The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. How large a sample is needed if the principal would like to assert with​ 90% confidence that the sample mean is off​ by, at​ most, 7 minutes. Assume that s=14 minutes based on previous studies.

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

Answer:

69

Step-by-step explanation:

Answer: 493,700,000

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Vertical angles are congruent.

  8x = 2x +30

  6x = 30 . . . . . . subtract 2x

  x = 5 . . . . . . . . divide by 6

__

  60y -40 = 40y +20

  20y = 60 . . . . add 40-40y

  y = 3 . . . . . . . .divide by 20

_____

Check

The 'x' angles are 8x° = 8·5° = 40°.

The 'y' angles are (40y+20)° = (40·3+20)° = 140°.

The angles are supplementary, as they are supposed to be.

Answer:

I think sound waves

Step-by-step explanation:

I'm not smart listen to someone else

Answer:

9

Step-by-step explanation:

A coefficient is a number in front of a variable.

Answer:

9

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

When dividing fractions flip and multiply.

So 12 would become 1/12

and 1/4 would become 4/1

Now multiply

[tex]\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}[/tex]

So the answer is 1/3

When dividing fraction remember to flip then multiply much easier that way!

Hope this helps!!

Okay, so basically just plug -2 in for x in the equation and solve.

-7(-2) + 1

Multiply first

14 + 1

Now add

15

Answer:

41 1/6 is the answer lets do it step by step

Step-by-step explanation:

You are usually taught to multiply the improper fractions and simplify the result.

.. (38/3)*(13/4) = (38/4)*(13/3)

.. = (19/2)*(13/3)

.. = (19*13)/6

.. = 247/6

.. = 41 1/6

You can also multiply the parts.

.. (12 2/3)*(3 1/4) = 12*3 + 12*(1/4) +(2/3)*3 +(2/3)*(1/4)

.. = 36 +3 +2 +1/6

.. = 41 1/6

hope this helps:D

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]

[tex]\mathsf{= \dfrac{12\times3+2}{3}\times \dfrac{3\times4+1}{4}}[/tex]

[tex]\mathsf{= \dfrac{36 + 2}{3} \times \dfrac{12 + 1}{4}}[/tex]

[tex]\mathsf{= \dfrac{38}{3}\times\dfrac{13}{4}}[/tex]

[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]

[tex]\mathsf{= \dfrac{494}{12}}[/tex]

[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]

[tex]\mathsf{= \dfrac{247}{6}}[/tex]

[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\boxed{\mathsf{Option\ D.)\ 41 \dfrac{1}{6}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: 9.9 years

Step-by-step explanation:

We have an interest of 7.25%, compounded continuously, we can write this as:

P = A*e^(r*n)

where:

P is the total balance after n years.

A is the initial investment.

r is the ratio of increase, in the case of a continuous compound, this will be:

r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070

n is the time in years.

Then we want to have our initial investement doubled, this means:

P = 2*A

let's find n for this situation:

P = 2*A = A*e^(0.070*n)

     2 = e^(0.070*n)

Now we can apply the Ln() to both sides, remember that:

Ln(e^x) = x

Then:

 2 = e^(0.070*n)

Ln(2) = Ln(e^(0.070*n)) = 0.070*n

Ln(2)/0.070 = 9.9

So we need 9.9 years to double the initial investment.

Answer:

I got x= 21

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

plz Brainliest i need it

Answer:

28

Step-by-step explanation:

I got this question on  a test and got it right

HAVE A GREAT DAY!

Answer:

The price per inch is $0.26.

Step-by-step explanation:

There are 12 inches in 1 foot.

First, we need to calculate what the cost is per foot.

18.72 / 6 = 3.12

From this answer, we have to divide by 12 to calculate what the price is per inch.

3.12 / 12 = 0.26

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a wonderful day!

Answer:

(1+r/12)=1.075

r/12=0.075

r=0.9 or 90%

Step-by-step explanation:

Given:

Initial amount = 8

To find next week's amount, we multiply this week's amount by 4.

To find:

A formula that gives the amount A after T weeks.

Solution:

We have,

Initial amount = 8

According to the question,

Amount of next week = 4 × Amount of this week

Amount after one week is

[tex]A=4\times 8[/tex]

Amount after two week is

[tex]A=4\times (4\times 8)[/tex]

[tex]A=4^2\times 8[/tex]

Amount after T week is

[tex]A=4^T\times 8[/tex]

[tex]A=8(4)^T[/tex]

Therefore, the required formula that gives the amount A after T weeks is [tex]A=8(4)^T[/tex].

Answer:

Determination of the Finance Charge, Carry-over balance, Minimum Payment for each of the next two months:

Finance Charge:

First month = $7.91

Second month = $7.72

Carry-over balance:

First month = $487.59

Second month = $475.50

Minimum Payment:

First month = $20.32

Second month = $19.81

Starting balance (Carry-over balance + Finance charge):

First month = $507.91

Second month = $495.31

Step-by-step explanation:

a) Data and Calculations:

Credit Finance = $500

APR = 18.99%

Minimum monthly payment = 4% of the balance

Monthly rate of interest = 0.1899/12 = 0.015825

Finance Charge:

First month = $7.91 ($500 * 0.015825)

Second month = $7.72 ($487.59 * 0.015825)

Carry-over balance:

First month = $487.59($507.91 - $20.32)

Second month = $475.50 ($495.31 - $19.81)

Minimum Payment:

First month = $20.32 ($507.91 * 4%)

Second month = $19.81 ($495.31 * 4%)

Starting balance (Carry-over balance + Finance charge):

First month = $507.91 ($500 + $7.91)

Second month = $495.31 ($487.59 + $7.72)

x=-15/2 , 4

I'm sorry if I'm wrong

Answer:

1.575

Step-by-step explanation:

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

[tex]AC^2= AB^2+BC^2[/tex]

[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]

[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]

[tex]\Rightarrow 6x=64-9=55[/tex]

[tex]\Rightarrow x=55/6=9.17[/tex] chi.

Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,

and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.

Answer:

27/29

Step-by-step explanation:

Answer:

June, July

Step-by-step explanation:

Please give me brainliest

Answer:

I= f.t = (50) (0.01) = (0.5) kg.m15

Step-by-step explanation:

jesus loves you and cares for you

Answer:

Step-by-step explanation:

-3x^2 --2x--2 -- 9/x--2

Answer:

0.59, 3/5 0.65

Step-by-step explanation:

3/5 = 0.60

Answer: 0.59, 3/5 (0.60), 0.65

Step-by-step explanation: If you would convert 3/5 into a decimal it would be 0.6, you'd divide 3 by 5. Hope this helps!

Answer:

5137

Step-by-step explanation: