MATHEMATICS COLLEGE

Use any method to multiply (-14ab)(a + 3b - 4c).

Answers

Answer 1

Answer:

Answer:

-14a^2b-42ab^2+56abc

Step-by-step explanation:

You can use the FOIL method

multiply the first numbers

then inner

then outer

then last

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A Popsicle store at the beach is comparing their monthly revenue with the sunglasses store next door. The shop owners find that their monthly revenue is positive correlated. This means that eating Popsicles causes people to buy sunglasses.True or False

Answers

Answer:

False

Step-by-step explanation:

Correlation is not causation.

It may mean that eating popsicles and buying sunglasses have a common cause: sunny days.

Estimate 2/3% of $141

Answers

Answer:

0.94 cents

Step-by-step explanation:

If you multiply 0.67 with 141 you will see that you will end up with the same answer as above.

0.666 estimates to 0.67

A quadrilateral is _____ a trapezoid. (Always, sometimes, never)

Answers

Answer:

sometimes

hope it helps.

Answer:

sometimes

Step-by-step explanation:

The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?OA. Rx) = (x - 1)2
OB. Rx) = (x + 1)2
OC. Rx) = -1(x - 1)
OD. Rx) = -1(x + 1)2
Reset
Next

Answers

Considering it's y-intercept and vertex, the equation of the parabola is given by:

$y = (x - 1)^2$

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

$y = a(x - h)^2 + k$

In which a is the leading coefficient.

In this problem, the vertex is (1,0), hence h = 1, k = 0 and:

$y = a(x - 1)^2$

The y-intercept is of 1, hence, when x = 0, y = 1, so:

$y = a(x - 1)^2$

$1 = a(0 - 1)^2$

$a = 1$

Hence, the equation is:

$y = (x - 1)^2$

More can be learned about the equation of a parabola at brainly.com/question/24737967

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, 0) , thus

y = a(x - 1)² + 0

To find a substitute the coordinates of the y- intercept (0, 1) into the equation

1 = a(- 1)² = a , thus

a = 1

y = (x - 1)² → A

If the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error a. will not change. b. will increase. c. will also increase from .01 to .05. d. will decrease.

Answers

Answer:

d. Decrease

Step-by-step explanation:

A Type II error is when we fail to reject a false null hypothesis. Higher values of α make it easier to reject the null hypothesis, so choosing higher values for α can reduce the probability of a Type II error.

The consequence here is that if the null hypothesis is true, increasing α makes it more likely that we commit a Type I error (rejecting a true null hypothesis).

So using lower values of α can increase the probability of a Type II error.

Final answer:

Raising the level of significance in a hypothesis test from .01 to .05 would decrease the probability of making a Type II error. This is because as we become more accepting of risk in making a Type I error, we simultaneously reduce the risk of making a Type II error.

Explanation:

The level of significance in a hypothesis test is the probability that we are willing to accept for incorrectly rejecting the null hypothesis or making a Type I error. If the level of significance is raised, there is a higher chance we incorrectly reject the null hypothesis, increasing the chances of a Type I error. However, this also has an effect on the probability of committing a Type II error, which is to incorrectly accept the null hypothesis.

Specifically, when the level of significance of a hypothesis test is raised from .01 to .05, the probability of a Type II error (option b) will decrease. The reason for this is that increasing the level of significance or alpha means we are more likely to reject the null hypothesis. As we are more accepting of risk in terms of making a Type I error, we are less likely to make a Type II error, as the two error types often move in opposite directions. Thus, the answer to your question is d. The probability of a Type II error will decrease if the significance level is raised from .01 to .05.