Answer:
a.) -1 < x < 5
b.) x <= 1
Step-by-step explanation: Domain is the independent variable (x).
For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.
a.) y = √ x + 1 /√ 25 − x^2
Domain : -1 < x < 5
That is the minimum value for x is 0 and the maximum value is 4
b. f(x) = (√ 1 − x ) ln x
Domain : x <= 1
That is, x is less than or equal to 1
The maximum value for x is 1. x can be
1, 0, -1, -2, -3, ..........
The next step is to draw an arc with center E.
F(-5)=(1 - 4(-5) +1 )
=1+20+1
F(-5)=22
Answer:
2y+15
Step-by-step explanation:
y+(15+y)
y+15+y
(y+y)+15
2y+15
Answer:
0.0668
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the probability that the diameter of a selected bearing is greater than 129 millimeters.
This is 1 subtracted by the pvalue of Z when X = 129. So



has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% probability that the diameter of a selected bearing is greater than 129 millimeters.