Let's set the first angle as x, the second angle is then 4x, and the third angle is (x+4x)+15, which is 5x+15
the three angles make a sum of 180: x+4x +5x+15=180
10x=165
x=16.5
the second angle is 4x=4*16.5=66
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normal.
Then, the mean of the sampling distribution of sample means is given by,
![\mu_{\bar x}=\mu](https://tex.z-dn.net/?f=%5Cmu_%7B%5Cbar%20x%7D%3D%5Cmu)
And the standard deviation of the sampling distribution of sample means is given by,
![\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%20x%7D%3D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
So, if the sample of daily calcium intake of Americans collected is more than 30, then the sampling distribution of
will be approximately normal.
ANSWER
![( {36})^{ (- \frac{1}{2}) } = \frac{1}{6}](https://tex.z-dn.net/?f=%28%20%7B36%7D%29%5E%7B%20%28-%20%20%5Cfrac%7B1%7D%7B2%7D%29%20%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20)
EXPLANATION
The given expression is
![{36}^{( - \frac{1}{2} )}](https://tex.z-dn.net/?f=%20%7B36%7D%5E%7B%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%7D%20)
This is having a negative index. We must first of all change to a positive index.
Recall that,
![{a}^{ - m} = \frac{1}{ {a}^{m} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%20m%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bm%7D%20%7D%20)
We apply this law of exponents to get,
![{36}^{( - \frac{1}{2} )} = \frac{1}{ {36}^{( \frac{1}{2} )} }](https://tex.z-dn.net/?f=%20%7B36%7D%5E%7B%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B36%7D%5E%7B%28%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%7D%20%7D%20)
We cab rewrite the given expression to obtain;
![{36}^{( - \frac{1}{2} )} = \frac{1}{ \sqrt{36} }](https://tex.z-dn.net/?f=%20%7B36%7D%5E%7B%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%20%5Csqrt%7B36%7D%20%20%7D%20)
This will simplify to give us,
Answer:
I do not fully know your question, but your slope is m=1, your y-intercept is 12, and your x-intercept would be (-12,0). I hope this helps. Try to reconstruct your question next time.
Answer:
≈ 3.6 x 10^1
Step-by-step explanation:
= (6.05 x 3.05) x 10^(5+4) / (4.27 x 1.2) x 10^(4+4)
= 18.4525 x 10^9 / 5.124 x 10^8
= (18.4525 / 5.124) x 10^(9-8)
≈ 3.6 x 10^1