Answer:
-3x^2 - 21x
Step-by-step explanation:
This question is representing multiplying two functions :
We are finding f(x) * g(x)
We know that f(x) is -3x and g(x) is x + 7, therefore :
(-3x)(x + 7)
Follow FOIL :
First :
(-3x)(x)
-3x^2
Outer :
(-3x)(7)
-21x
Therefore the answer is :
-3x^2 - 21x
Answer:
Option D.
Step-by-step explanation:
The given statement is

x-4 is difference between x and 4.
|x-4| distance from x because distance can not be negative.
Inequality sign "<" means less than.
represent all values of x whose distance from 4 is less than 0.5.
Therefore, the correct option is D.
Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it i tested if the mean difference remains the same, that is:

At the alternative hypotheses, it is tested if it has decreased, hence:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
The parameters are given as follows:
.
Hence the test statistic is given by:


More can be learned about the t-distribution at brainly.com/question/16162795
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Answer:
yes
Step-by-step explanation:
yes it is im pretty sure
Answer:
0.912
Step-by-step explanation:
<em>The complete question is attached.</em>
<em />
"OR" in probability means "ADDITION". So we find the individual probabilities and "ADD" them.
P(Plan A) would be the total people for plan A (add up column of Plan A) divided by total number of people [add up all the numbers].
Looking at the table, we have:
P (Plan A) = 38/68
Now,
P(40-49 Group) can be found by adding up the row of 40-49 age group and dividing by the total. So, we have:
P(40 - 49 Group) = 24/68
Now, adding up both:
38/68 + 24/68 = 62/68 = 0.912