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Schach [20]
2 years ago
6

What are the slope and the y-intercept of the linear function that is represented by the graph? The slope is 2/3. and the y-inte

rcept is -2. The slope is z. and the y-intercept is 3. The slope is 3/2 and the y-intercept is -2. The slope is 3/2, and the y-intercept is 3 ​

Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Answer:

The equation of a line with a slope of m and a y-intercept of (0, b) is y = mx + b. To graph a line that is written in slope-intercept form: Plot the y-intercept on the coordinate plane. Use the slope to find another point on the line.

Step-by-step explanation:

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Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math
bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

p_1=X_1/n_1=82/135=0.607

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

p_2=X_2/n_2=41/92=0.446

The difference between proportions is (p1-p2)=0.162.

p_d=p_1-p_2=0.607-0.446=0.162

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=2\cdot P(z>2.4014)=0.0171

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735

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

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0
3 years ago
PLEASE HELP WITH QUESTION C
GalinKa [24]

Answer:

Discount: 25%

Tax: 6.5%

Step-by-step explanation:

Percentage of discount:

x/100 = 10/39.99 (what percentage is 10 of 39.99) (%/100=is/of)

= 25%

Percentage of tax:

x/100 = 1.95/29.99

= 6.5%

8 0
3 years ago
What is the value of x
amm1812

Answer:

x=123

Step-by-step explanation:

x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.

x=123

Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees

57*x=180

Subtract 57 from both sides to get x by itself.

x=123

6 0
3 years ago
You are making 2 cakes for your siblings. You want to make sure both cakes have the same
MrRissso [65]

Answer: GOOBLE GOBBLE

Step-by-step explanation: :P

3 0
3 years ago
A wire of radius 6mm and length 400 is melted to sphere.calculate the volume of an irregular solid​
Degger [83]

Answer:

it's 10 cemetery in a two way too far and far from a lot for

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