Answer:
For the first question: y = x^2
For the second question: y = x^2 - 2x + 1
For the third question: y = x^2 + 2x + 1
For the fourth question: y = x
For the fifth question: y = -x
Hope this helps:) Have a great day!
Answer:
Step-by-step explanation:
i just 17 point for nothink
Answer:
a) 0.3277
b) 0.0128
Step-by-step explanation:
We are given the following information in the question:
N(2750, 560).
Mean, μ = 2750
Standard Deviation, σ = 560
We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:
![z_{score} = \displaystyle\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
a) P (less than 2500 grams)
P(x < 2500)
![P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)](https://tex.z-dn.net/?f=P%28%20x%20%3C%202500%29%20%3D%20P%28%20z%20%3C%20%5Cdisplaystyle%5Cfrac%7B2500%20-%202750%7D%7B560%7D%29%20%3D%20P%28z%20%3C%20-0.4464%29)
Calculation the value from standard normal z table, we have,
![P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%](https://tex.z-dn.net/?f=P%28x%20%3C%202500%29%20%3D%20P%28z%20%3C%20-0.4464%29%20%3D%200.3277%20%3D%2032.77%5C%25)
b) P ((less than 1500 grams)
P(x < 1500)
![P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)](https://tex.z-dn.net/?f=P%28%20x%20%3C%201500%29%20%3D%20P%28%20z%20%3C%20%5Cdisplaystyle%5Cfrac%7B1500%20-%202750%7D%7B560%7D%29%20%3D%20P%28z%20%3C%20-2.2321%29)
Calculation the value from standard normal z table, we have,
![P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%](https://tex.z-dn.net/?f=P%28x%20%3C%201500%29%20%3D%20P%28z%20%3C%20-2.2321%29%20%3D%200.0128%20%3D%201.28%5C%25)
Answer:
(3, - 3 )
Step-by-step explanation:
Given the 2 equations
3x - 5y = 24 → (1)
- 3x - 6y = 9 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
- 11y = 33 ( divide both sides by - 11 )
y = - 3
Substitute y = - 3 into either of the 2 equations and solve for x
Substituting into (1)
3x - 5(- 3) = 24
3x + 15 = 24 ( subtract 15 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 3 )
He has replaced the pitcher 25 times and won 11 times.
Winning percentage = 11/25 = 44%
He kept the starting pitcher in 15 times and won 7 times.
Winning percentage = 7 /15 = 47%
There is a 3% higher chance they would win by replacing the pitcher.
The answer should be C.