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3 years ago

What is the exact circumference of a circle with a radius of 15 cm? Answers: A. 60cm B. 30cm C. 15cm D. 10cm

Mathematics

1 answer:

MAVERICK [17]3 years ago

8 0

$r=15cm\\\\circumference:2\pi r\\\\2\pi r=2\pi\cdot15cm=30\pi cm$

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What is the solution to the inequality?<br> −6x+5>−1

Bogdan [553]

Answer:

$\boxed{x$

Step-by-step explanation:

$-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x$

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3 years ago

What does cross-sectional area mean in math term?

Bingel [31]

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2 years ago

Read 2 more answers

A totem pole casts a 20 meter shadow when the angle of elevation of the sum is 45what is the distance from the top of the totem

abruzzese [7]

Answer:

20√2 meters (approximately 28.28 m)

Step-by-step explanation:

It may help to make a diagram. Because this is a 45 45 90 triangle, you can use those rules to help solve.

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3 years ago

A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 99% confiden

solmaris [256]

Answer:

Sample size n = 1382

so correct option is D) 1382

Step-by-step explanation:

given data

confidence level = 99 %

margin of error = 3%

probability = 25 %

to find out

How large a sample size needed

solution

we know here P = 25 %

so 1 - P = 1 - 0.25

1 - P = 0.75

and we know E margin of error is 0.03 so value of Z for 99%

α = 1 - 99% = 1 - 0.99

α = 0.01

and $\frac{\alpha}{2}$ = $\frac{0.01}{2}$

$\frac{\alpha}{2}$ = 0.005

so Z is here

$Z_(\frac{\alpha}{2})$ = 2.576

sample size will be

Sample size n = $(\frac{(Z_(\frac{\alpha}{2})}{E})^2 * P * (1-P)$

put here value

Sample size n = (\frac{2.576}{0.03})^2 * 0.25 * 0.75

Sample size n = 1382

so correct option is D) 1382

3 0

3 years ago

Calculate the principal if the maturity value is $4,500 and the simple interest is $350.

suter [353]

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

= $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.

4 0

3 years ago