probability that the persons IQ falls between 110 and 130 is 0.2286 .
<u>Step-by-step explanation:</u>
Step 1: Sketch the curve.
The probability that 110<X<130 is equal to the blue area under the curve.
Step 2:
Since μ=100 and σ=15 we have:
P ( 110 < X < 130 )=P ( 110−100 < X−μ < 130−100 )
⇒ P ( (110−100)/15< (X−μ)/σ<(130−100)/15)
Since Z = (x−μ)/σ , (110−100)/15 = 0.67 and (130−100)/15 = 2 we have:
P ( 110<X<130 ) = P ( 0.67<Z<2 )
Step 3: Use the standard normal table to conclude that:
P ( 0.67<Z<2 )=0.2286
Therefore, probability that the persons IQ falls between 110 and 130 is 0.2286 .
Answer:
-1 1/9
Step-by-step explanation:
2x + 7x = -10 (equation)
9x = -10 (combine like terms)
x = -10/9 (move the 9 over)
x = -1 1/9 (simplify)
Answer:
≈ 18 cm
Step-by-step explanation:
1. Find the length of half a circle of radius 3.5 cm:
2. Find the length of the diameter:
D = 2r = 2 · 3.5 = 7 cm
3. Find the perimeter of the figure:
P = 10.99 + 7 = 17.99 ≈ 18 cm
This cannot be simplyfied
Answer:
n=15
Step-by-step explanation:
7+(4+6)=7+n
28+6=7+n
22=7+n
22-7=n
15=n
