(06. 02 MC)

A fast-food chain claims one small order of its tater tots weighs 90 grams. Ava thinks she

is getting less than what the restaurant advertises. She weighs the next 14 random

orders of tater tots before she eats them and finds the sample mean is 89. 3 grams and

the standard deviation is 3. 71 grams. What conclusion can be drawn at a = 0. 05? (2

points)

There is not sufficient evidence to prove the fast-food chain advertisement is true.

There is sufficient evidence to prove the fast-food chain advertisement is false.

Ava does not have sufficient evidence to reject the fast-food chain's claim.

O Ava has sufficient evidence to reject the fast-food chain's claim.

There is not sufficient data to reach any conclusion.

Answers

Answer 1

Answer: Ava doesn’t have sufficient evidence to reject the fast-food chains claim.

Step-by-step explanation: I got it right on the quiz lol

Answer 2

Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.

What are statistics?

Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.

It is given that:

A fast-food chain claims one small order of its tater tots weighs 90 grams.

She weighs the next 14 random orders of tater tots before she eats them.

The sample mean X = 89.3 grams

The standard deviation SD = 3.71 grams

Z = (u - X)/sd

Z = (90 - 89.3)/3.71

Z = 0.18

Thus, Ava doesn’t have sufficient evidence to reject the fast-food chain's claim that option (C) is correct.

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Related Questions

Lily is going to invest $750 and leave it in an account for 18 years. Assuming the

interest is compounded daily, what interest rate, to the nearest tenth of a percent,

would be required in order for Lily to end up with $1,180?



Please help!! I need helppppp ASAP

Answers

Answer:

The interest rate would be 2.5%

Graph this parabola
Please show all steps thank you!!!

Answers

Vertex form of parabola

y=a(x-h)²+k

From the equation given

Vertex=(h,k)=(3,4)a=-2

As a is negative parabola facing downwards

Graph attached

A trapezoidal sum is an underestimate when the function is.

Answers

Answer: Concave down

Explanation:

An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.

Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.

yolanda makes wooden boxes for a crafts fair. She makes 25 boxes like the one shown, and she wants to paint all the outside faces. What is the surface area of all 25 boxes?

Answers

1550 sq. in

hope it helps..!!!

What are the values of a1 and r of the geometric series?

2 – 2 + 2 – 2 + 2
a1 = 2 and r = –2
a1 = –2 and r = 2
a1 = –1 and r = 2
a1 = 2 and r = –1

Answers

Answer:

a1=2 and r=-1

Step-by-step explanation:

"A geometric series is a series with a constant ratio between successive terms".

Here, we can observe that the first term 'a' is '2'.

And the common ratio 'r' =

Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.

First term, a, is 2.  Next term, -2, is the product of 2 and -1 and is -2.  Next term, 2, is the product of -2 and -1.  Thus, the first term, a, is 2 and the common ratio, r, is -1

Answer:

a1 = 2 and r = –1

Step-by-step explanation:

The answer above is correct.

ANSWER THIS PLEASE !!!!!!

Answers

Answer:

C

Step-by-step explanation:

Becuase 68 is closer to c than b

What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?



​Enter your answer in the answer box below.

Answers

Answer:

One

Step-by-step explanation:

For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.

Shorter sides:  6 cm and 2.5 cm

Longer side:  6.5 cm

6 + 2.5 = 8.5

As 8.5 > 6.5 this is a unique triangle

As the side lengths are fixed, only one unique triangle can be formed.

HELP PLEASE ASAP 30 POINTS

Write the equation of the graph.

ANSWERS;

A. y+3=-1/2(x-1)
B. y-3=-1/2(x+1)
C. y=1/2x+5
D. y-3=1/2(x+1)

Answers

Answer is:

y= 1/2x +3

1/2x is the gradient
+3 is the y-intercept

Hope that helps!

What is the length of the missing leg? If necessary, round to the nearest tenth

Answers

The answer is 80m
Explanation a^2+b^2=c^2

Answer:

80m

Step-by-step explanation:

Pythageoreum Theorum since it is a right triangle.

a^2 + b^2 = c^2

60^2 + b^2 = 100^2

3600 + b^2 = 10,000

-3600              -3,600

b^2 = 6,400

Square root both sides of the equation

b = [tex]\sqrt{6400}[/tex]

[tex]\sqrt{6400}[/tex] = 80

The length of side a is 80 m

Hello I need Help with this question ASAP PLS.

Question: The cost of 6 Apples is $1.20. What is the cost of 4 apples? State units of your answer.


Pls Help me, I'm stuck :(

-- Biruh​

Answers

Answer:

$0.80

Step-by-step explanation:

Find the unit rate

1 apple costs ?

1.20/6 = cost of 1 apple

1 apple = $0.20

4 apples = $0.20 * 4

4 apples = $0.80

6apples = 1.20$
4apples = x$

x$*6apples = 1.20$*4apples
x$ = 1.20$*4apples / 5apples
x = 0.8$

A factory inspector found flaws in 4 out of 22 wooden boxes. Considering this data, how many flawed boxes would you expect the inspector to find in a batch of 44 boxes

Answers

Answer:

8

Step-by-step explanation:

We can form a simple ratio to solve this problem.

Flaws:Total Box

Plug in current values

4:22

44/22 = 2

Multiply the ratio by 2

8:44

8 boxes would be flawed.

Answer:

8

Step-by-step explanation:

There are 2 ways to do this I have seen.

1. 4/22 will get you .18, you can then multiply that by 44 and get 8

2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8



Choose the correct item from each drop-down menu to factor the trinomial 3x² + 13x – 10 by grouping.

3x2+ 13x - 10 = 3x2 -

Choose.

x +

Choose.

X-10

Choose.

V (3x-2) +

Choose.

(3x - 2)

=

Choose.

Choose.

D(x - 2)

Answers

The trinomial, 3x² + 13x – 10, when factored will give you: (3x + 10)(x - 1).

How to Factor a Trinomial?

To factor a trinomial, we need to find two factors that would give us the exact trinomial when expanded.

Given, 3x² + 13x – 10:

3x² -3x + 10x - 10

(3x² - 3x) + (10x - 10 )

3x(x - 1) +10(x - 1)

(3x + 10)(x - 1)

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Which is closest to the weight of 1 raisin box?

250 grams
84 grams
125 grams
42 grams

Answers

Step-by-step explanation:

answer 42 grams.

since total is 250 with 4 box combined. then , 250/4 = 42.25. which is approximately 42 grams

If f(1) = 1 and f(n) = 2f(n − 1) then find the value of f(4).

Answers

Answer:

[tex]f(4)=8[/tex]

Step-by-step explanation:

Given:

[tex]f(1)=1[/tex][tex]f(n)=2f(n-1)[/tex]

[tex]\implies f(2)=2f(1)=2(1)=2[/tex]

[tex]\implies f(3)=2f(2)=2(2)=4[/tex]

[tex]\implies f(4)=2f(3)=2(4)=8[/tex]

Given:

Universal Set U = {3, 7, 8, 10, 11}

Subset B = {7}

What is B' ?

Answers

Answer:

B' = {3, 8, 10, 11}

Step-by-step explanation:

B' is the complement of B. It is a set that contains all elements of the universal set that are not elements of set B.

B' = {3, 8, 10, 11}

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-2 =3(x+3)

Answers

y-2=3x+9
y=3x+11
y-3x=11

Round 987 to 2 significant figure

Answers

given:

987

to find:

2 sf of 987

solution:

( to find 2sf just round of if the previous digit is 5 or more)

2 sf= 990

Answer:

990

Step-by-step explanation:

Determining Whether a Difference Is Statistically Significant
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means.

Part A
Determine the 95% confidence interval for the difference of the sample means. Then complete the statements.
The 95% confidence interval is __ to ___ .
Blank 1: -1.26, -1.38, -3.48, -3.44
Blank 2: 3.44, 3.48, 1.38, 1.26

Part B
Which statement is true about the difference of the sample means?

1. The difference of the sample means is not statistically significant because it falls outside the 5% significance level.
2. The difference of the sample means is statistically significant because it falls outside the 5% significance level.
3. The difference of the sample means is not statistically significant because it falls within the 5% significance level.
4. The difference of the sample means is statistically significant because it falls within the 5% significance level.

Part C

What can you conclude about the color of the L-Bow Roni box?

Answers

The difference of the sample means is statistically significant because it falls outside the 5% significance level.

How to explain the statistics

The formula for a 95% confidence interval for the difference between two population means is:

(sample mean difference) ± (critical value) x (standard error of the mean difference)

Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.

So, the 95% confidence interval is:

1.74 ± 1.96 x (0.69/√n)

Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:

1.74 ± (some number)

Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.

Blank 1: -1.26

Blank 2: 3.44

In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).

The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.

The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.

So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.

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2x+20+3x-5=180 ??need answer

Answers

Answer:

33

Step-by-step explanation:

2x+3x+20-5=180

5x+15=180

5x=180-15

5x=165

165/5=33

10.6 m 9.1 m 6.8 m find volume

Answers

Answer:

218.36 m^3

Step-by-step explanation:

volume = 1/3 * base area * height

volume = 1/3 * (9.1*6.8) * 10.6

volume = 1/3 * (61.8) * 10.6

colume = 20.6 * 10.6

volume = 218.36

Answer:

109.3 m³

Step-by-step explanation:

Volume of a pyramid

1/3Bh

Base Area

1/2 x 9.1 x 6.83.4 x 9.130.94 m²

Solving

V = 1/3 x 30.94 x 10.6V = 327.964/3V = 109.321333V = 109.3 m³ (approximately)

Identify the statement as true or false.
As the size of the random sample increases, the sample distribution more closely represents the population distribution.​

Answers

The answer to this question is false

Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth

radius=8

Answers

The formula is 4/3 pi r^3. So 4/3 pi 4^3.

The answer is 267.94 m^3

The volume of a sphere with radius 8 units is 2143.57 units³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as A

Now , the value of A is

Let the radius of the sphere be r

The value of r = 8

Now , the formula to calculate the volume of the sphere is

Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8

Volume of a Sphere = ( 4/3 ) x 3.14 x 512

Volume of a Sphere = ( 4/3 ) x 1607.68

Volume of a Sphere = 2143.57 units³

Therefore , the value of A is 2143.57 units³

Hence , the volume of the sphere is 2143.57 units³

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Darnell collected data from two different sales teams in his department, each with four employees.
The results of the study, based on each worker's age and sales, are listed in the tables below.
Team 1
Team 2
Worker's Age
Sales
Worker's Age
Sales
25
30,000
29,000
27
32,000
35,500
28
35,000
37,000
33
38,000
65,000
Which of the following is a true statement?
225
28
29
31

Answers

Answer:

The answer is C The sales range for team 2 is greater than the sales range for team 1.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

х
y
1
4
2
16
3
64
4
256
5
1,024
The table above represents what type of function?
A. linear
B. linear and nonlinear
c. neither linear nor nonlinear
D. nonlinear
Reset
Submit

Answers

Answer:

B

Step-by-step explanation:

When the x goes up 1, the y multiplies by 4. This graph would be a curve.

Hope that helps

What is mZLKB?
A
65°
K
#
#
B
L

Answers

Answer:

65

Step-by-step explanation:

I got it right on my test!

Please help
What is 94*106 as a difference of two squares
What is 94*106 as a product of a sum and a difference (factored form)

Answers

Answer:

Hi, I am going to help you!

➡ 94 * 106

Formula: ( a+b) (a-b)

a=100

b=6

100+6=106

100+6=106100-6= 94

2. 100² - 6²

= (100 - 6) ( 100 + 6)

= 94 * 106

( THE BOLD IS THE FINAL ANSWER FOR BOTH QUESTIONS)

I need help with this question

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

The probability of picking a 3 is 1/4.

The probability of picking up a 1 the second time will be 1/3 since there will only be 3 cards left after the first time picking up the 3.

So 1/4 x 1/3 = 1/12

The points (8, 0), (0, 9), (0, 0), and (6, 5) are the vertices of a feasible region for a linear programming problem. The objective function for the problem is C = 1.5x + 3.5y. Which point is the maximum value of C?

Answers

Answer:

the point 6,5 is the maximum Value of c out of the other points

Donald writes 6 x 9 = 54. Explain two strategies you could use to check his work.​

Answers

1) he can divide 54 by 9 to see if he gets 6
2) he can divide 54 by 6 to see if he gets 9

What is the minimum number of triangles needed to construct a hexagon? a hexagon. 3 4 5 6

Answers

Answer:

6

Step-by-step explanation:

draw a model and fit in some traingles

Answer:

it’s B :)

Step-by-step explanation:

give a that is if u think my dog is cute

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