help plz with Algebra question I attached a file

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

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 = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]

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

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]

The margin of error for a 90% confidence interval when n = 45 is 10.02.

Answer:

Total volume of 80 balls = 2,263.2 inch³

Step-by-step explanation:

Given:

Diameter of lead ball = 6 inch

Number of ball need = 80

Find:

Total volume of 80 balls

Computation:

Radius of lead ball = Diameter / 2

Radius of lead ball = 6 / 2

Radius of lead ball = 3 inch

Volume of lead ball = πr²

Volume of lead ball = (22/7)(3)²

Volume of lead ball = (22/7)(9)

Volume of lead ball = 28.29 inch³ (Approx.)

Total volume of 80 balls = 80 x Volume of lead ball

Total volume of 80 balls = 80 x 28.29

Total volume of 80 balls = 2,263.2 inch³

Square and Rectangle

I hope this helps you

Answer:

15 weeks

Step-by-step explanation:

I just answered this one not too long ago

It will take 15 weeks for Emanuel to lose at most 251 pounds.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, Emanuel is trying to lose weight, he starts 2017 weighing 296 pounds.

If he plans to burn enough calories to lose 3 pounds per week,

We need to find that how many weeks will pass before Emanuel is at most 251 pounds,

So, let the number of weeks be x,

We will use here the concept of equations solving,

So, establishing the equations,

296 - 3x = 251

296 - 251 = 3x

45 = 3x

x = 15

Hence, it will take 15 weeks for Emanuel to lose at most 251 pounds.

Learn more about equations, click;

https://brainly.com/question/29538993

#SPJ3

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80

Answer: 21.625

Step-by-step explanation:

The percentage of 21 (5/8)% in decimal form is 173/800.

We have,

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The given percentage expression.

21(5/8) %

Divide by 100 to remove the %.

This can be written as,

21(5/8) / 100

Now,

21(5/8)

= (21 x 8 + 5) / 8

Simply the fraction.

= 173/8

Now,

173/8 / 100

Simplify the fraction.

= 173/800

Thus,

The percentage of 21 (5/8)% in decimal form is 173/800.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ4

Answer:

x=2.32

Step-by-step explanation:

-1.32+x=1

add 1.32 to both sides

1.32 cancels itself out

so you are left with x=2.32

Amount of deduction

Net pay check

Answer:

$171.92

Step-by-step explanation:

Given information:

Gross pay is the pay received before any deductions are taken.

Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.

Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:

  75% of $229.22

= 0.75 × 229.22

= 171.915

= $171.92

Step-by-step explanation:

The surface area increases by 100

if x y and z are side lengths and it is a rectangle.

Then finding the surface area would normally be 2xy+2yz+2xz

But then increasing each side length by a factor of 10 means multiplying it together

2x(10)y(10)+2y(10)z(10)+2x(10)z(10)

200xy+200yz+200xz and that is 100 times greater than the normal surface area.

Volume:

(x)(y)(z)=normal volume

x(10)y(10)z(10)=increased value

1000xyz=new volume

that is 1000 times greater than the previous volume

Hope that helps :)

Answer:

3/4

Step-by-step explanation:

3/4 2/3

find the lcm of the denominators

which is 12

and divide

Answer: 17 feet long 14 feet wide

The model has a scale of 1 : 16 so you can use a calculator like this one to find the exact length. https://www.ginifab.com/feeds/cm_to_inch/scale_converter.html

Answer:

700 beads are in each bag.

Step-by-step explanation:

Answer:

5x+11

Step-by-step explanation:

Hope this helped!!!

Answer:

2x+14

Step-by-step explanation:

hope this helps!

have a great day!!

Answer:

Step-by-step explanation:

The sides of a quadrilateral always add up to 360°.

Missing angle = 360-115-97-68 = 80°

Answer:

D. 80°

Step-by-step explanation:

A quadrilateral always add up to 360°

To find the missing value we first have to add the given number up:

115 + 97 + 68 = 280°

Now we minus our value from 360° :

360° - 280° = 80°

Hope this helps!

Answer:

true

Step-by-step explanation:

rjdkejdkdkekewnensjwkw

Answer:

40

Step-by-step explanation:

S x .35 = 14

S = 14/.35

S = 40

Verify:

40 x 35% = 14

9514 1404 393

Answer:

  (x -4)² +(y +3)³ = 4

Step-by-step explanation:

Each circle is centered on (h, k) = (4, -3). Each circle has a radius 1 unit smaller than the circle just outside of it. The innermost circle shown has a radius of 3, so the next in the pattern of smaller circles will have a radius of 2. The equation for a circle centered at (h, k) with radius r is ...

  (x -h)² +(y -k)² = r²

The next circle in the pattern is centered at (4, -3) and has radius 2, so its equation is ...

  (x -4)² +(y +3)² = 4

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

Answer:

Just be yourself.

Step-by-step explanation:

You might get different answers, but this one is something you should definitely do!

Hope this helped...have a great day <3

Answer:

I think that you should just try and be open about it. for example instead of telling them in person tell them by text or over a note. Also just trust your gut and how you feel! stay yourself.

Step-by-step explanation:

being yourself is probably why he will like you back.

Answer:

x=3

Explanation

2x+1=7

Step 1: Subtract 1 from both sides.

2x+1−1=7−1

2x=6

Step 2: Divide both sides by 2.

2x/2  =  6/2

x=3

plz mark me as brainliest

Answer:

-6 and negative 1 with the bio

Step-by-step explanation:

Answer:

12.0 units is the answer

Step-by-step explanation:

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-2))^2 + (1-(-8))^2}\\\\d=\sqrt{(8\\)^2+(9)^2} \\\\d=\sqrt{64+81} \\\\d=\sqrt{145} \\\\d=12.041...[/tex]

Rounding off,

d = 12.0 units

Answer:

B

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Given

Total number of US houses = 500

If 10% were affected by fuel oil

Total number affected by fuel oil = 10% of 500

Total number affected by fuel oil = 0.1 * 500

Total number affected by fuel oil = 50

Hence 50 houses were affected by fuel oil