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faltersainse [42]
3 years ago
10

Find the area of a circle with radius, r = 6.48m. Give your answer rounded to 2 DP.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

Area = 131.9167322

Step-by-step explanation:

I'm not sure what 2 DP means so you will need to do that part.

area=pi*radius^2

area=3.14*42 (approx)

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What is the value of i^20+1?
ICE Princess25 [194]

You know

i^2=-1

Squaring both sides gives

(i^2)^2=(-1)^2\implies i^4=1

Then raising both sides to any integer power n gives

(i^4)^n=1^n\implies i^{4n}=1

That is, any power of i where the power is a multiple of 4 will always be equal to 1.

So

i^{20}+1=1+1=2

But perhaps you mean to write 20+1 as the exponent, in which case

i^{20+1}=i^{20}i=i

8 0
3 years ago
The smaller triangle was dilated to form the larger triangle, what is the value of x?
dezoksy [38]

Answer:

the angle x would still be the same when you dilate the same triangle. if x was 87 degree on the small triangle and then dilate it larger, the value of x would still be 87 degree.

3 0
3 years ago
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P + 13x = q p = 7 x = 4 q =
Leviafan [203]
13(4)=52 52+7=59 so q=59
5 0
3 years ago
A study of the impact of executive networking on firm performance measured firm performance as annual return on equity​ (ROE), r
vova2212 [387]

Answer:

The value of ROE that will be exceeded by 78​% of the firms is -1.77%.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The mean ROE for the firms studied was 14.93​% and the standard deviation was 21.74​%. This means that \mu = 0.1493, \sigma = 0.2174

What value of ROE will be exceeded by 78​% of the​ firms?

This is the value of X when Z has a pvalue of 1-0.78 = 0.22.

This is Z = -0.77

So:

Z = \frac{X - \mu}{\sigma}

-0.77 = \frac{X - 0.1493}{0.2174}

X - 0.1493 = -0.77*0.2174

X = -0.0177

The value of ROE that will be exceeded by 78​% of the firms is -1.77%.

3 0
3 years ago
4c-2d÷c elvauate for c= 2 and d=5. Enter your numerical number
jok3333 [9.3K]
You just need to substitute 4(2)-2(5)/2
8-10/2
8-5
=3
4 0
2 years ago
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