Answer:
C
Step-by-step explanation:
It has to be either A or C because the function is decreasing as you move left to right, this only occurs when the number inside parenthesis is less than 1.
It isn't A because if you plug in x=0, the value is 2, but on the graph it is greater than 2.
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Answer:
a. About 64
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 5
Use the empirical rule to determine the number of students who scored less than 65 or more than 75?
65 = 70 - 5
So 65 is one standard deviation below the mean
75 = 70 + 5
So 75 is one standard deviation above the mean.
By the Empirical Rule, 68% of the students scored between 65 and 75. The other 100-68 = 32% scored less than 65 or more than 75.
Out of 200, that is
0.32*200 = 64
So the correct answer is:
a. About 64
Answer:
j1= -9 j2= 9
Step-by-step explanation:
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
__
This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
Answer:
Step-by-step explanation:
10a-15b