Answer:
Step-by-step explanation:
1. get rid of your parenthesis
2. in order to do so you must look inside of the parenthesis and check if you have any like terms if so combine them
3. next use the distribution property or otherwise known as the rainbow
4. if you have an exponent to the right of your parenthesis then use the exponent rule
5. combine like terms by adding coefficients
6. finally combine the constants
So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
Answer:
12 years
Step-by-step explanation:
20-8=12
Micheal's babysitter is 12 years older than Micheal.
Answer:
a. x > 0.2
Step-by-step explanation:
In either order, subtract the left-side constant and divide by the x-coefficient.
3x +2.4 > 3
3x > 0.6 . . . . . . subtract 2.4
x > 0.2 . . . . . . . divide by 3
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or
x + 0.8 > 1 . . . . divide by 3
x > 0.2 . . . . . . . subtract 0.8