The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%
<h3>What is probability?</h3>
It is a branch of mathematics that deals with the occurrence of a random event.
Given:
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
probability that the person has an IQ greater than 120,
P(x >120)
= P(Z > 120-100/ 15)
= P(Z > 0.667)
P(x >120) = 1- P(Z < 0.667)
= 1-0.7476
= 0.2524
= 25.24%
Hence, the probability is 0.2524.
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M = (7,6)
Step-by-step explanation:
formula to find mindpoint is
(4,2) = (x1, y1)
(10,10) = (x2,y2)
now substitute those into the formula!
now solve for x & y !!
so now that we have solved for x & y put it in point form and your done !!
point for is (x,y)
and thanks why the Midpoint is (7,6)
Y=8.25x+10
10 is the allowance plus the 8.25 times x which is the hours
7 2/6 + 8 5/6
= (7 x 6 + 2)/6 + (8 x 6 + 5)/6
= (42 + 2)/6 + (48 + 5)/6
= 44/6 + 53/6
= (44 + 53)/6
= 97/6
= 16 1/6
Answer:
8. The length of the longest side is 40 ⇒ H
Step-by-step explanation:
8. In the given figure
∵ The triangle has two equal sides 2x + 12 and 5x - 9
→ Equate their expressions to find the value of x
∴ 5x - 9 = 2x + 12
→ Add 9 to both sides
∵ 5x - 9 + 9 = 2x + 12 + 9
∴ 5x = 2x + 21
→ Subtract 2x from both sides
∵ 5x - 2x = 2x - 2x + 21
∴ 3x = 21
→ Divide both sides by 3 to find x
∵ =
∴ x = 7
∵ The longest side is 6x - 2
→ Substitute the value of x in its expression to find its length
∴ The longest side = 6(7) - 2 = 42 - 2
∴ The longest side = 40
∴ The length of the longest side is 40