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PSYCHO15rus [73]
3 years ago
7

Find the coordinates of the midpoint of XY for X(-2,3) and T(-8,-9)

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

Midpoint of XY = ( - 5, - 3)

Step-by-step explanation:

Midpoint \:  of  \: XY \\  =  \bigg( \frac{ - 2 + ( - 8)}{2},  \:  \frac{3 + ( - 9)}{2}  \bigg) \\ =  \bigg( \frac{ - 2  - 8}{2},  \:  \frac{3  - 9}{2}  \bigg)\\ =  \bigg( \frac{ - 10}{2},  \:  \frac{ - 6}{2}  \bigg)\\  Midpoint \:  of  \: XY = ( - 5,  \:   - 3)

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Does this table represent a proportional relationship?<br><br> Yes<br> No
Contact [7]

no

the table does not represent a proportional relationship.

4 0
3 years ago
Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I
xxTIMURxx [149]

Answer:

t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971    

p_v =2*P(t_{(1699)}>1.971)=0.049  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

Step-by-step explanation:

Data given and notation  

\bar X=669 represent the sample mean

s=732 represent the sample standard deviation

n=1700 sample size  

\mu_o =68 represent the value that we want to test

\alpha=0. 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 is different from 634, the system of hypothesis would be:  

Null hypothesis:\mu = 634  

Alternative hypothesis:\mu \neq 634  

If we analyze the size for the sample is > 30 but 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{669-634}{\frac{732}{\sqrt{1700}}}=1.971    

P-value

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

df=n-1=1700-1=1699  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(1699)}>1.971)=0.049  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

3 0
2 years ago
Able, Ben and Cal each played a game able’s score was six times ben’s score, Cale score was a hird time of Able’s score write do
Feliz [49]

Answer:

6:1:2

Step-by-step explanation:

Let a = Able's score, b = Ben's score, and c = Cal's score.

Since

Able's score was 6 times Ben's score, that means a = 6b.

Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.

Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.

3 0
3 years ago
If you add or subtract two rational numbers, is the result sometimes, always, or never rational?
lawyer [7]

Answer:

Always

Step-by-step explanation:

8 - 9 = -1

1/3 - 1/6 = 1/6   are 2 examples

8 0
3 years ago
13. Mr. Carmello drives 30 miles each
Sauron [17]

Answer:

240 miles

Step-by-step explanation:

he drives 30 miles there and back which is 60 miles and 6 times 4 is 24 so 60 times 4 is 240

8 0
2 years ago
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