Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
$1.80 per pound
The amount she's supposed to buy it is
1.80 × 12.5 = $22.5
She paid $21.25 for the 12.5 pounds, that means she saved
$22.5 - $21.25 = $1.25
the amount she saved per pound is
1.25/12.5 = $0.1 per pound
Answer:
B
Step-by-step explanation:
Cube root 1000x^6 = 10x^2
Cube root of - 27 = 3
So the first part of the factorization process is 10x^2 - 3. There is no help here because all of the answers give this binomial as the first factor.
The second factor is (10x^2)^2 + (3)*10x^2 + 3^2)
Expanding you get 100x^4 + 30x^2 + 9
Be very careful when looking at 100x^4 because that is where the answer is found.
It has to be B
Answer:
-10
Step-by-step explanation:
You always want to solve the inner function first.
g(-2)=(-2)³+3
=-8+3
=-5
g(-2)=-5 so you can replace g(-2) with -5
Now you just have f(-5)
Solve.
f(-5)=-5-5
f(-5)=-10