FOIL stands for first, outer, inner, and last.
So, you multiply the first terms together, the outer terms together, the inner terms together, and then the last terms together.
(b+3)(b-9)
b^2-9b+3b-27 Then simplify
b^2-6b-27
Answer:
it is terminating
Step-by-step explanation:
Answer:
h = 6 cm
Step-by-step explanation:
Given that,
The area of a trapezoid, A = 66 cm²
The sum of the lengths of the two bases of a trapezoid is 22 cm.
We need to find the height of the trapezoid.
The area of a trapezium is given by :

Substitute the values,

So, the height of the trapezoid 6 cm.
Answer:
1\times 28=28\\2\times 14=28\\4\times 7=28
Step-by-step explanation: To obtain number 28, we will find the factors of this number.
Factors of this number are: 1, 2, 4, 7, 14, 28
From the given factors, we can find the combinations which will givs us the product as 28
We are asked to find the multiplication ( times) of two number that will yield a number 28. So, the combinations will be
1\times 28=28\\2\times 14=28\\4\times 7=28
Step-by-step explanation:
Using the z-distribution, as we are working with a proportion, it is found that:
a) The population proportion is of 0.625.
b) The interval is (0.586, 0.664).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 99% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.575.
The sample size and the population proportion are given, respectively, by:

Hence, the bounds of the interval are given by:


More can be learned about the z-distribution at brainly.com/question/25890103