<span>So we want to know the number of teachers the university should have if the ratio of students to teachers is 14:1 and the number of students is 896. If x is the number of teachers: 14/1=896/x. Now we solve for x: Lets multiply both sides with x: x*(14/1)=896 and divide both sides by 14 and we get: x=896/14 and x=64. So the university should have 64 teachers.</span>
Answer:

Step-by-step explanation:
Given parameters:
Number of white balls = 24
Number of black balls = 16
Unknown:
The probability that white ball is drawn at random = ?
Solution:
The probability of an event is the likelihood of such an event to occur. That an event will occur has a probability of 1, it will not occur have a probability of zero.
In this problem, the total number of outcomes of drawing any ball has sample space of (24 + 16)outcomes = 40outcomes.
Probability of an event = 
Pr(white balls) =
= 
Answer:

Step-by-step explanation:
The parent function is

First it is asked to reflect over the y axis so using the rule

Our function looks like

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

where a is the vertical stretch. So now it would look like

Answer:
24
Step-by-step explanation: