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zhuklara [117]
3 years ago
7

Which expression is equivalent to 4z+2z

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:6z

Step-by-step explanation:

4z+2z=6z

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Rose Marie is shopping for some new shoes. The shoes she wants cost
ololo11 [35]

Answer:

Step-by-step explanation:

7 0
3 years ago
A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products
tester [92]

Answer:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

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".

\bar X=22 represent the sample mean

\mu population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size  

ME = 2 represent the margin of error accepted

Solution to the problem

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

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

The margin of error is given by this formula:

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

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (3)

We can use as estimator for the population deviation the sample deviation \hat \sigma = s

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got z_{\alpha/2}=1.640, replacing into formula (3) we got:

n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5

So the answer for this case would be n=5 rounded up to the nearest integer

6 0
3 years ago
360 words in 1/12 hour. Second try 360 words in 1/15 hour. Was he faster or slower second attempt
xxTIMURxx [149]

Answer:

Second Attempt is faster.

Step-by-step explanation:

He reads 360 words in \frac{1}{12} hour in the first attempt and in the second attempt he reads the same number of words in \frac{1}{15} hour.

Since, $ \frac{1}{15} < \frac{1}{12} $ he takes less time in the second time. Less time means the work is done faster.

Therefore, second attempt is faster.

8 0
3 years ago
8 cm<br> 4 cm<br> 4 cm<br> 8 cm<br> The perimeter is<br> cm<br> What is the answer
dangina [55]

Answer:

24 cm

Step-by-step explanation:

8+8=16

4+4=8

8+16=24 cm

*Perimeter includes adding all sides, area is multiplying all sides.

8 0
3 years ago
Read 2 more answers
Circle A has a radius of 17 inches. what is the circumstance of Circle A
Rasek [7]

Answer:

106.76

Step-by-step explanation:

The formula to calculate the circumference if you know the radius is as follows: Circumference = 2 x Radius x π π = Pi = 3.14, thus, the math to calculate the circumference of a circle with a radius of 17 is: 2 x 17 x 3.14 = 106.76

3 0
2 years ago
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