The probability that a randomly selected adult has an IQ less than
135 is 0.97725
Step-by-step explanation:
Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ = 105 and a standard deviation sigma equals σ = 15
We need to find the probability that a randomly selected adult has an IQ less than 135
For the probability that X < b;
- Convert b into a z-score using z = (X - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the area to the left of the z-value ⇒ P(X < b)
∵ z = (X - μ)/σ
∵ μ = 105 , σ = 15 and X = 135
∴
- Use z-table to find the area corresponding to z-score of 2
∵ The area to the left of z-score of 2 = 0.97725
∴ P(X < 136) = 0.97725
The probability that a randomly selected adult has an IQ less than
135 is 0.97725
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Question:
Expand and simplify 5(x - 1) - 3(x + 4)
Answer:
1.) Use the distributive property to solve this equation:
5(x - 1) = 5x - 5
3(x + 4) = 3x + 12
2.) Put it in the equation:
5x - 5 - 3x + 12
3.) Group them:
5x - 3x - 5 + 12
4.) Simplify:
2x - 7
which is the answer.
Hope this helped! :))
Answer:
A.) 13
Step-by-step explanation:
Since DB =36, and AC is the same line, then AC = 36. The new equation is 36 = 3x - 3. Do inverse operation. Add 3 to both sides of the equation: 36+3=39 & -3+3=0. New equation is 39=3x. Finally divide. 39/3= 13.
Answer: x=-4
Step-by-step explanation:
1. Simplify:
-(x-1)=5 => -x+1=5
Isolate x:
-x=5-1 => -x=4 => x=-4