Answer:
15students per 1 teacher
9 student per 1 tutor.
8 tutors for 72 students
Step-by-step explanation:
From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students
✓ 4 teachers for every 60 students
4teacher =60students
Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.
✓3 tutors for every 27 students,
3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.
How many students does the academy have
per teacher?
15students per 1 teacher
Per tutor?
9 student per 1 tutor.
How many tutors does the academy need if it has 72 students?
Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,
9 student = 1 tutor.
72 students= X tutor
If we cross multiply we have
72=9X
X=8 tutors
Therefore, we need 8 tutors for 72 students
Answer: B. f(x)=(x+4)(x-2)^2(x+3)
Step-by-step explanation:
in the graph there's two negative x value and one positive x value
so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)
the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))
Answer:
Mean = 94
Standard deviation = 1.12
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation, which is also called standard error 
In this problem, we have that:
By the Central Limit Theorem
The sampling distribution of the sample mean is going to be normally distributed, beause the size of the samples are 80, which is larger than 30.
Mean = 94
Standard deviation:
Step-by-step explanation:
3^(-3) * 10^(-2)
= 1/27 * 1/100
= 1/2700.
So what i would do would be put 275/1000 then keep simplifying so 55/200, then 11/40 since 11/40 cant be reduced 11/40 would be your answer
:)
