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igor_vitrenko [27]
3 years ago
9

How do we find the value of x

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

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Susan bought a pair of jeans for $20.95 and a shirt for $11.50. She paid with $40.00. How much was her change?
Fantom [35]
Her change is $7.55 :)
5 0
2 years ago
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Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $5 for children. Ninety-two adults and childr
zmey [24]

Answer:

Step-by-step explanation:

a + c = 92.....c = 92 - a

8a + 5c = 688

8a + 5(92 - a) = 688

8a + 460 - 5a = 688

3a = 688 - 460

3a = 228

a= 228/3

a = 76 <==== adults

a + c = 92

76 + c = 92

c = 92 - 76

c = 16 <=== children

4 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
How many gallons of water is being filled each minute? (8th Math)
Nadya [2.5K]

Answer:

3 gallons

Step-by-step explanation:

its in between 2 and 4 on minute 1 and its on 6 at minute 2

4 0
2 years ago
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What is the slope of a line that is perpendicular to the line whose equation is 3x+2y=6?
LekaFEV [45]

first, we can find the slope from the equation that is given buy solving the equation for y

3x+2y = 6

2y = 6-3x

y = 3-3/2x

y = -3/2x+3

now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2

perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have

-3/2 → 3/2 → 2/3

the slope of the perpendicular line is 2/3

hope this helped

7 0
3 years ago
Read 2 more answers
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