Answer:
The probability is 0.953
Step-by-step explanation:
We know that the mean is:
The standard deviation is:
The Z-score is:
We seek to find
The Z-score is:
The score of Z =-2 means that 10:00 p.m. is -2 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the condition of 2 deviations from the mean has percentage of 2.35%
and
The score of Z =2 means that 11:00 p.m. is 2 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the condition of 2 deviations from the mean has percentage of 2.35%
Answer:
2.25
Step-by-step explanation:
The computation of the number c that satisfied is shown below:
Given that
Interval = (0,9)
According to the Rolle's mean value theorem,
If f(x) is continuous in {a,b) and it is distinct also
And, f(a) ≠ f(b) so its existance should be at least one value
i.e
After this,
After this,
Put the values of a and b to the above equation
= 2.25
keeping in mind that anything raised at the 0 power, is 1, with the sole exception of 0 itself.
Answer:
Step-by-step explanation:
5). y = 4 - x²
Table for the points on this function will be,
x -2 -1 0 1 2
y 0 3 4 3 0
Therefore, Domain of the function will be: (-∞, ∞)
And Range of the function will be : (-∞, 2]
7).
This function is defined from the values of x ≥ 1
Table for the input-output values of this function is,
x 1 2 5 10 17
y 2 3 4 5 6
Therefore, Domain of the function will be: [1, ∞)
And Range of the function : [2, ∞)