Jenny had $168.
She spends $18 per week (w).
The amount being spent each week is 18w.
She is spending that money, so the number will be going down.
168 - 18w
Answer:
Step-by-step explanation:
<u>Solve each inequality and find the common set:</u>
- 2x - 5 > - 11 ⇒ 2x > 5 - 11 ⇒ 2x > - 6 ⇒ x > - 3
- -10x - 6 ≥ 44 ⇒ - 10x ≥ 6 + 44 ⇒ - 10x ≥ 50 ⇒ x ≤ - 5
<u>Solution interval:</u>
There is no solution to system to show on the number line
Missing part of the question
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................
Answer:



Step-by-step explanation:
Given


Solving (a): The probability distribution of x
We have:


The probability of not having earthquake insurance (q) is:


If x has insurance, then n - x do not.
The distribution follows a binomial pattern. So, the probability distribution is:

Substitute 4 for n

Solving (b): The most likely value of x i.e. The mean
We have:
and




Solving (c): At least 2 of 4 selected have earthquake insurance.
This is calculated as







So:



--- approximated
Remember that -csc^2(x) is a known derivative; it is the derivative of cot(x).
<span>Keeping that in mind, let's put a negative there, and then offset it with another negative, which can conveniently be placed outside of the integral. </span>
<span>(-1) Integral ( -csc^2(x) dx ) </span>
<span>Which evaluates to </span>
<span>(-1) cot(x) + C </span>
<span>-cot(x) + C</span>