Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The standard deviation is know to be σ = 12. Find a 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies. Round the numbers in your interval to the nearest whole number.

Answers

Answer 1

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

Sample mean of [tex]\overline{x} = 146[/tex]. Population standard deviation of [tex]\sigma = 12[/tex]. Sample size of [tex]n = 65[/tex].

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at https://brainly.com/question/16807970


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A former Olympic platform diver had a kinetic energy of 12,300 J prior to hitting the surface. If the divers speed is 17 m/s, what is their mass?

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Answer:

Step-by-step explanation:

I need help! Show all the work, step by step.​

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Answer:

z = [tex]\frac{4x}{3y}[/tex]

Step-by-step explanation:

x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4x = 3yz ( isolate z by dividing both sides by 3y )

[tex]\frac{4x}{3y}[/tex] = z

It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?

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Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.

Answers

Answer:

A = 27 cm²

Step-by-step explanation:

let 'w' = width

let '3w' = length

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

w = 3

l = 3(3) or 0

A = lw

A = 3(9)

A = 27

22 meters per second in kilometers per hour.

Answers

Answer:

79.2 kilometres per hour

Step-by-step explanation:

1 km = 1000 m

1 hr = 3600 sec. To convert km/hr into m/sec,

We multiply the speed which in this case is 22m/s

by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.

30 - 6 (x + 3) + 2x = 8

Answers

Answer:

I believe the correct answer would be the first X=1 and the second X=1

Basically they both equal 1

Answer:

X=1

Step-by-step explanation:

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

what is the least common factor for 1,000 and 150

Answers

Answer:

least common multiple: 1000

greatest common factor is 50

least common factor would be 1, but that isn't really a common thing to calculate

Step-by-step explanation:

William Kamkwamba, the author of The Boy Who Harnessed the Wind, structured his memoir by first telling about the day the windmill he built first generated electricity, then by telling about the events that led him to build the windmill, and finally by telling about what happened to him after he built the windmill.

This is an example of which type of text structure?


Why does Kamkwamba begin with the day the windmill first generated electricity?

Answers

The kind of text structure that was utilized by William Kamkwamba in the story, "The Boy Who Harnessed the Wind" is the Sequential text structure.

William Kwakwamba began with the day the windmill first generated electricity because it was remarkable and is, therefore, the first detail to note in the story.

To understand why this is the right text structure, we need to first understand what text structure is and the characteristics of a sequential structure.

What is Text Structure?

Text structure refers to the organization of writing to convey intended meanings.

The sequential text structure follows these processes:

It is a step-by-step account of the events in the story.It can be identified by words such as first, then, and finally.

Thus given these explanations of what the sequential text structure is, we can classify the excerpt from William Kamkwamba's "The Boy Who Harnessed the Wind" as sequential.

Learn more about text structure here:

https://brainly.com/question/12053427

Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.) t+2g=205

t+g=120

Step-by-step explanation:

We know that Kerry scored 205 points by making 120 basket.

t+g=120 { Because some of the basket were 1-point free

t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)

the locus of all points that are the same distance from (3,-2) and (3,4) is one straight line. Draw this straight line

Answers

Answer:

No answer i can provide

Step-by-step explanation:

If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.

Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.

Hope this helps!

Answer:

line is y = 1

Step-by-step explanation:

the question is talking about loci, in this case 2 point

these 2 points are (3,-2) and (3,4)

draw a line to connect these to points and bisect the line.

to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .

then draw another arc at the sencond point

were the 2 arcs meet draw a line - this straight line will be the answer.

y = 1

Find the perimeter. Simplify your answer.

Answers

Answer:

8v + 4

Step-by-step explanation:

Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4

= 8v + 4...ans

Hope it Helps you!!

The picture shows the $4.88 Josephine spent on a package of 4 pens.

Drag the money below to the box to show how much each pen cost.

Answers

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag

Answers

Answer:

8

Step-by-step explanation:

eight more anakd;odslakhas sfjjjsjas

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Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Parallel lines have the same slope.

Solve for y in the equation to find the slope.

x - 4y = 4x

  -4y = -x + 4x

  -4y = 3x

     y = 3/-4 x   = -3/4x    So the slope is -3/4  which is the coefficient of the

                                       x term

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-1 = -3/4(-8) + b

-1 = 6 + b

-1 - 6 = b

-7 = b

The equation of the new line:  y = mx + b

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what is 18,678,789 times 67,897,867

Answers

The answer is 1.2682499e+15

Someone plz help me :(

Answers

Answer:

The answer is a

Step-by-step explanation:

Like and give 5 star rating

Answer:

8/3 miles over 8miles

8 mi/3 hrs = 8/3 mi/hr = 2.66666.

what is 75 percent of 18

Answers

Answer:

13.5

Step-by-step explanation:

Timmy is 6 feet tall and casts a 10-foot shadow. Nikki casts a 9-foot shadow. How tall is Nikki?

Answers

Answer:

5.4 im pretty sure

Step-by-step explanation:

19 is 5 times a number - 2
I really need the equation

Answers

Step-by-step explanation:

19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2

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Answers

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

Convert 8 yards into meters. Round your answer to the nearest tenth.

Answers

Answer:

7.3 meters

Step-by-step explanation:

use the formula:

meters= yards x 0.9144.

8 yards x 0.9144 = 7.3152 meters

which rounded to the nearest tenth is 7.3152

Answer:

7.3

Step-by-step explanation:

→ First find how many yards in one meter

1 yard = 0.9144 meters

→ Multiply 0.9144 by 8

0.9144 × 8 = 7.3152

Please help! 20 Points! Will give brainliest if correct!

Answers

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

Which of the following lists is in order from smallest to largest?

Answers

The answer is

1.1%, 0.1, 1/9, 2/11

Step-by-step explanation:

convert the fractions to decimals, the percentage to decimal.

then just order the numbers from smallest to biggest

1/9= 0.11

2/11=0.18

1.1%/100= 0.011

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

How do you solve , (x+3)2 ?

Answers

Answer:

Distributive property of multiplication.

Step-by-step explanation:

2(x+3)

Multiply 2 times x, and 2 times 3 so that you get:

2x+6

Answer:

(x+3)2= 2 × x 2 × 3= 2x + 6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

[ASAP] Which graph represents a direct variation?

Answers

D because when x increases, y increases

f – 4 ≤ 9 for f. solve for the

Answers

Answer:

f>36

Step-by-step explanation:

9

<

f

4

Multiply both sides by

4

.

9

4

<

f

4

4

Simplify.

Tap for more steps...

36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

)

Answer:

f={∞,13)

Step-by-step explanation:

f - 4 ≤ 9

f - 4-9  ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

9 ≤ 9  

(f>13) f-4 ≤9

   Find a number less than 13

f=12

12-4 ≤9

8≤9 √  

(f<13) f-4 ≤9

   Find a number greater than 13

14

14-4 ≤9

10 ≤9 ×

What’s 568 divided by 7

Answers

81.14


568 divided by 7 = 81.14
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