Answer:
A.30x3-3x2-24x+9
Step-by-step explanation
1. Separate the terms in g(x). (6x) (-3)
2. Distribute by multiplying each term in f(x) by (6x).
(6x)(5x2+2x-3)=30x3+12x2-18x
3. Distribute the other term in g(x) to each term in f(x).
(-3)(5x2+2x-3)= -15x2-6x+9
4. Combine the like terms of both answers.
30x3+12x2-18x-15x2-6x+9= <em><u>30x3-3x2-24x+9</u></em>
Number defective=4
number of non-defective=total-defective
=20-4
=16
the questions asked for 1 defective
so we choose only 1 defective from 4 defective items
4C1
and for 1 non-defective
we choose only 1 non-defective from 16 non-defective items
16C1
we choose 2 items from 20 items
so 20C2
answer:
probability= [(4C1) * (16C1)] /(20C2)
=32/95
The second line of eauation y=-2x+5 is parallel to a since both have the same slope which is -
-2
the first line of equation y=2x-1 is neither perpendicular nor parallel to a since the (slope of this line) x (the slope of a) = 2 x -2 = -4 not -1, so they aren't perpendicular and its slope isn't equal to that of a, so they aren't parallel
the last line of equation y=1/2x+7 is perpendicular to a since (the slope of a) x (the slope of this line) = -2 x 1/2 = -1
Answer:
can I be the brainliest answer
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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