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Answer:

The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.

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 = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1315

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.1315\frac{31}{\sqrt{16}} = 16.5[/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 645 - 16.5 = 628.5 days

The upper end of the interval is the sample mean added to M. So it is 645 + 16.5 = 661.5 days

The 95% confidence interval for the mean remaining sentence of all people in the jail is between 628.5 days and 661.5 days.

Answer:

$490

Step-by-step explanation:

Since one hour of work is $12.25, 40 hours is $490.

12.25 x 40 = 490

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John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”

Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.

Step-by-step explanation:

area of a rectangle bh

4x7=28

7x9=63

9x4=36

the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.

Hope that helps :)

Answer:

step it up dont lack

Step-by-step explanation:

keep answering and helping others

Answer:

D 12

Step-by-step explanation:

25% of 48 is 12

Please Give Brainliest

Im on a roll today since im sick

Without replacement is very important

Answer:64?

Step-by-step explanation:

Answer:

1 cup - 50c

2 cups - $1

3 cups - $1.50

12 cups - $6

183 cups - $91.50

not sure what to put for "c"

Step-by-step explanation:

9514 1404 393

Answer:

  b) rotational symmetry: multiples of 120°

Step-by-step explanation:

The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.

Answer:

D. 12 square feet

Step-by-step explanation:

Multiply 3 × 4 to get 12 and divide by 2 for the top triangle. Then, multiply 3 × 4 for the bottom triangle and get 12 and divide by 2. Add 6+6 to get 12

Answer:

Are you looking for the perimeter? if so it would be 34 yards

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.

Numarical form:

47 + 37 = 79

90 - 79 = 11

11 = 10

Answer:

8units²

Step-by-step explanation:

area of trapezoid=½(a+b)*h

a=2

b=6

h=2

area of trapezoid=½(2+6)*2

area of trapezoid=½(8)*2

area of trapezoid=4*2

=8units²

Answer:

1

Step-by-step explanation:

ordered pairs with both positive numbers are in Q1

Answer:

That would be the first quadrant, also known as the I quadrant and the top right quadrant.

Answer:

A = $56025

Step-by-step explanation:

Given that,

An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%  per year.

Principal, P = 45,000

Rate of interest, R = 3.5%

We need to find the total amount the investor will receive when the loan is  repaid after 7 years.

The formula for the simple is given by :

[tex]I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025[/tex]

We know that,

Amount = Principal + simple interest

So,

A = 45,000 + 11025

A = $56025

So, the required amount is equal to $56025.

Answer:

2

Step-by-step explanation:

USE A CALCULATOR OR USE YOUR FINGERS

Answer: I-i think its 8... wait no its 2!

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

y/4=4

y=16

Answer:

[tex]y = 213 + 0.05x[/tex]

Step-by-step explanation:

Given

[tex]Initial = 213[/tex]

[tex]Rate = 5\%[/tex]

The equation to o this is:

[tex]y = intial +rate * weeks[/tex]

[tex]y = 213 + 0.05x[/tex]

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

Answer:

X= 6/D

Step-by-step explanation:

i did the math

Answer:

15 using the Pythagorean theorem.

hope it helps, plz mark me as brainliest.

Answer:

15 units is the answer.

Step-by-step explanation:

points are (-3,-4) and (6,8)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]

∴ d = 15 units is the distance between the points.

Answer: 47 minutes

Step-by-step explanation:

Answer:

47 minutes is the answer

Answer: g(x) = RootIndex 3 StartRoot x + 2 EndRoot

Step-by-step explanation:

The equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

The graph of the function is given as:

[tex]y = \sqrt[3]{x}[/tex]

The above graph passes through the origin.

So, the function can be rewritten as:

[tex]y -0= \sqrt[3]{x - 0}[/tex]

The above function has an inflection point at (0,0).

The translated function is said to have its inflection point at (4,0).

So, the translated function is:

[tex]y -0= \sqrt[3]{x - 4}[/tex]

Subtract 0 from y

[tex]y= \sqrt[3]{x - 4}[/tex]

Express y as a function of x

[tex]g(x)= \sqrt[3]{x - 4}[/tex]

Hence, the equation that represents g(x) is [tex]g(x)= \sqrt[3]{x - 4}[/tex]

Read more about translation at:

https://brainly.com/question/4057530

Answer:

Your answer would be:

[tex]5 \sqrt{3} [/tex]

Step-by-step explanation:

because