Describe the relationship between n and 4 that will make the value of the expression 7×n/4 great her than 7

Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?

mina [271]

Answer:

0.4

Step-by-step explanation:

y^2-y^1 = 7-5 = 2

x^2-x^1 = 9-4 = 5

2/5 = 0.4

5 0

4 years ago

Write 1.68 as a percent.

Ray Of Light [21]

Answer:

1.68 as a percent is 168%.

Step-by-step explanation:

To convert 1.68 to a percentage, multiply the number 1.68 by 100.

4 0

3 years ago

Read 2 more answers

Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Constr

asambeis [7]

Answer:

a) Null hypothesis: $\rho = 0$

Alternative hypothesis: $\rho \neq 0$

b) The scatter plot is on the figure attached.

c) $t=\frac{0.874}{\sqrt{1-(0.874)^2}} \sqrt{9-2}=4.758$

$p_v = P(t_{7} >4.758) =
0.0010$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at 5% of significance, and we can conclude that the correlation coefficient is significant.

Step-by-step explanation:

Previous concepts

Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.

Solution to the problem

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

Let X the Court Income and Y= Justice Salary, for this case we have that:

$n=9, \sum X= 3986, \sumY=398. \sumXY=265160, \sum X^2 =4076636, \sumY^2 =22074$

On this case we got that r =0.874

Part a

Null hypothesis: $\rho = 0$

Alternative hypothesis: $\rho \neq 0$

Part b

The scatter plot is on the figure attached.

Part c

In order to test a hypothesis related to the correlation coefficient we need to use the following statistic:

$t=\frac{r}{\sqrt{1-r^2}} \sqrt{n-2}$

Where n represent the sample size and the statistic t follows a t distribution with n-2 degrees of freedom:

$t \sim t_{n-2}$

On this case our value of n = 9 and the statistic is given by:

$t=\frac{0.874}{\sqrt{1-(0.874)^2}} \sqrt{9-2}=4.758$

And the degrees of freedom are given by df=9-2=7

And the p value for this case since we have a bilateral test is given by:

$p_v = P(t_{7} >4.758) =
0.0010$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis at 5% of significance, and we can conclude that the correlation coefficient is significant.

3 0

3 years ago

Please help! there’s a picture!

Dvinal [7]

Answer:

D. (The last one) is the answer

Step-by-step explanation:

I took that test and got it right! I hope you have a good day!

8 0

2 years ago

At the factory a baseball card is places in every 9th cereal package a football card is placed in every 25th package what is the

strojnjashka [21]

To figure out this question, look for the first number where both 25 and 9 are a factor of.

25*1 is 25 which isn't a factor of 9, so it won't be 25.
25*2 is 50, which isn't a factor of 9.
75 is not a factor of 9. (you know because you don't get a whole number when you divide 75 into 9.)
100 is not a factor of 9, nor is 125, 150, 175, or 200.

However, 225 is a factor of both 25 and 9. This makes sense because 25*9 is 225.

This means that the first package with both will be the 225th package.

8 0

3 years ago