Answer:
(13/2) cm
Step-by-step explanation:
The hypotenuse here is of length 13 cm. The shorter leg lies opposite to the 30° angle. Recall that the sine function is defined as
opposite side
sin Ф = -----------------------
hypotenuse
which, in this case, works out to:
opposite side
sin 30° = -----------------------
13 cm
and so the length of the opposite side (which is also the "shorter leg") is
shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm
62 divided by 495 is 0.125252525...
so we know its repeating
irrational numbers are any numbers that can’t be written as fractions or asdecimals that terminate or repeat.
so we know that it is a rational number
so the answer is A
Let the lengths of pregnancies be X
X follows normal distribution with mean 268 and standard deviation 15 days
z=(X-269)/15
a. P(X>308)
z=(308-269)/15=2.6
thus:
P(X>308)=P(z>2.6)
=1-0.995
=0.005
b] Given that if the length of pregnancy is in lowest is 44%, then the baby is premature. We need to find the length that separates the premature babies from those who are not premature.
P(X<x)=0.44
P(Z<z)=0.44
z=-0.15
thus the value of x will be found as follows:
-0.05=(x-269)/15
-0.05(15)=x-269
-0.75=x-269
x=-0.75+269
x=268.78
The length that separates premature babies from those who are not premature is 268.78 days
