Answer:
57°
Step-by-step explanation:
Let's assume the measurement of the second angle is x.
so, following the problem
(2x + 9) + x = 180
2x + x = 3x
=> 3x + 9 = 180
=> 3x = 180 - 9
3x = 171
x = 171/3
x = 57°
57° is the smallest angle
Answer:
x=123
Step-by-step explanation:
x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.
x=123
Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees
57*x=180
Subtract 57 from both sides to get x by itself.
x=123
Answer:
Slope EQUALS: ![-\frac{6}{7}](https://tex.z-dn.net/?f=-%5Cfrac%7B6%7D%7B7%7D)
Step-by-step explanation:
y=-x+3
Answer
given,
mean of women (μ)=63 inches
standard deviation of women (σ)= 2.4 inches
mean of men (μ)=70 inches
standard deviation of women (σ)= 2.5 inches
for women
![P(x>66)](https://tex.z-dn.net/?f=P%28x%3E66%29%20)
![P(x>66) = 1-P( \dfrac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=P%28x%3E66%29%20%3D%201-P%28%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B66-63%7D%7B2.4%7D%29)
![P(x>66) = 1-P( z](https://tex.z-dn.net/?f=P%28x%3E66%29%20%3D%201-P%28%20z%3C%5Cdfrac%7B3%7D%7B2.4%7D%29)
![P(x>66) = 1-P( z](https://tex.z-dn.net/?f=P%28x%3E66%29%20%3D%201-P%28%20z%3C1.25%29)
using z-table
![P(x>66)= 1 - 0.8944](https://tex.z-dn.net/?f=P%28x%3E66%29%3D%201%20-%200.8944)
![P(x>66)=0.1056[/tex]for men[tex]P(x>66)](https://tex.z-dn.net/?f=P%28x%3E66%29%3D0.1056%5B%2Ftex%3C%2Fstrong%3E%5D%3C%2Fp%3E%3Cp%3Efor%20men%3C%2Fp%3E%3Cp%3E%5Btex%5DP%28x%3E66%29%20)
![P(x>66) = 1-P( \dfrac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=P%28x%3E66%29%20%3D%201-P%28%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B66-70%7D%7B2.5%7D%29)
![P(x>66) = 1-P( z](https://tex.z-dn.net/?f=P%28x%3E66%29%20%3D%201-P%28%20z%3C%5Cdfrac%7B-4%7D%7B2.5%7D%29)
![P(x>66) = 1-P( z](https://tex.z-dn.net/?f=P%28x%3E66%29%20%3D%201-P%28%20z%3C-1.6%29)
using z-table
![P(x>66)= 1 - 0.0548](https://tex.z-dn.net/?f=P%28x%3E66%29%3D%201%20-%200.0548)
![P(x>66)=0.9452](https://tex.z-dn.net/?f=P%28x%3E66%29%3D0.9452)