Answer:
A) 1/3200000
B) 19/20
Step-by-step explanation:
Percentage population of graduates = 5
Proportion of graduates from 100 random samples = percentage × number of samples
Proportion of graduates = 0.05 × 100 = 5
Probability of having 5 graduates among the 100 random samples:
P(1 graduate) = possible outcome / total required outcome
P(1 graduate) = (5 / 100) = 1/20
P(5 graduates) = (1/20)^5
P(5 graduates) = 1/3200000
Probability of never being a graduate = (1 - probability of being a graduate)
Probability of never being a graduate = ( 1 - (1/20)) = 19/20
The answer to the questions
I think you would divide 16,000 gallons per hour by, 12 hours.
First of all, you have to understand

<span> is a square-root function.
</span>Square-root functions are continuous across their entire domain, and their domain is all real x-<span>values for which the expression within the square-root is non-negative.
</span>
In other words, for any square-root function

and any input

in the domain of

(except for its endpoint), we know that this equality holds:
Let's take

<span>as an example.
</span>
The domain of

is all real numbers such that

. Since

is the endpoint of the domain, the two-sided limit at that point doesn't exist (you can't approach

<span>from the left).
</span>
<span>However, continuity at an endpoint only demands that the one-sided limit is equal to the function's value:
</span>
In conclusion, the equality

holds for any square-root function

and any real number

in the domain of

e<span>xcept for its endpoint, where the two-sided limit should be replaced with a one-sided limit. </span>
The input

, is within the domain of

<span>.
</span>
Therefore, in order to find

we can simply evaluate

at

<span>.
</span>
Answer:
Joan's older sister weighs 90 pounds
Step-by-step explanation:
x = older sister
x - 10 = Joan
(x + (x-10))/2 = 85
2x - 10 = 170
2x = 180
x = 90