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Vesna [10]
3 years ago
10

The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distrib

ution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? (Ch10)
A. H0: m =7.5 and H1:m ? 7.5

B. H0: m <=7.5 and H1:m > 7.5

C. H0: m >=7.5 and H1:m < 7.5

D. H0: m <7.5 and H1:m >=7.5

E. H0: m >7.5 and H1:m <= 7.5
Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

Answer: C . H_0:\mu\geq7.5 and H_a:\mu

Step-by-step explanation:

Definition:

Null hypothesis(H_0) is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and  '≥' signs.

Alternative hypothesis(H_a) is also a statement about the population parameter but against null hypothesis  . It contains '≠' , '<' and  '>' signs.

Let \mu be the average customer waiting time for the population.

Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.

Objective of test : After using new system ,  the average customer waiting time is at least 7.5 or less than 7.5.

Then, the null and alternative hypothesis for this scenario will be :

H_0:\mu\geq7.5

H_a:\mu

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Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

5 0
3 years ago
What’s the answer (no link I give brainly)
mixer [17]

Answer:

I belive it is C

Step-by-step explanation:

6 0
3 years ago
Use the FOIL Method to find (k+5)(k−1).
Elenna [48]

Answer:

(k+5)(k−1)=k2+4k−5

Step-by-step explanation

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3 years ago
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Please help me asap​
topjm [15]
To subtract fractions, we need an lcd( lowest common denominator)

8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction

to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)

to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)

these two numbers now have the same denominator so we subtract them

24/42 - 21/42 = 3/42 which simplifies to 1/14

9. since these fractions already have a common denominator, we will make them mixed fractions

-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7

-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7

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2 years ago
Please help Fr pleased I’m begging you
andreyandreev [35.5K]

Answer:

y = \frac{3}{8}x - 2

Step-by-step explanation:

<u>The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.</u>

Slope intercept formula: y = mx + b

(m = slope)

(b = y intercept)

If the equation has a slope of m = \frac{3}{8}, then the slope-intercept form would be:

y = \frac{3}{8}x

If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:

y = mx - 2

<u>Putting both of these values into an equation would give option A:</u>

y = \frac{3}{8}x - 2

6 0
3 years ago
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