All categories

3 years ago

Write the equation of a line perpendicular to y = -5/6x -3 and whose y-intercept is (0,11). I fr need help..

Mathematics

1 answer:

Sloan [31]3 years ago

7 0

Hey!

A perpendicular line has the slope as the negative reciprocal of the given line, so therefore the new lines slope would be...

y = 6/5x + b

Now to find the y-intercept you will have to just plug in the given point/coordinate in the equation above and solve for b...

11 = 6/5(0) = b

11 = b

Put the given slope and y-intercept in a slope intercept form equation (slope intercept form is y = mx + b)...

y = 6/5x + 11

This new equation is:

1) perpendicular to the given equation

2) in slope intercept form

Answer: y = 6/5x + 11

Hope this Helped!

You might be interested in

A bag contains 9 red marbles,5 green marbles, and 6 purple marbles.

Marta_Voda [28]

Answer:

Step-by-step explanation:

Que hay mas

5 0

4 years ago

budget Steve was offered $5,025 per year for a weekend lifeguarding job at a local pool. he wants to know how much his monthly i

kvv77 [185]

He should expect to receive 418.75 dollars. I found this by taking 5025 and dividing it by twelve (the number of months in a year.)

3 0

3 years ago

Read 2 more answers

In one town, 79% of adults have health insurance. what is the probability that 4 adults selected at random from the town all hav

wel

The number may be calculated as (0.79)^4 = 0.3895 ≈ 0.400.

This is becasue the probability of finding each adult having health insurance is independent of others.

When, events are independent, the combined probability is the product of each probability =>

Probailibty of one adult with healt insurance * probability of one adult with healt insurance * probability of one adult with health insurance * probability of one adult with health insurance = 0.79 * 0.79 * 0.79 * 0.79 = (0.79)^4.

Answer: 0.400

6 0

3 years ago

Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

6 0

4 years ago

Mike jogged 6 laps around a 0.25 mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday com

crimeas [40]

Answer: 3.25 miles

Step-by-step explanation:

6 + 7 = 13

13 x .25 = 3.25

3 0

3 years ago

Read 2 more answers