Answer:
2.87%
Step-by-step explanation:
We have the following information:
mean (m) = 200
standard deviation (sd) = 50
sample size = n = 40
the probability that their mean is above 21.5 is determined as follows:
P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]
P (x> 21.5) = P (z> -22.57)
this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:
P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]
P (x> 215) = P (z> 1.897)
P (x> 215) = 1 - P (z <1.897)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) =.0287
Therefore the probability is approximately 2.87%
Answer:
The picture is not up. May you please upload it. Thank you:)
Step-by-step explanation:
Answer:
<h2>S.A. = 225 ft²</h2>
Step-by-step explanation:
We have
the rectangle 12ft × 6ft
two triangles with the base b = 12ft and the height h = 8ft
two triangles with the base b = 6ft and the height h = 9.5ft.
The formula of an area of a rectangle l × w:
Substitute:
The formula of an area of a triangle:
Substitute:
The Surface Area:
Substitute:
Answer: 349.6 gallons
Step-by-step explanation:
This is a simple proportion problems.
The flow rate = 87 . 4 gallons was dispensed in 15 minutes
That is 15 minutes = 87.4 gallons
Therefore 1 minute = ( 87.4/15 ) gallons
Recall 60 minutes = 1 hour
Now in 60 minute = (87.4/15 ×60/1 ) gallons
= 87.4 × 4
= 349.6 gallons
(Invariably) , Alternative method
15 minutes. = 1/4 of an hour 1/4 = 87 .4 gallons. A gallon. = 87.4/1/4
Recall that reciprocal of 1/4 = 4
Now = 87 .4/1/4
=87.4 × 4
Therefore 1 hour = 87.4 × 4 × 1
= 349 . 6 gallons
