Answer:
E 0.923
Step-by-step explanation:
The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:
, Where μ is the mean, σ is the standard deviation and x is the value.
Given that:
σ = 7, μ = 80 and x = 90
From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923
The last part answers the first part for you, just look at the y-values.
In other words:
<em>A'</em><em> </em>(-8, 2)
<em>B'</em> (-4, 3)
<em>C'</em> (-2, 8)
<em>D'</em> (-10, 6)
Explanation:
When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.
This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.
Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.
<em>A'</em><em>'</em> (8, 2)
<em>B'</em><em>'</em> (4, 3)
<em>C'</em><em>'</em> (2, 8)
<em>D'</em><em>'</em> (10, 6)
Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.
Well now she has $4.25 lol. She had $4 then, now she has $4.25.
Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.
<h3>What is the function for the ball's height?</h3>
The height when x feet are traveled is given by:
h(x) = -0.5x² + 6x + 4.
When the height is of 20 meters, we have that h(x) = 20, hence:
20 = -0.5x² + 6x + 4.
0.5x² - 6x + 16 = 0
x² - 12x + 32 = 0
(x - 8)(x - 4) = 0
For the first time: x - 4 = 0 -> x = 4.
The snowball traveled 4 feet when the height is 20 feet.
More can be learned about functions at brainly.com/question/25537936
