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3 years ago

Write the equation of each line using the given information.

Mathematics

1 answer:

MrRissso [65]3 years ago

4 0

Answer:

See explanation.

Step-by-step explanation:

We need a point and a slope to have a point slope equation.

$y-y_{1}=m(x-x_{1})$

We need a slope and y-intercept to write in slope intercept form.

$y=mx+b$

A) $y-1=\frac{1}{2}(x+4)$ or $y=\frac{1}{2}x+3$

B) $y+1=-1(x-2)$

C) $y-1=0(x-1)$

D) $y=-3x+8$

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true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

Goshia [24]

Answer:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

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

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

6 0

3 years ago

A skydiver is falling 176 feet per second. How many feet per minute is he falling

Vlada [557]

The correct answer here is that if the skydiver is falling 176 feet per second, he is falling 10560 feet per minute. This can be worked out quite easily, by considering that if there are 60 seconds in a minute, we then need to work out the proportion of 176 feet/1 sec = x/60 sec. You then need to multiply 60 by 176 to get 10560, which is your answer.

3 0

3 years ago

A spaceship traveled 32 million miles. In scientific notation that is _____ miles. 3.2 × 10-7 3.2 × 10-6 3.2 × 106 3.2 × 107

In-s [12.5K]

In scientific notation :
32 million miles is 3.2 x 10 ^7 miles.

7 0

3 years ago

Can someone help me please

balandron [24]

Answer:

C) ∠R

Step-by-step explanation: