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yulyashka [42]
3 years ago
13

State which of the following ordered pairs is a function. Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) Set B: (1, 4), (2, 3), (3, 2),

(4, 1) Set C: (2, 1), (3, 2), (2, 3), (1, 4)
Mathematics
2 answers:
scZoUnD [109]3 years ago
5 0
It would be set A and B. They are both functions.

Hope This Helps You!
Good Luck Studying :)


liubo4ka [24]3 years ago
4 0
Sets A and B are both functions because they all have different x values. Set C is not a function because it repeats the x value of 2 and gives it two different y values.
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Please work out the shapes question pls!!!
Contact [7]
Here's what I got for the first question.

Did you want answers for the second one? I couldn't read that part of the image very well, if you did.

7 0
3 years ago
In the past, the average age of employees of a large corporation has been 40 years. Recently, the company has been hiring older
Viktor [21]

Answer:

p_v =P(t_{(63)}>2.5)=0.0075  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

Step-by-step explanation:

1) Data given and notation  

\bar X=45 represent the mean height for the sample  

s=16 represent the sample standard deviation for the sample  

n=64 sample size  

\mu_o =40 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean age is higher than 40 years, the system of hypothesis would be:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{45-40}{\frac{16}{\sqrt{64}}}=2.5    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=64-1=63  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(63)}>2.5)=0.0075  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the mean age is significantly higher than 45 years at 5% of significance.  

6 0
3 years ago
Give an example of this when adding two rationalnumbers with different signs and provide the product.
kolezko [41]

ANSWER:

\begin{gathered} \frac{4}{5}+-\frac{8}{3}=-\frac{28}{15} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{32}{15} \end{gathered}

STEP-BY-STEP EXPLANATION:

Rational numbers are all numbers that can be expressed as a fraction, that is, as the quotient of two whole numbers.

Therefore, an example would be:

\begin{gathered} \frac{4}{5}\text{ and - }\frac{8}{3} \\ \text{adding} \\ \frac{4}{5}+-\frac{8}{3}=\frac{4}{5}-\frac{8}{3} \\ \frac{4}{5}-\frac{8}{3}=\frac{4\cdot3-5\cdot8}{5\cdot3}=\frac{12-40}{15}=-\frac{28}{15} \\ \text{ product} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{4\cdot8}{5\cdot3}=-\frac{32}{15} \end{gathered}

5 0
1 year ago
Nvm I don’t need anymore thanks anyways
solniwko [45]

Answer:

•________•♡♡♡•______•

6 0
3 years ago
Kayla buys a video game for $19 plus a 6% tax. Michael buys a volleyball for $18 plus a 6% tax. Enter the difference in the amou
adelina 88 [10]

Answer:

Kayla = $20.14

Michael = $19.08

The Difference = 1.06

Step-by-step explanation:

<em><u>How to solve.</u></em>

First, you need to add up how much Kayla is paying for the video game, plus the 6% tax.

19.00 + 6% = 20.14

Then, you need to do the same with Michael's.

18.00 + 6% = 19.00

To find the difference between how much Kayla and Michael paid for their items, you need to subtract their total.

20.14 - 19.00 = 1.06

and the nearest cent would be 1.10.

<u><em>I hope this helped</em></u>.<em><u>!</u></em>

6 0
3 years ago
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