Marsha’s scores on seven tests were: 82, 78, 77, 93, 85, 91, and 86. What does she need to score on her next test to have an 86
1 answer:
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Answer:
The required probability is 0.94
Step-by-step explanation:
Consider the provided information.
There are 400 refrigerators, of which 40 have defective compressors.
Therefore N = 400 and X = 40
The probability of defective compressors is:
It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,
That means n=15
Apply the probability density function.
We need to find P(X ≤ 3)
Hence, the required probability is 0.94
<u>ANSWER: </u>
The slope intercept form of the required line is y = -2x + 20.
<u>SOLUTION: </u>
Given, line equation is
And, Perpendicular line to the given line passes through (7,-6).
We need to find the slope intercept form of perpendicular line of given line.
We already have the point (7, -6) but we need to find the slope.
Now, we know that, product of slopes of two perpendicular lines equals to -1.
Slope of given line is , by comparing with the general form of slope intercept form.
slope of required line = -1
Slope of perpendicular line = -2
Now, line equation of perpendicular line in point slope form is
y – (-6) = -2(x – 7)
y + 6 = -2x + 14
y = -2x + 20
the above equation is in the form of slope intercept form of a line equation
where slope m = -2 and intercept c = 20
hence, the slope intercept form of the required line is y = -2x + 20.