Write and equation in slope intercept form for the line that has a Slope of 2 and passes though (1,-5)

Find a polar equation that has the same graph as the equation in x and y. x^2 + y^2 = 5

Alex17521 [72]

X^2 + y^2 can be replaced by r^2 to obtain the polar equation equivalent to x^2 + y^2 = 5. Thus, r^2 = 5, and r = sqrt(5). That's all that's necessary. No matter what the angle is, r will always be sqrt(5).

4 0

4 years ago

mr.white can travel for 6 hours while taking 3 breaks of 10 mins each once he had to travel for 36 hours how many minutes in bre

arlik [135]

If he once traveled 36 hours and he takes 6 hour trips you do
10x3=30 so every six hours he takes 30 minute brakes then 36 divided by 6 equlas 6 you would do 30x6= the answer!!! (Btw i do 6th grade math)

7 0

3 years ago

What is the formula for a confidence interval?

ikadub [295]

Answer:

a) The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) $\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

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".

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Part a

The formula is given by mean $\pm$ the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

5 0

4 years ago

Solve for x: 6> - 2/3 (7x-2)

lisov135 [29]

6>-2/3(7×-2)

6>-14/3x+4/3

14/3x>4/3-6

=14/3x>-14/3

=x=1

8 0

3 years ago

How many persons are in the line? Ashley is in the line to buy a ticket. There are twice as many people in front of Ashley as th

Klio2033 [76]

Answer:

I am pretty sure there are 10 people in line.

Since Ashley is the seventh person in line, we can deduce that there are 6 people in front of her.

Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.

6/2 is 3, so there are 3 people behind Ashley.

Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.

9 + 1 = 10, so there are 10 people in the line.

4 0

3 years ago