What fractions are the same
2 answers:
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Answer:
height = 11.5 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = h(a + b)
where h is the height and a, b the bases
here a = 21, b = 8 and A = 166.75, hence
h(21 + 8) = 166.75
Multiply both sides by 2 to eliminate the fraction
29h = 333.5 ( divide both sides by 29 )
h = 11.5 in
Given mean = 0 C and standard deviation = 1.00
To find probability that a random selected thermometer read less than 0.53, we need to find z-value corresponding to 0.53 first.
z=
So, P(x<0.53) = P(z<0.53) = 0.701944
Similarly P(x>-1.11)=P(z>-1.11) = 1-P(z<-1.11) = 0.8665
For finding probability for in between values, we have to subtract smaller one from larger one.
P(1.00<x<2.25) = P(1.00<z<2.25) = P(z<2.25)- P(z<1.00) = 0.9878 - 0.8413 = 0.1465
P(x>1.71) = P(z>1.71) = 1-P(z<1.71) = 1-0.9564 = 0.0436
P(x<-0.23 or x>0.23) = P(z<-0.23 or z>0.23) =P(z<-0.23)+P(z>0.23) = 0.409+0.409 = 0.918