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grin007 [14]
3 years ago
8

What property (associative,distributive,communitive) is 9(6+4)=(9x6)+(9x4)

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0
That is distributive property ... hope this helps
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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
Use the equation 135⋅42=5,670 and what you know about fractions, decimals, and place value to explain how to place the decimal p
Jobisdone [24]

7x + 4 = 9

7x + 4 = 19

2x = 19 - 4

7x = 15

x= 15 – 7

7 0
3 years ago
The storage space of a moving truck is in the shape of a rectangular prism. The dimensions are 6 feet wide, 10 feet long, and 6
Karolina [17]
Forgive if I am wrong, but I think the answer is 360 feet cubed 
3 0
3 years ago
Read 2 more answers
Angle ABD is 90°.
Maksim231197 [3]

Answer:

a

Step-by-step explanation:

368

6 0
3 years ago
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Decide whether each point is a solution to the
kogti [31]

Answer:

(0,2) :  Is not a solution to the system

(5,0) :   is a solution to the system

(3,13) :  is not a solution to the system

Step-by-step explanation:

Did it on Edgenuity,  2020. Hope this helps!

3 0
3 years ago
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