(−3)(a+x), if a=8, x=−10
2 answers:
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Answer:
Step-by-step explanation:
step 1
Find the slope of line L
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
In this problem we have
Isolate the variable y
The slope of the given line is
so
The slope of the Line L is
step 2
Find the x-intercept of the line
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
The x-intercept is the point (5/2,0)
step 3
Find the equation of the line L
Find the equation of the line in point slope form
we have
substitute
Convert to standard form
AX +By+C
where
A is a positive integer
B and C are integers
Multiply both sides by 4
675 people will have score between 85 and 120
Step-by-step explanation:
Given
Mean = 100
SD = 15
If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values
z-score is given by:
for a value x:
So,
For 85:
Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.
So,
For z1 : 0.1587
For z2: 0.9082
The area between z11 and z2:
So the probability of score between 85 and 120 is 0.7495
As the sample is of 900 people, the people with scores between 85 and 120 will be:
900*0.7495 = 674.55 people
Rounding off to nearest whole number
675 people will have score between 85 and 120
Keywords: Probability, SD
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