Answer:
<u><em>canvases over weeks
</em></u>
<u><em>
</em></u>
<u><em>Step-by-step explanation:
</em></u>
<u><em>
</em></u>
<u><em>Given:
</em></u>
<u><em>
</em></u>
<u><em>w(h) represents how many hours per week
</em></u>
<u><em>
</em></u>
<u><em>c(t) approximates how many canvases she paints per hour
</em></u>
<u><em>
</em></u>
<u><em>In function composition, if we have two function f(x) and g(x) then
</em></u>
<u><em>
</em></u>
<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g.
</em></u>
<u><em>
</em></u>
<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!
She buys 2 boxes each week for a year (there is 52 weeks in a year) = 2 x 52 = 104 boxes per year
if each box contains 8 granola bars...and she buys 104 boxes, then she buys:
104 * 8 = 832 granola bars
Answer:
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
It would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Step-by-step explanation:
We have these following probabilities.
A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so
.
In addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male.
is the probability that the person is a male, given that he/she jogs. So ![P(B/A) = 0.156](https://tex.z-dn.net/?f=P%28B%2FA%29%20%3D%200.156)
The Bayes theorem states that:
![P(B/A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%2FA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
In which
is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.
So
![P(A \cap B) = P(A).P(B/A) = 0.156*0.139 = 0.217](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20P%28A%29.P%28B%2FA%29%20%3D%200.156%2A0.139%20%3D%200.217)
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
A probability is unusual when it is smaller than 5%.
So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Answer:
Step-by-step explanation:
3) Sales tax rate = ![\frac{42.42}{499}*100](https://tex.z-dn.net/?f=%5Cfrac%7B42.42%7D%7B499%7D%2A100)
= 8.50
= 9%
4) Rate of commission = ![\frac{1400}{28000}*100](https://tex.z-dn.net/?f=%5Cfrac%7B1400%7D%7B28000%7D%2A100)
= 5 %
5) Reduction = ![\frac{30}{100}*5000](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%2A5000)
=$ 1500
New price = 5000 - 1500
= $ 3500
<span>Kendall's birthday money = Joshua's birthday money</span>