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4 years ago

Solve for x. x - 10 = -30 x = -40 x = -20 x = 20 x = 40

Mathematics

2 answers:

8090 [49]4 years ago

4 0

I hope this helps you out. I wish you luck!

Inessa05 [86]4 years ago

3 0

Answer:

x=-20

Step-by-step explanation:

x-10=-30

x-10+10=-30+10

x=-20

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Jennifer is saving money to buy a bike. The bike costs $223. She has "$128" saved, and each week she adds $19 to her savings.

castortr0y [4]

Answer: it would take her 5 weeks

You have to subtract 128 from 223 to find out how much money is left to earn. Which is 95. Then you must divide 95 divided by 19 because she get $19 each week and the answer is 5

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3 years ago

Figure ABCD is a rhombus. Find the value of x. <br><br> 58° <br><br> x = [ ? ]°

melisa1 [442]

The diagonals of the rhombus intersect at right angle. Then the value of x will be 32°.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. In a rhombus, opposite sides are parallel and equal.

Figure ABCD is a rhombus.

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More about the rhombus link is given below.

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3 years ago

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The sum of the two decimals is 1 the product of these decimals is 0.25 the quotient of these two decimals is 1 what are the two

ExtremeBDS [4]

Since the quotient of the two decimal numbers is 1, that tells use that they are the same number.
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3 years ago

A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine varies and does not fill each can wit

AnnZ [28]

Answer:

$12.1-1.64\frac{0.35}{\sqrt{50}}=12.019$

$12.1+1.64\frac{0.35}{\sqrt{50}}=12.181$

So on this case the 90% confidence interval would be given by (12.019;12.181)

And we can conclude at 90% of confidence that the true mean is between (12.019, 12.181) and since the lower limit is higher than 12 we can conclude that the specification is not satisfied

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".

$\bar X=12.1$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=0.35$ represent the population standard deviation

n=50 represent the sample size

Solution to the problem

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the 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 $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$12.1-1.64\frac{0.35}{\sqrt{50}}=12.019$

$12.1+1.64\frac{0.35}{\sqrt{50}}=12.181$

So on this case the 90% confidence interval would be given by (12.019;12.181)

And we can conclude at 90% of confidence that the true mean is between (12.019, 12.181) and since the lower limit is higher than 12 we can conclude that the specification is not satisfied

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4 years ago