Answer:
![\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997](https://tex.z-dn.net/?f=%5Cmu%20_%7B%5Chat%7Bp%7D%7D%3D%200.275%5C%5C%5C%5C%20%5Csigma_%7B%5Chat%7Bp%7D%7D%3D0.1997)
Step-by-step explanation:
We know that the mean and standard deviation of the sampling distribution of the sample proportion(
) is given by :-
![\mu _{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}](https://tex.z-dn.net/?f=%5Cmu%20_%7B%5Chat%7Bp%7D%7D%3Dp%5C%5C%5C%5C%20%5Csigma_%7B%5Chat%7Bp%7D%7D%3D%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
, where p= Population proportion and n = sample size.
Let p be the proportion of blue chips.
As per given , we have
p= 0.275
n= 5
Now , the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 will be :
![\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{ 0.275(1- 0.275)}{5}}\\\\=0.19968725547\approx0.1997](https://tex.z-dn.net/?f=%5Cmu%20_%7B%5Chat%7Bp%7D%7D%3D%200.275%5C%5C%5C%5C%20%5Csigma_%7B%5Chat%7Bp%7D%7D%3D%5Csqrt%7B%5Cdfrac%7B%200.275%281-%200.275%29%7D%7B5%7D%7D%5C%5C%5C%5C%3D0.19968725547%5Capprox0.1997)
Hence, the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 are :
![\mu _{\hat{p}}= 0.275\\\\ \sigma_{\hat{p}}=0.1997](https://tex.z-dn.net/?f=%5Cmu%20_%7B%5Chat%7Bp%7D%7D%3D%200.275%5C%5C%5C%5C%20%5Csigma_%7B%5Chat%7Bp%7D%7D%3D0.1997)
Answer: The answer is the value of X=60
Step-by-step explanation:
Divide 180 by three because each triangle should add up to be 180 degrees
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5
The area of an exercise aid that is textured from the information regarding Fiona is 50 inches².
<h3>How to calculate the area?</h3>
From the information given, the measures or the exercise aid is approximately 25 inches around its base. Therefore, the radius will be calculated thus:
2πr = 25
(2 × 3.142 × r) = 25
6.284r = 25
r = 25/6.284
r = 3.978 = 4
Therefore, the area will be:
= πr²
= 3.142 × 4²
= 50 inches²
Learn more about area on:
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Answer:
The last graph
Step-by-step explanation:
The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.
We can consider the number of television sets currently produced by the company to be our Principal amount;
P = 2000
The rate of increase in production per month can be considered as our interest rate earned;
r = 25% = 0.25
The total number of television sets y will be our Accumulated amount;
A = y
The duration x becomes our time n.
The compound interest formula is given as;
![A=P(1+r)^{n}](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5E%7Bn%7D)
We simply substitute the given information into the formula;
![y=2000(1.25)^{x}](https://tex.z-dn.net/?f=y%3D2000%281.25%29%5E%7Bx%7D)
This is an exponential growth function since the base of the exponent x is greater than 1.
A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value