option C is correct.
<u>Step-by-step explanation:</u>
If a function is defined as
where, a>0, then the range of the function is greater than 0.
.... (1)
Option A: Using inequity (1),

Multiply both side by 3.

The range of first function is y>0. Therefore option A is incorrect.
Option B: Using inequity (1),

Multiply both side by 2.

The range of second function is y>0. Therefore option B is incorrect.
Option C: Using inequity (1),

Multiply both side by -1.

Add 3 on both the sides.


The range of first function is y<3. Therefore option C is correct.
Option D: Using inequity (1),

Subtract 3 from both the sides.


The range of second function is y>-3. Therefore option D is incorrect.
Answer:
Yes, the x value is increasing by one every time, and the y value is decreasing by 3 every time.
Step-by-step explanation:
Answer: h = 17
Step-by-step explanation: As a general rule, if an equation has any fractions in it, try to get rid of those fractions as soon as possible.
The quickest way to get rid of a fraction is to multiply both
sides of the equation by the denominator of the fraction.
So in this problem, we can get rid of the fraction in our
first step by multiplying both sides of the equation by 4.
On the left, the 4's cancel and on the right, 1(4) is 4.
Now we have h - 13 = 4.
Since 13 is being subtracted from <em>h</em>, to get <em>h</em> by itself,
we need to add 13 to both sides of the equation to get h = 17.
Now, we can check our answer by plugging 17 back
into the original equation shown below in italics.


Answer:
0.589
Step-by-step explanation:
THis is a conditional probability question. Let's look at the formula first:
P (A | B) = P(A∩B)/P(B)
" | " means "given that".
So, it means, the <u><em>"Probabilty A given that B is equal to Probability A intersection B divided by probability of B."</em></u>
<u><em /></u>
So we want to know P (Female | Undergraduate ). This in formula is:
P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)
Now,
P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,
P (Female ∩ Undergraduate) = 0.43
Also,
P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73
<em>plugging into the formula we get:</em>
P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)
=0.43/0.73 = 0.589
this is the answer.