Answer:
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Step-by-step explanation:
According to the given data we have the following:
mean = μ= 22
standard deviation = σ = 2
n = 100
μx = 22
σx=σ/√n=2/√100=0.2
Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2
=P(z<-1)
= 0.159
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Answer:
x=1 and y= -4
Step-by-step explanation:
step one: plug -4x into y in thi]e first equation.
2x+5(-4)= -18
step two: solve for x
2x-20= -18
(add 20 to both sides to eliminate -20 on the right)
2x=2
(divide both sides by 2 to get x by its self)
x=1
step 3: now that we found the value for x plug it in to either equation and solve for y
y= -4x
y= -4(1)
y= -4
Answer:
Step-by-step explanation:
Notice that KL = LM and PQ = QR since OL and OQ are perpendicular to both KM and PR.
It follows that QR = (1/2) PR = 20 cm. We also know that MR = 21.
Now in order to solve the problem we just need OQ=OL
Therefore the perimeter of the pentagon is
Answer:
60 lightbulbs
Step-by-step explanation:
1500 * 0.04 = 60
