Answer:
2/3
Step-by-step explanation:
You have 6 letters, and 4 of them are consonants, so:
4/6 simplify it by 2:
2/3
Using the interpretation of the confidence interval, the correct option is:
We are 95% confident that those who studied had a higher passing rate than those who did not study.
<h3>What is the interpretation of a x% confidence interval?</h3>
It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
The confidence interval of the difference is:
(0.005, 0.125).
Since the entire interval is positive, the correct option is:
We are 95% confident that those who studied had a higher passing rate than those who did not study.
More can be learned about confidence intervals at brainly.com/question/25890103
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Answer:
0.1426 = 14.26% probability that at least one of the births results in a defect.
Step-by-step explanation:
For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).
This means that 
A local hospital randomly selects five births.
This means that 
What is the probability that at least one of the births results in a defect?
This is:

In which



0.1426 = 14.26% probability that at least one of the births results in a defect.
I have no idea what the lines mean :(
Answer:
we know that
[the lateral area of a right circular cone]=pi*r*l
where
r--------------> the radius of the circle part of the cone
l--------------> the side (slant height) of the cone
r=6 ft
h=8 ft
Step 1
find the slant height of the cone
which is determined by using Pythagoras, since the cross section is a right triangle.
l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft
Step 2
find the lateral area
[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²
the answer is 188.4 ft²