Answer:
Step-by-step explanation:
6y+4-3y=-5+y+17
6y-3y-y= -5+17-4
2y=8
y=4
Answer:
∠ 2 = 140°
Step-by-step explanation:
the left base angle in the triangle and 110° are a linear pair and sum to 180°
base angle + 110° = 180° ( subtract 110° from both sides )
base angle = 70°
the 2 sides of the triangle are congruent so Δ is isosceles with base angles congruent.
the vertex of the Δ is then
(180 - 70 - 70)° = 180° - 140° = 40°
the vertex and ∠ 2 are a linear pair and sum to 180° , that is
∠ 2 + 40° = 180° ( subtract 40° from both sides )
∠ 2 = 140°
Answer:
Step-by-step explanation:
From the information given:
mean life span of a brand of automobile = 35,000
standard deviation of a brand of automobile = 2250 miles.
the z-score that corresponds to each life span are as follows.
the standard z- score formula is:
![z = \dfrac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D)
For x = 34000
![z = \dfrac{34000 - 35000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B34000%20-%2035000%7D%7B2250%7D)
![z = \dfrac{-1000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B-1000%7D%7B2250%7D)
z = −0.4444
For x = 37000
![z = \dfrac{37000 - 35000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B37000%20-%2035000%7D%7B2250%7D)
![z = \dfrac{2000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B2000%7D%7B2250%7D)
z = 0.8889
For x = 3000
![z = \dfrac{30000 - 35000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B30000%20-%2035000%7D%7B2250%7D)
![z = \dfrac{-5000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B-5000%7D%7B2250%7D)
z = -2.222
From the above z- score that corresponds to their life span; it is glaring that the tire with the life span 30,000 miles has an unusually short life span.
For x = 30,500
![z = \dfrac{30500 - 35000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B30500%20-%2035000%7D%7B2250%7D)
![z = \dfrac{-4500}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B-4500%7D%7B2250%7D)
z = -2
P(z) = P(-2)
Using excel function (=NORMDIST -2)
P(z) = 0.022750132
P(z) = 2.28th percentile
For x = 37250
![z = \dfrac{37250 - 35000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B37250%20-%2035000%7D%7B2250%7D)
![z = \dfrac{2250}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B2250%7D%7B2250%7D)
z = 1
Using excel function (=NORMDIST 1)
P(z) = 0.841344746
P(z) = 84.14th percentile
For x = 35000
![z = \dfrac{35000- 35000}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B35000-%2035000%7D%7B2250%7D)
![z = \dfrac{0}{2250}](https://tex.z-dn.net/?f=z%20%3D%20%5Cdfrac%7B0%7D%7B2250%7D)
z = 0
Using excel function (=NORMDIST 0)
P(z) = 0.5
P(z) = 50th percentile
Answer:
C.92
Step-by-step explanation:
I don't know just random picking sorry
Answer:
i dont what it is can u tell me
Step-by-step explanation: