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Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

78.54

Step-by-step explanation:

The formula is $A = \pi r^2\\$ . So, substitute the values into the equasion and get the answer.

According to the order of operations, we square the radius first, then multiply by pi. 5^2 = 25. 25 * pi = 78.5398163397. I just rounded it to the nearest hundereth.

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2. Find the simple interest. P=$90300, R=8.7%, T=2

ZanzabumX [31]

Answer:

$15,712.20

Step-by-step explanation:

First you convert the percentage to decimal form out of 100 (which you divide)

8.7%/100 = 0.087

A = P(1 + rt)

A = $90,300(1 + 0.087 * 2) ( * = multiplication)

I = $106,012.20 - $90,300= $15,712.20

Which you should get $15,712.20

Hope this helps!

5 0

2 years ago

A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation

Dennis_Churaev [7]

Answer: 95% confidence interval would be (1341.2,1458.8).

Step-by-step explanation:

Since we have given that

n = 64

Average = 1400

Standard deviation = 240

We need to find the 95% confidence interval for SAT scores.

So, z = 1.96

So, Interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1400\pm 1.96\times \dfrac{240}{\sqrt{64}}\\\\=1400\pm 1.96\times \dfrac{240}{8}\\\\=1400\pm 1.96\times 30\\\\=1400\pm 58.8\\\\=(1400-58.8,1400+58.8)\\\\=(1341.2,1458.8)$