Answer:
50 inches
Step-by-step explanation:
Hi there!
where l is the length of the rectangle and w is the width of the rectangle
Plug in the length (15 inches) and width (10 inches)

Therefore, the perimeter of the frame is 50 inches.
I hope this helps!
Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)
ii) Then p=(2/3) as n=8
iii) 0.06828
Step-by-step explanation:
Use binomial distribution:
Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.
Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.
So for 3 out of 8, it means x=3 and n=8.
Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828
We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271