Mathematics College

Julie manages a franchise restaurant and is analyzing the tips left at her location. From corporate informational material, she knows the overall
population mean is $6.85 with a standard deviation of $1.25. Julie has a sample of 180 tips for her franchise. By the central limit theorem, which
interval can Julie be 95% certain that the sample mean will fall within?
OA. $6.76 and $6.94
O B. $6.57 and $7.13
OC. $6.66 and $7.04
OD. $6.83 and $6.87

Julie Manages A Franchise Restaurant And Is Analyzing The Tips Left At Her Location. From Corporate Informational

Answers

Answer 1

Answer:

$6.66 and $7.04

Step-by-step explanation:

I got it right

Answer 2

The $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

From the central limit theorem:

σ(x) = σ/√n

The standard deviation σ = $1.25

The sample n = 180

σ(x) = 1.25/√180

σ(x) = 1.25/√1801

σ(x) = 0.0931

The lower limit = 6.85 - 0.0931 = 6.756 = 6.76

The upper limit = 6.85 - 0.0931 = 6.943 = 6.94

Thus, the $6.76 and $6.94 is the interval Julie can be 95% certain that the sample means will fall within option (A) is correct.

Learn more about the standard deviation here:

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Related Questions

What is the area of a circular region whose
diameter is 12 centimeters?

Answers

Answer:

A circle of radius = 12 or diameter = 24 or circumference = 75.4 cm has an area of: 4.524 × 10-8 square kilometers (km²)

The area of the circular region will be 113 square centimeters.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The formula to calculate the area of the circle is given by:-

A = πr²

Given that the diameter of the circular region is 12 centimeters. The radius will be half of the diameter.

r = d / 2

r = 12 / 2 = 6

The area of the region will be calculated as below:-

A = πr²

A = π x ( 6 ) x ( 6 )

A = 113.09 square centimeters

Therefore, the area of the circular region will be 113 square centimeters.

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What should substitution should've ended used to rewrite x^8-3x^4+2=0 as a quadratic equation

Answers

Step-by-step explanation:

is the answer something like x^12=-2

please help me find the missing side !

Answers

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]

If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

Tell whether the angles are adjacent or vertical. Then find the value of x

Answers

Answer:

this is the answer

Step-by-step explanation:

hope this will help you

The angles are adjacent and complementary.

Complementary means they add up to 90 degrees.

3x + 45 = 90

3x = 90 - 55

3x = 45

x = 45/3

x = 15

The value of x is 15 degrees.

A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter

Answers

See photo. Hope this helps

what shape can be formed from the following net?​

Answers

a pyramid can be formed

Jaleah needs some string to make bracelets. She needs
enough string to make 32 bracelets. Each bracelet takes 9 3/4
inches of string. How much string will Jaleah need to make
the bracelets?

Answers

Answer:

312

Step-by-step explanation:

3/4 × 32 = 24

9 × 32 = 288

288 +24=312

Olivia has 1/2 pound of raisins. She plans to eat them for snacks over the next 6 days. If she eats the same amount each day, What fraction of a pound of raisins will she eat each day

Answers

Answer :

1/12

Step by step :

Pounds of raisins : 1/2 = 0.5

Number of days : 6

Pounds of raisins she will eat every day :

0.5 ÷ 6 = 0.83333... = 1/12

(a) 3.2% of 360 (b) 2.7% of 90 (c) 12.8% of 240 (d) 0.8% of 450 (e) 0.5% of 500 (f) 0.25% of 320

Answers

Answer:

listen i would do this for u bit i gtg so what u can do is:

Step-by-step explanation:

time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them

change percentages to decimals
a) 0.032 x 360=11.52
b) 0.027 x 90= 2.43
c) 0.128 x 240= 30.72
d) 0.008 x 450= 3.6
e) 0.005 x 500= 2.5
f) 0.0025 x 320= 0.8

Hey umm how do you make your stressed mom feel better?

Answers

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

Which equation has no solution?

Answers

D is the one that has no solution

What are the answers to the puzzle?

Answers

Answer:

1) 25°

2) 155°

3) 25°

4) 25°

5) 110°

6) 30.5°

7) 41°

Step-by-step explanation:

5) 5x + 15 = 8x - 42,  3x = 57,   x= 19, ∠CDE = 5(19) + 15 = 110°

6) 3x + x + 4 + 70° = 180°,  4x = 106°, x = 26.5°, ∠ABC = 26.5° + 4° = 30.5°

7) 2x + x + 4 + 65° = 180°, 3x = 111°, x = 37°, ∠MNO = 37° + 4° = 41°

Helppppppppppppppppppppp

Answers

C hope that helps because if you look at your answers and compare your question to that there u go

What is 8/9ths of 4?

Answers

8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.

Answer:

8/36

Step-by-step explanation:

I divided  8/9 by 4

x+3= -10 what is x in the equation

Answers

X=-13 hope this helps

Which expression is equivalent to the expression below?
g + g+g+g+g+g

Answers

Answer:

6 x g

Step-by-step explanation:

Answer:

[tex]g^{6}[/tex]

Step-by-step explanation:

Given two points on a line (2, 5) and (6, 11), what is the rate of change?

Answers

Answer:

1.5

Step-by-step explanation:

I Question 7 (2 of 13)
Find area of shaded region. Round to the nearest tenth.
50 cm
radius: 20 cm
80 cm
Enter your answer by clicking the bubbles.

Answers

Method:
Area of trapezium - Area of a half circle

Trapezium = 40(50+80) divided by 2

= 2600

Half circle = 1/2 x pi x 20^2

= 628.3185....
~ 628.3

2600 - 628.3 = 1971.7 cm^2

Hope this helps!!



No solution is the answer when both lines have the same slope with a different y-
intercept.
o True
o False

Answers

When lines have the same slope and different y-intercepts they are parallel lines. Parallel lines never intercept. Because these lines never intercept, they have no solution. Since they have no solution they are not consistent, dependent or independent like the last two systems we looked at.

At the Demarest Mountain ski slope lounge, they serve hot cocoa. A serving of
hot cocoa uses 1 and a half tablespoons of cocoa. The large jar holds 90
tablespoons of cocoa mix, but the jar is half empty. How many more servings of
Hot Cocoa can they give out?

Answers

Answer: 30 more servings

Explanation:
They had 90 tablespoons, but half are gone. 90/2 = 45

Each serving is 1.5 tablespoons.

45/1.5 = 30 more servings
The answer is 30 more servings

Help me plzzzzzzzzzzzzzzpzzzzzzz

Answers

6ft for height and 4ft for base

A triangle has an area of 36 square feet. The height is 6 feet. What is the length of the base (in feet)?

Answers

Answer:

Answer · 6 votes

$b = 6 $ \ $ h =12$

First person to answer this gets BRAINLIEST!
(Look at the photo for the question)

Answers

Answer:

7 square miles

Step-by-step explanation:

Answer:

I think its the right shape being the trapezoid

Step-by-step explanation:

the triangle looks like a triangle but then the reason why I said I think it's the on the right is because the acute angle makes it look like a trapezoid but then on the other side it has a right angle but I think its the right side.

what is 2/3=????????​

Answers

Answer:

A. 4/6

Step-by-step explanation:

It's 4/6 because 4/6 is 2/3 just multiplied by 2.

Hope this helps. ; )

Answer:

2 divided by 3

Step-by-step explanation:

0.6 repeating

Answer and explain ILL MARK BRAINLIEST I DONT UNDERSTAND

Answers

First let's reduce the feet to miles

there are 5280 feet in a mile therefore

26400 feet=5 miles

31680 feet=6 miles

Jet A(the first jet) descends 5 miles in 96 miles

Jet B(the second jet) descends 6 miles in 120 miles

We can compare these as fractions to see which is steeper. This can be viewed as slope and the origin (0,0) is the airport.

slope: 6/120=?=5/96

1/20=?=5/96

Now we know that 5/100 =1/20 so 5/96 must be bigger than 5/100 because you are dividing by a smaller number.

so 1/20<5/96

So Jet B is descending steeper than Jet A.

As for linear model, I don't exactly know what your teacher means but I think I actually used the linear model when I'm thinking of steepness as slope in the coordinate plane, I will include a picture.

In this extremely zoomed out graph, you can see the blue line is just slighly higher than the red line(slope as in explanation is way easier to tell) this could be seen as the linear model) :) Hope it helped!

14cm
x
24cm

Help! We are determining the trigonometric ratio based on the information we are given (shown in the photo). I forget this equation!

Answers

Answer:

The answer is 336cm

Step-by-step explanation:

Multiply 24 & 14

Which number line shows the solution to x>7?

Answers

Answer:A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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Answers

8 sandwiches just half the size

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Answers

Answer: 256

Step-by-step explanation:

Answer:

256cm² is the correct answer

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Answers

Answer:

5.25

Step-by-step explanation:

7x3 = 21

21/4 = 5.25

Answer:

5 1/4

Step-by-step explanation:

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