There are 32 students in a class. Of the class, 3/8 of the students bring their own lunches. How many students bring their lunch
1 answer:
Answer:
The number of students that bring their lunches is 12
Step-by-step explanation:
Let
x -----> the number of students that bring their lunches
y -----> the total number of students in a class
we know that
The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8
-----> equation A
-----> equation B
substitute the value of y in equation A and solve for x
therefore
The number of students that bring their lunches is 12
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Answer: a. 170 b. 752
Step-by-step explanation:
The formula to find the sample size is given by :-
, where p is the prior estimate of population proportion.
= Two-tailed z-value for
(significance level).
E= Margin of error .
Given : Margin of error = 0.03
Confidence level = 90%=0.90
By z-value table :
a) The president's political advisors estimated the proportion supporting the current policy to be : p= 0.06.
Required sample size :
∴ Required sample size = 170
b) If no prior estimate of population proportion is given , then we assume
p= 0.5
Required sample size :
∴ Required sample size = 752
Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7
Step-by-step explanation:
We need to find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2
The formula used to find the change of average rate is:
Where b= -2 and a= -5
Finding f(b) and f(a)
f(b)=f(-2)=(-2)^2+2=4+2=6
f(a)=f(-5)=(-5)^2+2=25+2=27
Putting values in the formula:
Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7
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