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Alexxandr [17]
3 years ago
9

What two numbers have the sum of 12 and the difference of 4

Mathematics
2 answers:
Veronika [31]3 years ago
5 0

Answer:

8 and 4

Step-by-step explanation:

8+4= 12

8-4= 4

hope this helped♥

lbvjy [14]3 years ago
4 0

Answer:

8 and 4

8+4=12

8-4=4

Step-by-step explanation:

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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
What units could you use to measure the height of a hexagonal prism?
LenaWriter [7]
The answer is centimeters (cm)

Height is 1D dimension so we cannot use cm^2 or cm^3 to measure some distance. With cm^2 we measure surface (because surface is 2D that is why it has this ^2 next to cm) and cm^3 is unit for measuring volume (volume is 3D it has height, width and thickness that is why it has ^3)
cm^4 cannot be the answer since there is no more than 3 dimensions.
4 0
3 years ago
42=Wf×64 (what fraction)
Dmitry [639]
So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much

42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32

the answer is 21/32 in simplest form
7 0
3 years ago
Write an equation for a line parallel to y=-3x+2 that passes through the point (-1,4)
Wewaii [24]

<span>y=−3x+2</span> is a linear equation in slope-intercept form with
slope <span>m=<span>(−3)</span></span>
(and y-intercept <span>=2</span>)

We want the equation of a line with slope <span>m=<span>(−3)</span></span> through the point <span>(<span>−2</span>,<span>−8</span>)</span>

Using the point-slope linear equation form:
<span><span>(y−<span>(−8)</span>)</span>=<span>(−3)</span><span>(x−<span>(−2)</span>)</span></span>

Simplifying
<span>y+8=−3x−6</span>
or, in standard form
<span>3x+y=−<span>14</span></span>

3 0
3 years ago
A laptop computer originally priced at ​$1,000 now sells for ​$1,300. What is the percent of​ increase?
Vitek1552 [10]

Answer:

30% :))))))))))))))))))))))))))))

4 0
2 years ago
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