The average natural gas bill for a random sample of 21 homes in the 19808 zip code during the month of February was $311.90 with a sample standard deviation of $51.60. Based on the sample, construct a 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February.

Answers

Answer 1

Answer:

The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 21 - 1 = 20

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7247

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7247\frac{51.60}{\sqrt{21}} = 19.42[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48

The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32

The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32


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Which of the fractions is equivalent to 2/3

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Answer:

4/6

6/9

12/18

8/12

5/10

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Answer:

The answers are 4/6 and 6/9.

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Find the common ratio of the geometric sequence 7,63,567, ...

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Step-by-step explanation:

Answer: 9

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Share 13 ones with 2 groups. How many ones are in each group

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Answer:

6.5

Step-by-step explanation:

13 divided by 2 = 6.5

2 0 IC : 7(x + 8) - 4(x + 10)​

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Answer:

3x+16

Step-by-step explanation:

The value of [-10] is?
A.11
B.-10
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Answers

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

Answer:

b. -10

Step-by-step explanation:

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Answers

Answer:

y = -1/4x - 5/2

Step-by-step explanation:

-2- -4 /-1-7 = 2/-8 = -1/4

y+2 = -1/4(x+2)

y+2 = -1/4x - 1/2

y = -1/4x -5/2

Give Brainliest for the correct Answer 50 points

Answers

Answer:

x-30

Step-by-step explanation:

Answer: 5(x-2)=40     5x-10 = 40      5x=50    x=10  

Step-by-step explanation:

^

A recipe for oatmeal which serves 4 people uses 3 cups of rolled oats.
How many cups of rolled oats will be used for oatmeal which serves 6 people?
O A. 2 cups
OB. 2 cups
Oc. 4 41
cups
D. 5 cups
o
E. 8 cups

Answers

The 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A recipe for oatmeal that serves 4 people uses 3 cups of rolled oats.

Let's suppose the x number of cups will be used to serve 6 people.

Mathematically,

4 people use 3 cups

6 people use x cups. then:

[tex]\frac{4}{6} =\frac{3}{x}[/tex]

4x = 6×3  (after cross multiplication)

4x = 18

x = 4.5   (divide by 4 on both sides)

[tex]\rm x=4\frac{1}{2}[/tex]

Thus, the 4.5 or 4 whole number 1/2 cups of rolled oats will be used for oatmeal which serves 6 people option (C) is correct.

Learn more about the fraction here:

brainly.com/question/1301963

A box of 6 mini muffins costs $2.34. Which are equivalent prices? Select the three that apply.
A. $0.39 per muffin
B. $1.40 for 4 muffins
C. $3.12 for 8 muffins
D. $3.09 for 10 muffins
E. $7.80 for 20 muffins

Answers

Answer:

A

Step-by-step explanation:

2.34 divided by 6 so then that gives you o.39

Biased or Random?

Michael wants to determine the amount of time that 7th graders spend studying for tests. He surveys 80 7th grade students as they get to school.

Answers

The correct answer is random because he’s asking the first 80 7th grade students that enter the school instead of picking select students such as his friends

What is the solution to the linear equation?
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Answers

[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]

i hope it helps u

how does a toad reassemble a fish​

Answers

Answer:

they do- here's how (i think)

Step-by-step explanation:

a toad has similar features- think about it.

a toad has gills since it needs to stay underwater for the time being

so do fish

they have a tail to let them swim around and direct themselves to which area they're going to.

fish also do the same!

hope this helps!:)

. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
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Answers

Answer:

8

Step-by-step explanation:

line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye

 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.

What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?

A. 4
B. -4
C. -6
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Answers

Answer:

D. 6

Step-by-step explanation:

M is midpoint of LP and N is midpoint of MP

Use midpoint formula:

x = (x₁ + x₂)/2

Find x-coordinate of M:

x = (-3 + 9)/2 = 3

Find x-coordinate of N:

x = (3 + 9)/2 = 6

Correct choice is D

How to get from 40 to 5 in two steps

Answers

Answer:

Step one: say "5"

Step two: say "40"

Done.

Which of the following ordered pairs is a solution of the system of inequalities?
y > 2x2 – 8
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A)

(4, –3)

B)

(–3, –2)

C)

(5, 0)

D)

(0, –5)

Answers

9514 1404 393

Answer:

  D)  (0, -5)

Step-by-step explanation:

A graphing calculator is helpful. It shows that the point (0, -5) is in the solution spaces of both inequalities.

__

If we consider only the case of x=0, then the solution space reduces to ...

  -8 < y ≤ 4 . . . . . the constants of the two inequalities

Here, it is easy to see that y=-5 is in the solution space.

  (0, -5) is a solution

olve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

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1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

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m € (4,-∞)

Write the slope-intercept form of the line given point and slope. ( show work if possible please)

through: (-2,-5), slope = 5 ​

Answers

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

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The list below shows the different choices of pizza at the local pizza shop: Pepperoni: 11 Supreme: 7 Cheese: 6 Hawaiian: 3 Based on these results, what is the theoretical probability of choosing a Hawaiian Pizza?​

Answers

Step-by-step explanation:

11 + 7 + 6 + 3 = 27

total amount of pizza = 27

Hawaiian pizza = 3

3/27 = 1/9

Brainliest. Please aced and expert help me out here.

Answers

Answer:

The following statements are true.

A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal. The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively. The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers

Which of the following is a radical equation?
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Answers

Answer:

7√x = 14

Step-by-step explanation:

A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

What is a radical equation?

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

Read more on radical equation;

https://brainly.com/question/2292715

#SPJ5

The drawing below shows the dimensions of Kim’s kite.

What is the are of Kim’s
kite?
F 32 square inches
G 48 square inches
H 96 square inches
J 120Square inches

Answers

I believe it is choice G.

it's that one

Step-by-step explanation:

okayyy so uhh

Pls help BRAINLYEST FOR BEST ANSWER YAYA

Answers

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

21

Answer:

21

The mean is 21. Remember to calculate the mean we add up the numbers then divide them by the number of numbers.

What fraction is less than 3/4?

Answers

Answer:1/2

Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%

whos ur celeb crush I need to know mines is the actor of wanda

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Answer:

Same!!!!!!!!!!!

Step-by-step explanation:

Answer:

mines Matthew Mercer i dont know if he counts as a celeb cuz he is a famous voice actor

help me!!!!!!!!!!!!!
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Answers

X = 53/3762 I’m guessing!

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
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Answers

ABC I really need these points thx a lot

Jillian picked coins from her piggy bank and recorded the number of coins in the table below.

Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter

Answers

Answer:

1/8

Step-by-step explanation:

There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8

The probability of randomly picking a quarter is P = 0.125

How to get the probability?

If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.

In this case, we have 3 quarters, and a total of:

T = (6 + 7 + 8 + 3) = 24

Then the probability of randomly picking a quarter is:

P = 3/24 = 0.125

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

5 divided by 1/4
go straight to the answer

Answers

Answer:

20

Step-by-step explanation:

What is the difference of 506 and 297

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Answer:

209

Step-by-step explanation:

subtract

Answer:

209

Step-by-step explanation:

subtraction bro

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