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Advocard [28]
3 years ago
12

Write the equation of the line that passes through (2, -10) and has a slope of -3.

Mathematics
2 answers:
gladu [14]3 years ago
8 0

Answer:

y = -3x - 4

Step-by-step explanation:

y = mx + b

-10 = -3 (2) + b

-10 = -6 + b

b = -4

strojnjashka [21]3 years ago
4 0
Y = -3x - 4 would be the equation

to check you can plugin (2,-10)

-10 = -3(2) - 4

-10 = -6 - 4

-10 = -10
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A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) 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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
In times what equals 28,21,60,48,24,45
yanalaym [24]
I would say 1 but I feel like that wouldn't help you and that's all I know, plus I don't want to look it up because of the policy. I wanna help tho, so that's all I'm gonna say (please don't get mad at me)
8 0
3 years ago
Read 2 more answers
A builder requires 35 buckets of mortar to build a wall.
Stolb23 [73]

Answer:

He needs 7 buckets of cement, and 28 buckets of sane.

Step-by-step explanation:

cement : sand

1:4 = 5

35/5 = 7

7*1=7 .          Cement

7*4=28 .       Sand

5 0
3 years ago
Simplify the difference.
mr_godi [17]

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The last choice is appropriate.

3 0
3 years ago
Express 5.012 as a fraction in its simplest form
Sergeeva-Olga [200]

Answer:

1253/250

Step-by-step explanation:

3 0
3 years ago
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