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3 years ago

Y intercept x intercept and the slope

Mathematics

1 answer:

masha68 [24]2 years ago

6 0

Answer:

y-intercept = (0, - 3)

x-intercept = (-6, 0)

slope = - 1/2

Step-by-step explanation:

The y intercept is the value of y when the x = 0. By looking at the graph, we can tell that when x = 0, y = - 3. Likewise for the x-intercept.

We can use the slope formula to determine the slope.

m = y2 - y1/ x2 - x1

You can choose any 2 points on the line and substitute in the formula. I chose the y and x intercepts for easier calculations.

m = - 3 - 0/ 0 - (- 6)

m = - 3/ 6

m = - 1/2

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The diameter of a circle is 9 feet. Find the radius.

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The radius is half of the diameter.

9/2=4.5

The radius is 4.5 feet.

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3 years ago

Study the image. Global winds. Blue arrows designate cool air. Red arrows designate warm air. Cool air moves from the South and

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2 years ago

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Find the quotient. 514÷15 A. 720 B. 7834 C. 267 D. 314

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Answer:314

Step-by-step explanation:

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3 years ago

Fairly easy question

nexus9112 [7]

Answer:

C. x=3 and y=−6

Step-by-step explanation:

Step: Solvex−2y=15for x:

x−2y=15

x−2y+2y=15+2y(Add 2y to both sides)

x=2y+15

Step: Substitute2y+15forxin2x+4y=−18:

2x+4y=−18

2(2y+15)+4y=−18

8y+30=−18(Simplify both sides of the equation)

8y+30+−30=−18+−30(Add -30 to both sides)

8y=−48

8y8=−488(Divide both sides by 8)

y=−6

Step: Substitute−6foryinx=2y+15:

x=2y+15

x=(2)(−6)+15

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−6

7 0

2 years ago

Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th

Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 21-1 = 20$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have $T = 2.528$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{0.40}{\sqrt{21}} = 0.0873$

Now, we multiply T and s

$M = 2.528*0.0873 = 0.2207$

Then

The lower end of the interval is the mean subtracted by M. So:

$L = 3.27 - 0.2207 = 3.0493$

The upper end of the interval is the mean added to M. So:

$LCL = 3.27 + 0.2207 = 3.4907$

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

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3 years ago