Answer:
B: (x + 2)(x - 3)^2
Step-by-step explanation:
This is only going to have 3 roots. One of them is (x - 3)
D does not look right. So let's solve it using synthetic division.
3 || 1 - 4 -3 18
3 -3 -18
========================
1 -1 -6 0
So what you have is a quadratic
- x^2 - x - 6 = 0 which will factor
- (x - 3)(x + 2) = 0
- x - 3 = 0
- x = 3
- x + 2 =0
- x = - 2
- (x - 3)(x - 3)(x + 2 ) = 0
The answer is B
This problem can be divided into two parts Part 1 - income up to $10,000 times 10% = $1,000 Part 2 - income over $10,000 = $15,000 - 10,000 = $5,000then, $5,000 times 20% = $1,000 Finally, $1,000 + 1,000 = $2,000
Number of outcomes of rolling a die = 6
Number of outcomes from the spinner = 8
First we have to draw the 6 leaves to represent the 6 outcomes of rolling the die. Next on each of these leaves 8 possible outcomes of the spinner will be drawn using leaves.
So 6 leaves are being divided into further 8 leaves.
Thus total number of leaves will be = 6 x 8 = 48 leaves
Therefore, the correct answer is option D
Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
<h3>What are the hypotheses tested?</h3>
At the null hypotheses, it is tested if the mean is of 150, that is:
At the alternative hypotheses, it is tested if the mean is different of 150, hence:
.
The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
More can be learned about confidence intervals at brainly.com/question/25890103
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