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3 years ago

What is the equation of the line in slope-intercept form?

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

7 0

Y=mx + b . "You may already be familiar with the "y=mx +b" form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form! The "b" value (called the y-intercept) is where the line crosses the y-axis."

stepladder [879]3 years ago

6 0

Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5

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Please help asap....

Andrei [34K]

Find the area of the total circle and when you find that area, multiply it by 145/360 for that is how much of the circle that area is.

Area of circle, $\pi$ r^2 and 13.69 times 3.14 is 42.9866. Then multiply by 145/360 to get about 17.3 inches squared.

7 0

3 years ago

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year

puteri [66]

Answer:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

Step-by-step explanation:

information given

$\bar X=10.6$ represent the sample mean

$\sigma=4.1$ represent the population standard deviation

$n=45$ sample size

$\mu_o =12$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

The statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing the info given we got:

We can replace in formula (1) the info given like this:

$z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29$

8 0

4 years ago

HELPPPP PLEASSEEEEE Literal Equations and Formulas

Lapatulllka [165]

Answer:

Im pretty sure A

Step-by-step explanation:

multiply both sides by 3/4 (reciprocal)

3/4X=pie(r)cubed

divide by pi on both sides

3/4X

-------- = r(cubed)

cube root both sides

4 0

3 years ago

PLEASE HELP ME ASAP 50 POINTS AND BRAINLIEST!!!!!!

Virty [35]

Answer:

The first shape is triangle; area of a triangle = 1/2*b*h

= 1/2*7*3

= 1/2*21

= 21/2

= 10.5

The second shape is rectangle; area of rectangle = l*b

= 7*3

= 21

Total area:

10.5+21

= 31.5

7 0

3 years ago

The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 150

Kobotan [32]

Answer:

The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645\frac{9}{\sqrt{150}} = 1.2$

The lower end of the interval is the sample mean subtracted by M. So it is 40.5 - 1.2 = 39.3 hours

The upper end of the interval is the sample mean added to M. So it is 40.5 + 1.2 = 41.7 hours

The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.

7 0

3 years ago