Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k = =
=
y = x ← equation of proportionality
When x = 40 then
y = × 40 = 48
Answer:
a)
And using the normal distribution table or excel we got:
b)
And we can use the normal standard table or excel in order to find the probability and we got:
Step-by-step explanation:
For this case we know that the random variable of interest is normally distributed with the following parameters:
Part a
We want to find this probability:
And we can use the z score formula given by:
Replacing we got:
And using the normal distribution table or excel we got:
Part b
We select a random sample of size n = 16 and we try to find this probability:
And we can use the z score formula given by:
And replacing we got:
And we can use the normal standard table or excel in order to find the probability and we got: