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:

Answer:
Step-by-step explanation:
If the equation of the of the hyperbola is , then the eccentricity, and the directrices are and the foci are (± ae,0).
Now, given that ae = 4 and ......... (1)
So,
⇒ a² = 8
⇒ a = 2√2 units.
Now, from equation (1) we get, ae = 4
⇒ e = √2 as a = 2√2
Now,
⇒
⇒ b² = 8
Hence, the equation of the hyperbola is
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Answer:
(A) 9
Step-by-step explanation:
Substitute 2 for X

The last option is the correct option.
You basically just have to solve for e.
so multiply each side by 4 first.
that makes it 3e < 96
to get e by itself divide each side by 3.
which you e < 32
Answer:
y=mx+b to find m or the slope, m=the change in y DIVIDED by the change in x or the rise DIVIDED by the run
Step-by-step explanation: