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3 years ago

Explain what the absolute value tells about -18 degrees Celsius.

Mathematics

2 answers:

baherus [9]3 years ago

8 0

It says -18 is 18 digits away from 0

Lemur [1.5K]3 years ago

8 0

I'm a bit uncertain of what they are asking here, but the absolute value of -18 is 18. Maybe the answer is "Knowing the absolute value of -18 degrees Celsius tells us that the temperature is 18 degrees below zero."

Again, this question is weirdly worded but I hope this helps. :)

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Algebra find each unknown 6/12=x/2

bearhunter [10]

Answer:

x=1

Step-by-step explanation:

6/12 = x/2

Simplify the left side by dividing the top and bottom by 6

1/2 = x/2

Using cross products

2x =2

Divide by 2

2x/2 =2/2

x=1

5 0

3 years ago

Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student

AysviL [449]

Answer:

The mean calculated for this case is $\bar X=584$

And the 95% confidence interval is given by:

$584-2.776\frac{86.776}{\sqrt{5}}=476.271$

$584+2.776\frac{86.776}{\sqrt{5}}=691.729$

So on this case the 95% confidence interval would be given by (476.271;691.729)

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".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=584$

The sample deviation calculated $s=86.776$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that $t_{\alpha/2}=2.776$

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

$584-2.776\frac{86.776}{\sqrt{5}}=476.271$

$584+2.776\frac{86.776}{\sqrt{5}}=691.729$

So on this case the 95% confidence interval would be given by (476.271;691.729)

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3 years ago

Three more than twice a number is nine

denis23 [38]

Answer:

2x + 3 = 9

Step-by-step explanation:

Three more than twice a number is nine

Twice a number would be 2x
where x is the number

Three more would be + 3

And is means equal sign or “=“

6 0

3 years ago

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Juli2301 [7.4K]

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What is the difference between a $20,000 and a $30,000 annual salary over a lifetime

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