Q,# 19 multiply please help
1 answer:
When multiplying two binomials (expressions with two terms), you can use the FOIL method. Our two binomials are (3x - 7) and (3x - 5).
See picture. FOIL is an acronym for First, Outside, Inside, Last. Add the products of the first, outside, inside, and last terms of each binomial to multiply binomials.
For this problem:
1) Multiply the first terms, 3x and 3x.
2) Multiply the outside terms:
3) Multiply the inside terms:
4) Multiply the last terms:
5) Add all the products from FOILing together:
------
Answer: D)
See picture. FOIL is an acronym for First, Outside, Inside, Last. Add the products of the first, outside, inside, and last terms of each binomial to multiply binomials.
For this problem:
1) Multiply the first terms, 3x and 3x.
2) Multiply the outside terms:
3) Multiply the inside terms:
4) Multiply the last terms:
5) Add all the products from FOILing together:
------
Answer: D)
You might be interested in
Answer:
(1) The probability that the sample percentage indicating global warming is having a significant impact on the environment will be between 64% and 69% is 0.3674.
(2) The two population percentages that will contain the sample percentage with probability 90% are 0.57 and 0.73.
(3) The two population percentages that will contain the sample percentage with probability 95% are 0.55 and 0.75.
Step-by-step explanation:
Let <em>X</em> = number of senior professionals who thought that global warming is having a significant impact on the environment.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 100 and <em>p</em> = 0.65.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of <em>p</em> if the following conditions are satisfied:
- np ≥ 10
- n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So, .
(1)
Compute the value of as follows:
Thus, the probability that the sample percentage indicating global warming is having a significant impact on the environment will be between 64% and 69% is 0.3674.
(2)
Let and
be the two population percentages that will contain the sample percentage with probability 90%.
That is,
Then,
The value of <em>z</em> for P (Z < z) = 0.95 is
<em>z</em> = 1.65.
Compute the value of and
as follows:
Thus, the two population percentages that will contain the sample percentage with probability 90% are 0.57 and 0.73.
(3)
Let and
be the two population percentages that will contain the sample percentage with probability 95%.
That is,
Then,
The value of <em>z</em> for P (Z < z) = 0.975 is
<em>z</em> = 1.96.
Compute the value of and
as follows:
Thus, the two population percentages that will contain the sample percentage with probability 95% are 0.55 and 0.75.
Answer:
<h2>The value of the variable x is 1.</h2>Step-by-step explanation:
We know that those elements are equal, which allow us to
Solving for , we have
Therefore, the value of the variable x is 1.