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:
w= -52
Step-by-step explanation:
We simplify the equation to the form, which is simple to understand
15-w/4=28
Simplifying:
15-0.25w=28
We move all terms containing w to the left and all other terms to the right.
-0.25w=+28-15
We simplify left and right side of the equation.
-0.25w=+13
We divide both sides of the equation by -0.25 to get w.
w= -52
Hope it Helps :) !!
45/100 × 115 = 51.75...........
Answer:
769/70
Step-by-step explanation:
5 2/7 = 37/7
5 7/10 = 57/10
The lowest common multiple is 70
37*10/(7 * 10) = 370/70
57/10 = 57*7/(7*10) = 399/70
Now add
370/70 + 399/70
769/70
Is 769 prime? I think it might be.
Yes it is.
Y=6x-11
-2x-3y=-7
Take "6x-11" and insert it where it says 3y. Now you have:
-2x-3(6x-11)=-7
Use distributive property (-3 × 6x) ( -3 × -11). Now you have:
-2x-18x+33=-7
Combine like terms. (-2x + -18x). Now you have:
-20x+33=-7
Subtract 33 from both sides (33-33 and -7-33). Now you have:
-20x=-40
Divide -20 from both sides (-20x/20 and -40/-20). Now you have:
Answer: x= 2
