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Anettt [7]
3 years ago
11

The function V(S) = 0.094S can be used to find the approximate volume of a sphere (V, in cubic units) in terms of its surface ar

ea (S, in square units). If the volume of a soccer ball is 1,930.75 cubic centimeters, what is the surface area of the soccer ball to the nearest cubic centimeter?
Mathematics
1 answer:
trasher [3.6K]3 years ago
5 0
<span>We have V= 0.094 S.
We also have V = 1930.75 cm^3.
Plug in this value in the formula </span>V= 0.094 S, to get

1930.75 = 0.094 S
>> 1930.75 /  0.094  = S
>> S = 20539.89 cm^2
<span>


</span>
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Compare these fractions by filling in the blank with the appropriate sign. 35 _____ 56
BartSMP [9]

Answer:

35 < 56.

  • <em>56 is greater than 35.</em>

<u><em>I hope this helped at all.</em></u>

5 0
3 years ago
$800 at 4.25% simple interest for 6 years
charle [14.2K]
A = $992.00

(I = A - P = $192.00)

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:
A = 800(1 + (0.04 × 6)) = 992 
A = $992.00

The total amount accrued, principal plus interest, from simple interest on a principal of $800.00 at a rate of 4% per year for 6 years is $992.00.
5 0
3 years ago
There are 25 students performing in the holiday concert. Of the students, 11 are boys. What percent of the students are boy's? P
Mademuasel [1]
Divide 11 by 24 and you get 0.44
So 44% of the holiday concert are boys.
3 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through the point left-parenthesis 1 comma 8 right-parenthesis and is perpendicular to
Furkat [3]

Don't be shy about using actual parentheses and commas.

Line through (1,8) perpendicular to    

-\dfrac 4 5 x + \dfrac 5 4 y = -4

The perpendicular family is gotten by swapping the coefficients on x and y, negating exactly one of them.   The constant is given directly by the point we're through:

\dfrac 5 4 x + \dfrac 4 5 y = \dfrac 5 4 (1) + \dfrac 4 5 (8) = \dfrac 5 4 + \dfrac{32}{5}

Let's clear the fractions by multiplying both sides by 20.

25x + 16y = 25 + 128 = 153

Might as well stop here.

Answer: 25 x + 16 y = 153


7 0
3 years ago
. The manager of a local small bank wants to estimate the average daily balance of all the checking accounts. Assume a random sa
MaRussiya [10]

Answer:

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

Step-by-step explanation:

Consider the provided information.

A random sample of 21 checking accounts at the bank are chosen,

That means n=21

df = n-1

df = 21-1=20

We need to  Construct and interpret a 95% confidence interval.

Determine t critical value for 95% confidence interval.

0.95=1-α

α=0.05

The sample size is small and it is a two tailed test.

From the t value table confidence interval is 2.086

An average daily balance is $303 and a standard deviation of $63.

CI=\bar x\pm t_c \times \frac{s}{\sqrt{n}}

Substitute the respective values.

CI=303\pm 2.086 \times \frac{63}{\sqrt{21}}

CI=303\pm 28.68

CI=274.32\ or\ 331.68

A 95% confidence interval estimate of the population mean (average) daily balance of all the checking accounts is $274.32 to $331.68

3 0
4 years ago
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