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2 years ago

What is the integer?

Mathematics

1 answer:

wel2 years ago

3 0

Answer:

-40

Step-by-step explanation:

This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.

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What is [70+(-30)]+[2+(-9)]+[0.3+(-0.1)]

vovangra [49]

$\huge\mathfrak{=\;0}$

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3 years ago

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The width of a rectangle is 4ft and the diagonal length of the rectangle is 13ft which measurement is closest to the length of t

lozanna [386]

Answer:

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3 years ago

The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.

NISA [10]

Answer:

$8.2-2.58\frac{2.2}{\sqrt{18}}=6.86$

$8.2+2.58\frac{2.2}{\sqrt{18}}=9.54$

So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:

$ME= 2.58\frac{2.2}{\sqrt{18}} =1.338$

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".

$\bar X=8.2$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2.2$ represent the population standard deviation

n 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 $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

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

$8.2-2.58\frac{2.2}{\sqrt{18}}=6.86$

$8.2+2.58\frac{2.2}{\sqrt{18}}=9.54$

So on this case the 90% confidence interval would be given by (6.86;9.54) And the error is given by:

$ME= 2.58\frac{2.2}{\sqrt{18}} =1.338$

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3 years ago

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Write the standard form of the equation of a circle with radius 10 and center (9,3)

gladu [14]

Answer:

$(x-9)^{2}+(y-3)^{2} =100$

Step-by-step explanation:

The standard form formula for a circle equation is $(x-h)^{2}+(y-k)^{2} =r^{2}$ , where (h,k) represents the center of the circle, and r represents the radius.

r=10

(h,k)= (9,3)

$(x-h)^{2}+(y-k)^{2} =r^{2}$

$(x-9)^{2}+(y-3)^{2} =10^{2}\\(x-9)^{2}+(y-3)^{2} =100$

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2 years ago

Write a correspoding real world problemas TO represent 2x - 125 = 400

Nataly [62]

There is a baseball game. It is 2$ for every person, which is x, that wants to watch the game. After the game, you pay the umpires a total of 125$. After the end of the day you have made 400 dollars. How many people came to the game. So find x.

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3 years ago