Since there is an expression in the square root, it must be non-negative. So:
Then, the interval is:
![\boxed{x\in~]-\infty,4]}](https://tex.z-dn.net/?f=%20%5Cboxed%7Bx%5Cin~%5D-%5Cinfty%2C4%5D%7D)
Then, the interval is:
If the base and height increase by a factor of 2, what would be the effect on the area of the triangle?
1 answer:
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Answer:
d. P(x = 0) = .50
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
a. P(x < 2) = .9772
This is the p-value of Z = 2.
Looking at the z-table, Z = 2 has a p-value of 0.9772, and thus, this probability is correct.
b. P(x ≥ 1) = .1587
This is 1 subtracted by the p-value of Z = 1.
Looking at the z-table, Z = 1 has a p-value of 0.8413.
1 - 0.8413 = 0.1587, and so, this probability is correct.
c. P(x ≤ 1) = .8413
This is the p-value of Z = 1, that is, 0.8413, so this is correct.
d. P(x = 0) = .50
The probability of an exact value on the normal distribution is 0, and thus, option d is wrong and is the answer to this question.
The length of one segment is 15 cm and other segment is 60 cm
Step-by-step explanation:
Let x be the length of one segment and y be the length of other segment
Then according to given statement
x+y=75 Eqn 1
And
one the segments are four times the other
x=4y Eqn 2
Hence,
The length of one segment is 15 cm and other segment is 60 cm
Keywords: Linear Equation, Variables
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