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3 years ago

What the opposite integer of 10

Mathematics

2 answers:

inysia [295]3 years ago

7 0

The opposite integer of 10 is -10

iogann1982 [59]3 years ago

3 0

The opposite of that would be Negative 10

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1. A business records its net profits for the week by subtracting the operating costs from the revenue. The function P(x) = (140

MrMuchimi

I think answer should be d. Please give me brainlest let me know if it’s correct or not okay thanks bye

8 0

3 years ago

Which is the first step in simplifying the expression?

Elenna [48]

$\dfrac{3}{2 + \sqrt{2} }$

To rationalise the denominator, this is a standard step:
$= \dfrac{3}{2 + \sqrt{2} } \times \dfrac{2 - \sqrt{2}}{2 - \sqrt{2}}$

Answer: Option A

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Let me continue to complete the question, though it is not ask for

$= \dfrac{3(2 - \sqrt{2})}{(2 + \sqrt{2)}(2 - \sqrt{2}) }$

$= \dfrac{3(2 - \sqrt{2})}{4 - 2 }$

$= \dfrac{6 - 2\sqrt{2}}{2 }$

5 0

4 years ago

Read 2 more answers

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)

3 0

3 years ago

The length of the terrarium is 14.5 inches and the width is 7 inches. what is the height of the terrarium?

mote1985 [20]

The height is: 7.5 inches. Since the terrarium is 14.5 inches in total, and the width is 7 inches, the remaining inches makes up the height and that is 7.5.

3 0

3 years ago

The results of joes survey show that baseball is the favorite sport for 18 out of 25 people. What percent do not like sports?

charle [14.2K]

well if 18 out of 25 like it, then the remaining 7 doesn't like it, namely 7 out of 25.

if we take 25 to be the 100%, what is 7 off of if in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 25&100\\ 7&x \end{array}\implies \cfrac{25}{7}=\cfrac{100}{x}\implies 25x=700\implies x=\cfrac{700}{25}\implies x=28$

7 0

3 years ago