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2 years ago

What is the slope of the line through (-9,6)(âˆ’9,6)(, minus, 9, comma, 6, )and (-3,9)(âˆ’3,9)(, minus, 3, comma, 9, )?

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

4 0

Answer:

0.5

Step-by-step explanation:

The slope m of a linear equation y = mx + b that goes through point (-9,6) and point (-3, 9) would have the following formula

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 6}{-3 - (-9)} = \frac{3}{6}= \frac{1}{2}$ or 0.5

Where $(x_1,y_1), (x_2, y_2)$ are the coordinates of the 2 points that this line goes through

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Agata [3.3K]

Answers:

prime number = {2,3,5}
composite number = {4,6}
number less than four = {1,2,3}
number more than or equal to three = {3,4,5,6}

====================================================

Explanation:

The list of all possible outcomes on a single standard die is {1,2,3,4,5,6}. The curly braces indicate set notation.

A prime number is a number where its only factors are 1 and itself. The value 1 is not prime, and it's not composite either.

Something like 3 is prime because its only factors are 1 and 3. Something like 4 is composite because 4 = 2*2. A composite value has factors other than 1 and itself.

Parts (iii) and (iv) are fairly straight forward. You simply list items less than four for part (iii) and you list items that are three or greater for part (iv).

5 0

3 years ago

A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries,

Andru [333]

Answer:

A. Null and alternative hypothesis:

$H_0: \mu_d=0\\\\H_a:\mu_d\neq 0$

B. Yes. At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

P-value = 0.00002

C. As the difference is calculated as (population 1 − population 2), being population 1: groceries and population 2: dinning out, and knowing there is evidence that the true mean difference is positive, we can say that the groceries annual credit card charge is higher than dinning out annual credit card charge.

The point estimate is the sample mean difference d=$840.

The 95% confidence interval for the mean difference between the population means is (490, 1190).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

Then, the null and alternative hypothesis are:

$H_0: \mu_d=0\\\\H_a:\mu_d\neq 0$

The significance level is 0.05.

The sample has a size n=42.

The sample mean is M=840.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1123.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1123}{\sqrt{42}}=173.2827$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{840-0}{173.2827}=\dfrac{840}{173.2827}=4.848$

The degrees of freedom for this sample size are:

$df=n-1=42-1=41$

This test is a two-tailed test, with 41 degrees of freedom and t=4.848, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=2\cdot P(t>4.848)=0.00002$

As the P-value (0.00002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

We have to calculate a 95% confidence interval for the mean difference.

The t-value for a 95% confidence interval and 41 degrees of freedom is t=2.02.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.02 \cdot 173.283=350$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 840-350=490\\\\UL=M+t \cdot s_M = 840+350=1190$

The 95% confidence interval for the mean difference is (490, 1190).

7 0

2 years ago

A triangle has side lengths 1.5 inches, 2 inches, and 3 inches. Is the triangle a right triangle

Alexandra [31]

No, for it to be a right triangle the last length would need to be 2.5 not 3

7 0

1 year ago

I can't figure out how to do this. Please show work

Oksanka [162]

I believe that on the shape is length times the width which is 56

7 0

3 years ago

2x2 + 3x ANSWER TO THIS

igomit [66]

Answer:

x(2x+3)

Step-by-step explanation:

Im guessing 2x2 is 2x^2

2x^2 + 3x = 0

x(2x+3)

3 0

3 years ago