Answer:
2.28% probability that a person selected at random will have an IQ of 110 or greater
Step-by-step explanation:
Problems of normally distributed samples are 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:

What is the probability that a person selected at random will have an IQ of 110 or greater?
This is 1 subtracted by the pvalue of Z when X = 110. So



has a pvalue of 0.9772
1 - 0.9772 = 0.0228
2.28% probability that a person selected at random will have an IQ of 110 or greater
Answer:
54 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is
A =
( s is the side length ) then
= 81
( multiply both sides by 4 to clear the fraction )
s²
= 324
( divide both sides by
)
s² = 324 ( take the square root of both sides )
s =
= 18
Thus
perimeter = 3 × 18 = 54 cm
The answer is:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
Answer:
The answer to your question is
or (-∞ , 9/10]
Step-by-step explanation:
To solve inequality is similar to solve and equation, we just need to find the values of "k" in order than the inequality be true.

Solve for "k"



Then the answer is
or (-∞ , 9/10]
Answer:
Reflection
Step-by-step explanation: