Answer:
<em>f(2)=-2</em>
Step-by-step explanation:
<u>Values of a function from a graph</u>
The graph of a function is usually a drawn line that joins a number of points that correspond to the ordered pairs (x,y), where x is a given value, and y is the value calculated through the rule of the function, usually a formula or equation.
If we want to know the value for a specific value of x, we find the corresponding x-coordinate, draw an imaginary vertical line until we meet the graph. The value of y at that point is the required value of the function.
For example, for x=0 the graph crosses the y-axis at y=2, thus the ordered pair is (0,2), and f(0)=2.
For x=2, the function has a value of y=-2, thus:
f(2)=-2
Answer:
Step-by-step explanation:
1000
Using the normal distribution, it is found that:
1. 85% of NBA players are taller than Greg.
2. 15% are shorter.
3. A height of 6'11'' would be needed.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- In inches, considering that a feet has 12 inches, the mean is of .
- The standard deviation is of .
- Greg is 6'3'', that is, X = 6 x 12 + 3 = 75.
Item 1:
The proportion is <u>one subtracted by the p-value of Z</u>, hence:
has a p-value of 0.15
1 - 0.15 = 0.85.
85% of NBA players are taller than Greg.
Item 2:
100 - 85 = 15% are shorter.
Item 3:
This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.
83 = 6 x 12 + 11.
A height of 6'11'' would be needed.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
X^2 - 49 .
Step-by-step explanation:
(X+7)(X-7)
= X(X-7) + 7(X-7)
= X^2 - 7X + 7X - 49
= X^2 - 49 .