Additive property of equality states that:
if a=b, then a+c = b+c,
that is, if 2 quantities of the same value are added the same quantity, they are again equal.
In our problem a=AD, b=DB, and c= CD=DE
thus a+c=b+c means <span>AD + CD = DE + DE,
by the </span><span>Addition Property
Answer: </span><span>Addition Property
</span>
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:
2.99 cm
Step-by-step explanation:
V= 
(pi)(r^3)=113.04cm^3
113.04/ (pi) = r^3 = 26.99
r=![\sqrt[3]{26.99}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B26.99%7D)
= 2.99cm
Answer:
(6,4)
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