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skad [1K]
2 years ago
11

Compute 292,000 divide 100.

Mathematics
1 answer:
pickupchik [31]2 years ago
4 0
I think The answer is 2920
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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
Serhud [2]

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 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7247

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7247\frac{51.60}{\sqrt{21}} = 19.42

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

3 0
3 years ago
Find three consecutive even integers so that twice the largest
vekshin1

If <em>x</em> is the smallest of the three, then the next two integers are <em>x</em> + 2 and <em>x</em> + 4.

"Twice the largest is 20 less than the sum of all three" translates to

2 (<em>x</em> + 4) = (<em>x</em> + (<em>x</em> + 4) + (<em>x</em> + 6)) - 20

Solve for <em>x</em> :

2<em>x</em> + 8 = 3<em>x</em> - 10

<em>x</em> = 18

Then the three numbers are {18, 20, 22}.

7 0
3 years ago
Read 2 more answers
A restaurant charges $5.00 for a slice of pizza that is 1/3 of a pizza and $4.50 for a slice that is 1/5 of a pizza. One day the
katrin [286]

Answer:

<h3>5ths</h3>

Step-by-step explanation:

Given that:

  • Price of whole pizza (A) = 5 × 3 = $15
  • Price of whole pizza (B) = 4.50 × 5 = $22.50

They make 8 whole pizzas.

Therefore

  • Thirds (A) = 15 × 8 = $120
  • Fifths (B) = 22.50 × 8 = $180

They'll make more money if they slice it into fifths.

180 - 120 = $60

Because if they slice it into thirds, total profit will be $60 less

____________________

#IndonesianPride - kexcvi

7 0
2 years ago
HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!
Alekssandra [29.7K]

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the <u>radius will be 3</u>

slant height is

\sqrt{r^2+h^2}

h is 4.7 and r is 3

\sqrt{3^2+4.71^2} \\5.58427

<u>slant height is 5.58427</u>

lateral surface area

\pi r\sqrt{h^2+r^2}

\pi (3)\sqrt{4.71^2+3^2} \\52.63053

<u>lateral surface area is 52.63053</u>

total surface area

\pi r(r+\sqrt{h^2+r^2})

\pi 3(3+\sqrt{4.71^2+3^2})

80.90486

<u>total surface area is 80.90486</u>

8 0
2 years ago
S=πrl+πr2 solve for l.
kipiarov [429]

Answer:

<h2>l =  \frac{s - π {r}^{2} }{πr}</h2>

Step-by-step explanation:

s = πrl + πr²

First move πr² to the left side of the equation

We have

πrl = s - πr²

Divide both sides by πr to make l stand alone

That's

<h3>\frac{\pi \:rl}{\pi \: r}  =  \frac{s - \pi \:  {r}^{2} }{\pi \: r}</h3>

We have the final answer as

<h3>l =  \frac{s - π {r}^{2} }{πr}</h3>

Hope this helps you

5 0
3 years ago
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