Answer:
The proportion of children that have an index of at least 110 is 0.0478.
Step-by-step explanation:
The given distribution has a mean of 90 and a standard deviation of 12.
Therefore mean, 
= 90 and standard deviation, 
= 12.
It is given to find the proportion of children having an index of at least 110.
We can take the variable to be analysed to be x = 110.
Therefore we have to find p(x < 110), which is left tailed.
Using the formula for z which is p( Z < 
) we get p(Z < 
= 1.67).
So we have to find p(Z ≥ 1.67) = 1 - p(Z < 1.67)
Using the Z - table we can calculate p(Z < 1.67) = 0.9522.
Therefore p(Z ≥ 1.67) = 1 - 0.9522 = 0.0478
Therefore the proportion of children that have an index of at least 110 is 0.0478
I attached a picture with equation because it is easier than attempting to type it out.
Answer:
24 hours
Step-by-step explanation:
set up a ratio:
12 miles = 16 hours
------------- ------------
18 miles = x hours
cross multiply
12m * x = 16h * 18 m
solve for x
x=16h * 18m / 12m = 24 hours
Answer:
w<33/4
Step-by-step explanation:
8w-35<3-(5-4w)
8w-35<3-5+4w
8w-35<-2+4w
8w-4w-35<-2
4w-35<-2
4w<-2+35
4w<33
w<33/4
Answer:
85.95 km
Step-by-step explanation:
Given that,
Alberto ran 45 kilometers on Monday.
On Tuesday, he runs 91% of the distance he ran on Monday.
We need to find how far did he run on Tuesday. It can be given by :
So, he run 85.95 km on Tuesday.
