Step-by-step explanation:
1. 57 degrees
2. B
3. 117 degrees
4. C
Answer:
V≈1287.88
A≈1152.98
Step-by-step explanation:
Answer:
(x-7)^2+(y-8)^2=121
Step-by-step explanation:
Answer: a) The probability is approximately = 0.5793
b) The probability is approximately=0.8810
Step-by-step explanation:
Given : Mean : ![\mu= 62.5\text{ in}](https://tex.z-dn.net/?f=%5Cmu%3D%2062.5%5Ctext%7B%20in%7D)
Standard deviation : ![\sigma = \text{2.5 in}](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Ctext%7B2.5%20in%7D)
a) The formula for z -score :
![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
Sample size = 1
For x= 63 in. ,
![z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{1}}}=0.2](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B63-62.5%7D%7B%5Cdfrac%7B2.5%7D%7B%5Csqrt%7B1%7D%7D%7D%3D0.2)
The p-value = ![P(z](https://tex.z-dn.net/?f=P%28z%3C0.2%29%3D)
![0.5792597\approx0.5793](https://tex.z-dn.net/?f=0.5792597%5Capprox0.5793)
Thus, the probability is approximately = 0.5793
b) Sample size = 35
For x= 63 ,
![z=\dfrac{63-62.5}{\dfrac{2.5}{\sqrt{35}}}\approx1.18](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B63-62.5%7D%7B%5Cdfrac%7B2.5%7D%7B%5Csqrt%7B35%7D%7D%7D%5Capprox1.18)
The p-value = ![P(z](https://tex.z-dn.net/?f=P%28z%3C1.18%29)
![= 0.8809999\approx0.8810](https://tex.z-dn.net/?f=%3D%200.8809999%5Capprox0.8810)
Thus , the probability is approximately=0.8810.
Answer:
34/4 = 8.5 dollars per hr
12 x 8.5 = 102
Answer: $102
Step-by-step explanation:
First step: find the unit rate (how much she earns per hour )
34/4 = 8.5
Next: Find how much she wants to work for
Then: Create the equation.
12 x 8.5
Last: multiply 12 and 8.5 and you should get your answer of 102 dollars
REMEMBER TO ADD THE DOLLAR SIGN