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3 years ago

What is the radius to the nearest integer?

Mathematics

2 answers:

Serhud [2]3 years ago

8 0

area of circle = pi * radius^2

radius = sqrt(area/pi) = sqrt(45/3.14)

radius = 3.78

round up

radius = 4 inches

34kurt3 years ago

5 0

What is the radius to the nearest integer? The radius is 4:)

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At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes

lakkis [162]

Answer:

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

Alternative Hypothesis :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step(ii):-

Test statistic

$t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }$

t = -900 /33.54 = -26.517

|t| = |-26.517|=26.517

Degrees of freedom

γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

4 0

3 years ago

A gym membership charges $100 for a start up fee and $40 a month for

slamgirl [31]

The equation that represents the cost of membership is $100 + $40c

The cost of 1 year membership is $580.

The number of months you have paid for is 9 months.

<h3>What is the equation that represents the cost of the gym membership?</h3>

The cost of gym membership is the sum of the fixed cost and the variable cost. The fixed cost is the start-up fee while the variable cost is the cost per month.

The equation that represents the cost of the gym membership is: c = $100 + $40m

Where m represents the number of months

The cost of 1 year membership = $100 + $40(12)

$100 + $480 = $580

How many months would $460 cover = ($460 - $100) / 40 = 9 months

To learn more about fixed cost, please check: brainly.com/question/25879561

6 0

3 years ago

The expression below represents Julias annual salary after tyears interpret the meaning of the expression 25,000(1.04) interpret

LuckyWell [14K]

Given that the expression for Julia's salary after t years is given by:
25000(1.04)^t
This can be interpreted as follows:
Initial salary is $25000
growth rate is 0.04=4%
thus the correct answer is:
D salary is 25,000 growth rate is 4% per yr

8 0

4 years ago

What is 0.6666666666 as a fraction

OleMash [197]

The answer is the fraction is 66/100 or simplified, 2/3

6 0

4 years ago

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The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find

andre [41]

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.