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stepladder [879]
3 years ago
15

A spinner is spun twice. it has a 3, 5, 7, & 9 on it. how many outcomes could produce a product greater than 21?

Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

A

Step-by-step explanation:

What numbers on both spins would create a PRODUCT GREATER THAN 21?

3 and 9

5 and 5

5 and 7

5 and 9

7 and 7

7 and 5

7 and 9

9 and 9

9 and 3

9 and 5

9 and 7

So, as we can see, we have 11 possibilities of getting a product GREATER than 21 (not 21...).

Correct answer A.

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What is the solution to the system below? <br> y = -3x - 2<br> 6x + 2y = -4
Alja [10]

Answer:

Infinitely many solutions

Step-by-step explanation:

Since y=-3x-2, plug it in (2)

6x+2(-3x-2)=-4.

Distribute:

6x-6x-4=-4

-4=-4

Infinetly many solutions.

Hope this helps :)

4 0
3 years ago
Find the equation of the axis of symmetry for this function <br> F(x)= 5x^2 - 3x + 5
likoan [24]

Answer:

x = \frac{3}{10}

Step-by-step explanation:

Given a quadratic in standard form, ax² + bx + c : a ≠ 0

Then the axis of symmetry is a vertical line with equation x = h

where h is the x- coordinate of the vertex.

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² - 3x + 5 ← is in standard form

with a = 5 and b = - 3, thus

x_{vertex} = - \frac{-3}{10} = \frac{3}{10}

Thus the equation of the axis of symmetry is x = \frac{3}{10}

3 0
3 years ago
Twelve different video games showing violence were observed. The duration times of violence were​ recorded, with the times​ (sec
Softa [21]

Answer:

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

There is no enough information to know if the requirements are satisfied.

Step-by-step explanation:

Ths test hypothesis would be a t-test.

The requirements that must be satisfied are:

- The sample should be reasonably random.

- The sample size should not be higher than 10% of the population.

- The data should not have outliers or excessive skewness.

- The data should be normal or with a sample large enough (usually n>30).

Some conditions are not met, as the sample size (n=12) which is not big enough.

We don't know also if the sample was taken randomly. The size of the sample respect to the population is also unknown.

In conclusion, we can not tell if the requirements are satisfied.

5 0
3 years ago
(-2,17)(-1,13)(1,5)(2,1)(3,-3)<br> The rate of change is ____.
7nadin3 [17]
Answer:

The rate of change in -4

Step-by-step explanation:

The rate of change is also known as the slope

To do this, take two points {(-2, 17) , (-1, 13)} and find the slope

m = slope

m = change in y/change in x

m = 13 - 17/-1 - (-2)

m = -4/1

m = -4

The rate of change in -4
4 0
2 years ago
Margot has 21 1/2 pounds of flour 8 pounds of butter and 18 1/2 ponds of sugar to make shortbread cookies if she makes 12 batche
adell [148]

Answer:

<em>4 pounds of ingredients are used in each batch.</em>

Step-by-step explanation:

Amount of flour = 21\frac{1}{2}pounds = \frac{43}{2}pounds

Amount of butter = 8 pounds

Amount of sugar = 18\frac{1}{2}pounds= \frac{37}{2} pounds

So, the <u>total amount of all ingredients</u> will be:   (\frac{43}{2}+\frac{37}{2}+8)pounds = (\frac{43+37+16}{2}) pounds= \frac{96}{2} pounds = 48 pounds

Given that, she makes 12 batches of cookies using all the ingredients.

Thus, the amount of ingredients used in each batch =\frac{48}{12} pounds = 4 pounds

5 0
3 years ago
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