The probability that the next 4 winners will all be 7th grade students is 3/4
Answer: 15 ft
Step-by-step explanation:
I took the test :)
P
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okay since the first step is parenthesis, the next step would be exponents but you have none so you skip to multiplication, then you divide
divide is your answer
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%
Shifts:
Shifted three units right and two units up to match the blue parabola
Stretches:
It doesn't have any stretches
Symmetry:

x and y intercepts:
x intercpets: It has no x-intercepts
y-intercepts: (0, 11)
<h2>
Explanation:</h2>
The pattern of the quadratic function is:

Whose graph is shown below as the red parabola.
So here we need to identify some characteristics of:

Whose graph is shown below as the blue parabola.
As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:
- The red parabola has been shifted three units right and two units up to match the blue parabola.
This is so because, for any function:

We have the following transformations:

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is
. The y-intercept is (0, 11) is indicated in the figure.
<h2>Learn more:</h2>
Shifting graphs: brainly.com/question/10010217
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