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Nostrana [21]
3 years ago
10

Due Today :( Please Help! show Work! Is the relation below a function? (1, 3), (-4, 0), (3, 1), (0, 4), (2, 3) Why or Why not? N

ame the domain and range

Mathematics
1 answer:
Sliva [168]3 years ago
4 0
<span>Since each x value maps to one and ONLY ONE y value, this means that this given relation is indeed a function. 
The domain is defined as, "</span> The domain<span> is the set of all possible x-values which will make the function "work", and will output real y-values." so I'm guessing the domain would be 1, 3, and 2 since they are independent integers that are positive. The range would be y<4, since the range is the spread of the possible y values. I hope this helps you out. </span>

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Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in
stiks02 [169]

Answer:

a) The null and alternative hypothesis are:

H_0: \pi=0.53\\\\H_a:\pi

b) If 300 families were sampled, for a significance level of 5%, there is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago (P-value = 0.001).

 

Step-by-step explanation:

The claim that we want to have evidence to support is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

The hypothesis for this test should state:

- For the null hypothesis, that the population proportion is not significantly different from 53%.

H_0:\pi=0.53

- For the alternative hypothesis, that the population proportion is significantly less than 53%.

H_a: \pi

If 300 families are sampled, we can perform a hypothesis test for a proportion.

The claim is that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

Then, the null and alternative hypothesis are:

H_0: \pi=0.53\\\\H_a:\pi

The significance level is 0.05.

The sample has a size n=300.

The sample proportion is p=0.44.

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.53*0.47}{300}}\\\\\\ \sigma_p=\sqrt{0.00083}=0.029

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.44-0.53+0.5/300}{0.029}=\dfrac{-0.088}{0.029}=-3.065

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z

As the P-value (0.001) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that a smaller proportion of American families own stocks or stock funds this year than 10 years ago.

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3 years ago
Can someone please help me with this
julsineya [31]

Answer:

Step-by-step explanation:

5- There are 2 right-angled triangles and 1 equilateral triangle or you can just say triangles

6- area for a triangle is a=bh(1/2)

so 4×3=12(1/2)=6

and 4×3=12(1/2)=6

In both triangles, they're a=6

7- 4×6=24(1/2)=12

the top flag is a=12

8-12+6+6=24

9- the rectangular flag has an area of 24 since a=bh and the added areas of the triangles are 24. I conclude that these are two ways of finding the area of this rectangular flag.

hope this helps : )

8 0
2 years ago
The total cost of running a business is based on its expenses
dimulka [17.4K]

Answer:

Step-by-step explanation:

(x) = expenses, t (y) = total cost

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dependent (y) - total cost

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Answer:

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Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.
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Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.Housing $612 
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8 0
3 years ago
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