.11x10^4
Wave length = 7.299x10^3nm
) listen
4. Ming's vegetable garden has the shape shown
below. What is the area of the entire garden?
6 m
6
m
3 m
Answer: 108 meters
Step-by-step explanation:
Area = length x width x height
A = 6 x 6 x 3
Area = 108m
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D. Vertx: (3,-16); Intercepts: x = -1, 7
Step-by-step explanation:
I graphed the equation on the graph below.
Factor Polynomial
3y^2+y-14
Answer:
Factored Form: ( y - 2 )( 3y + 7 )
Step-by-step explanation:
1. Let us first write down the problem at hand: 3y^2 + y - 14
2. Now let us break this expression into groups:
3y^2 - 6y + 7y - 14 ⇒ ( 3y^2 - 6y )( 7y - 14 )
3. Factor 3y from 3y^2 - 6y:
3y^2 - 6y ⇒ 3y( y - 2 )
4. Factor 7 from 7y - 14:
7y - 14 ⇒ 7( y - 2 )
5. Substitute Step #3, 4 ⇒ Step #2:
3y( y - 2 ) + 7( y - 2 )
6. Factor common term y - 2:
Answer: ( y - 2 )( 3y + 7 )
1. Calculate the product of 8/15, 6/5, and 1/3.
A. 48/30
B. 16/75
C. 16/15
D. 48/15
Answer:
B. 16/75
Step-by-step explanation:
If you multiply all the numberators nd add them together and all the denominators and add them together you should get that answer.
8*6*1=48
15*5*3=225
48/225
Simplifies to 16/75
Calculate the lateral area of the rectangular prism if the perimeter of the base is 48 units
Answer: It’s C just did assignment 288unitssquared
What steps should be used to find 55% of 300? Check
all that apply.
ger
Answer:
100x3=100 55x3=the answer 55x3=165 students 165 6th graders have a younger sibling.
Step-by-step explanation:
i did the assignment
55 percent of 300 is equal to 165.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
55% of 300
55% can be written as fraction 55/100
= (55/100) × 300
Dividing 300 by 100
= 55 × 3
Multiplying
= 165
Hence, 165 is 55 percent of 300.
Learn more about percentage here:
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Triangle R S T is shown. The length of R S is 9, the length of S T is 8, and the length of R T is s. Angle R S T is 111 degrees. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of s to the nearest whole number? 10 12 13 14
Answer:
bro I think its 14
Step-by-step explanation:
si paps
The length of RT is 14 cm. Therefore, option D is the correct answer.
Given that, RS=9, ST=8, RT=s and ∠RST=111°.
How do you solve cosine rules?The cosine formula to find the side of the triangle is given by: c = √[a²+ b²– 2ab cos C] Where a,b and c are the sides of the triangle.
Here, given a²= b²+ c²– 2bc cos A.
s²= 9²+ 8²– 2×9×8 cos111°
⇒s²=81+64+51.552
⇒s²=197.552
⇒s=14.05≈14 cm
Therefore, option D is the correct answer.
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The slope of the line between the points (3,-1) and (5, 1) is
Answer:
y = 0x + 1
When x=0, y = 1
Step-by-step explanation:
I need the answer ASAP giving 20 points!
Answer: a makes the most sense
Step-by-step explanation:
Find the surface area of the polyhedron below. The area of each base is 65 cm^2
Answer:
D. 290 square cm
Step-by-step explanation:
Surface area of polyhedron
[tex]= 2 \times 65 + 7 \times 8 + 4 \times 8 + 3 \times 8 + 3(2 \times 8) \\ = 130 + 56 + 32 + 24 + 48 \\ = 290 \: {cm}^{2} [/tex]
Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A
Answer:
Step-by-step explanation:
the radius of 2 spheres are 4 and 12. find the scale factor of the surface areas
Answer:
~ Surface Area 1 = 9 * Surface Area 2 ~
Step-by-step explanation:
Let us look through this problem step by step;
1. The formula to determine the surface area of a sphere is 4πr^2
2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other
3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.
4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)
The perimeter of a rectangle is 42feet. The length decreased by 3times the width is 1foot . What are the dimensions of the rectangle? (what is the length and width)
Answer: Length is 16 ft. Width is 5 feet.
Step-by-step explanation: Take the information given and write an equation. "Length decreased by 3 is 1" becomes L - 3w = 1 .
"Solve" for L. L= 3w +1
Write another equation for the formula of a perimeter. P=2L + 2w.
Substitute the values for L (from the first "solution" you wrote) and P (42 ft, given).
42 = 2(3w +1) + 2w. Solve this.
42= 6w +2 + 2w
42= 8w +2. Subtract 2 from both sides then divide both sides by 8.
W = 5
Substitute that into the first equation you wrote to get the Length.
L - 3(5) = 1
L -15 = 1. L = 1+15
L = 16
Solving One Step Equations:
z - 2.3 = 0.46
Answer:
z =2.76
Step-by-step explanation:
z - 2.3 = 0.46
Add 2.3 to each side
z - 2.3+2.3 = 0.46+2.3
z =2.76
The box plot show the weights, in pounds, of the dogs in two different animal shelters.
Which correctly compares the ranges of the data?
• The range shelter A in 11, and the range in shelter B is 4.
• The range in shelter A is 20, and the range in shelter B is 10.
• The range in shelter A is 13, and the range in shelter B is 8.
• The range in shelter A is 22, and the range in shelter B is 18.
Answer:
The range in shelter A is 22, and the range in shelter B is 18.
Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.
Answer:
The range in shelter A is 22, and the range in shelter B is 18.
Subtract 8 from 30 shelter A which gives you 22. Then subtract 10 from 28 which gives you 18 for Shelter B.
Step-by-step explanation:
What is the surface area of the triangular prism?
Triangular prism
a
152 square feet
b
172 square feet
c
252 square feet
d
264 square feet
Answer:
Option c. 252 square feet
Step-by-step explanation:
This question does not have figure, please find the figure attached below.
Area of the triangular sides = [tex]2(\frac{1}{2}\times bh)[/tex]
= [tex]2(\frac{1}{2}\times 3\times 4)[/tex]
= 2(6)
= 12 feet²
Area of the rectangular base = A = b × h
= 20 × 3
= 60 feet²
Area of the lateral side = 20 × 5
= 100 feet²
Area of the vertical rectangular side = 20 × 4
= 80 feet²
Total surface area = 12 + 60 + 100 + 80
= 252 feet²
Total surface area of the triangular prism is 252 square feet.
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes. Based upon the above information and numerically justified, would you be surprised if it took less than one minute to find a parking space?
a. Yes
b. No
c. Unable to determine.
Answer:
a. Yes
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the absolute value of the z-score is 2 or larger, X is considered a surprising outcome.
In this question:
[tex]\mu = 7, \sigma = 3[/tex]
Would you be surprised if it took less than one minute to find a parking space?
We have to find the z-score when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 7}{3}[/tex]
[tex]Z = -2[/tex]
Since Z = -2, the correct answer is:
a. Yes
A bag contains 10 red marbles and 5 blue marbles. What is the probability of choosing 2 red marbles without replacing the first?
Answer:
i think 5 percent but dont trust me xDDD
Step-by-step explanation:
What is 3/4 - 1/2
Please help
Answer:
1/4
Step-by-step explanation:
1/2 is also equal to 2/4 since 2 is half of 4 so 3/4 minus 2/4 will get you 1/4
Please give brainliest :3
Answer:
1/4
Step-by-step explanation:
3/4 - 1/2
Get a common denominator
3/4 -1/2*2/2
3/4 - 2/4
1/4
A coin is tossed and a fourth section spinner is spun once a tree diagram shows the possible outcomes for the two events what is the probability of flipping tails on a coin and spinning a two on the spinner
Answer:
2/6 or 1/3 I think
Step-by-step explanation:
you have a 1 out of 2 chances to land tails and 1 out of 4 chance to role a 2 on the spinner. so in total there is 6 chances for rolling and flipping the coin. and there is only 1 chance for both in the odds.
therefore I believe that its is 1/3 or 2/6. I do not know if I am right exactly but that is my thought process.
-7 2/3 +(-5 I/2) + 8 3/4=
Answer:-53/12
Step-by-step explanation:
-7 2/3+(-5 1/2)+8 3/4
-7 2/3-5 1/2+8 3/4
-23/3 - 11/2 + 35/4
(4x-23 - 6x11 + 3x35)/12
(-92-66+105)/12=-53/12
To study the effects of an advertising campaign at a supply chain, several stores are randomly selected with the following observed before‐ and after‐advertising monthly sales revenues: Store number 1 2 3 4 5 Old sales revenue (mil. $) 6.5 4.8 7.9 6.2 7.1 New sales revenue (mil. $) 7.5 6.3 7.1 7.8 8.9 Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month. (a)[7] At α = 0.05, test H₀: μ₂ ≤ μ₁ versus H₁: μ₂ > μ₁. Sketch the test. Interpret your result. (b)[3] Sketch and find the p‐value of the test. Would you reject H₀ if α = 0.01? Hint: Use 5 decimals. Refer to some Excel lookups: αv 0.990 0.990 0.950 0.950
Answer:
Check the explanation
Step-by-step explanation:
Part a
H0: µ2≤µ1 versus H1: µ2>µ1
(Upper tailed test)
WE will consider differences as (New – Old).
From given data, we have
Dbar = 0.70
SD = 0.70
n = 5
Degrees of freedom = df = n – 1 = 5 – 1 = 4
Test statistic = t = (Dbar - µd) /[SD/sqrt(n)]
t = (0.70 – 0)/[0.70/sqrt(5)]
t = 0.70/ 0.3130
t = 2.2361
Critical value = 2.1318
(by using t-table)
P-value = 0.0445
(by using t-table)
P-value < α = 0.05
So, we reject the null hypothesis
There is sufficient evidence to conclude that the average monthly sales revenue increases after the advertising.
Kindly check the first attached image for the graphical table.
Part b
P-value = 0.0445
α = 0.01
P-value > α = 0.01
So, we do not reject the null hypothesis
There is insufficient evidence to conclude that the average monthly sales revenue increases after the advertising.
Kindly check the second attached image for the graphical table.
What is the meaning of life
Answer:
The answer of life is 42 just look it up
What is the area of the kite? 20 36 40 80
Answer:
44
Step-by-step explanation:
20+36+40+80= 176
176/4= 44
The perimeter of a square is 32cm? What is the length of each side?
the answer is 8 because there is 4 sides on a square and 8 x 4 is 32.
Please what is the length of AC? Please 1 day no answer.
Answer: AC = 2.33
Step-by-step explanation:
use tangent to find the missing side
Tangent = opposite/adjacent
tan B = ?/5
tan 25 = ?/5
multiply each side by 5
? = 2.33153829.....
so
AC = 2.33
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12. Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28. Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Due to the higher z-score, Cade should be offered the job.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Whoever had the higher z-score.
Reyna:
Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.
This means that [tex]X = 75.3, \mu = 69.3, \sigma = 12[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75.3 - 69.3}{12}[/tex]
[tex]Z = 0.5[/tex]
Kaitlyn:
Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.
This means that [tex]X = 228.4, \mu = 206, \sigma = 28[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{228.4 - 206}{28}[/tex]
[tex]Z = 0.8[/tex]
Cade:
Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that [tex]X = 7.88, \mu = 7.2, \sigma = 0.4[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.88 - 7.2}{0.4}[/tex]
[tex]Z = 1.7[/tex]
Due to the higher z-score, Cade should be offered the job.
