Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is 7 40/81 rounded to the nearest whole number

polet [3.4K]

If you divide, you get 9.135......
Therefore, you look at the digit after the decimal point that is 1 so it will be 9 since it's less than 5
So the answer is 9

8 0

3 years ago

Radon is a gas produced when radium decays, and it can enter homes where it can be a health threat. Among 180 homes in Hyde Park

mylen [45]

Answer:

We are given that Among 180 homes in Hyde Park, 25 were found to have unsafe radon levels. Among 230 homes in La Grange, 50 were found to have unsafe radon levels.

Claim : the two towns have different rates of unsafe radon levels.

Let $p_1$ and $p_2$ be the rates of unsafe radon levels of Hyde Park and LaGrange respectively .

$H_0:p_1=p_2\\H_a:p_1\neq p_2$

Among 180 homes in Hyde Park, 25 were found to have unsafe radon levels

So, $n_1=180, y_1=25$

Among 230 homes in La Grange, 50 were found to have unsafe radon levels.

So, $n_2=230, y_2=50$

We will use Comparing Two Proportions

$\widehat{p_1}=\frac{y_1}{n_1}$

$\widehat{p_1}=\frac{25}{180}$

$\widehat{p_1}=0.1388$

$\widehat{p_2}=\frac{y_2}{n_2}$

$\widehat{p_2}=\frac{50}{230}$

$\widehat{p_2}=0.217$

$\widehat{p}=\frac{y_1+y_2}{n_1+n_2} =\frac{25+50}{180+230}=0.1829$

Formula of test statistic : $\frac{\widehat{p_1}-\widehat{p_2}}{\sqrt{\widehat{p}(1-\widehat{p})(\frac{1}{n_1}+\frac{1}{n_2})}}$

Substitute the values

test statistic : $\frac{0.138-0.217}{\sqrt{0.1829(1-0.1829)(\frac{1}{180}+\frac{1}{230})}}$

test statistic : −2.053

Refer the z table for p value

p value = 0.0202

α= 0.05

Since p value < α

So, we reject the null hypothesis that the two towns have same rates of unsafe radon levels.

So, Claim is true.

3 0

4 years ago

Find the greatest common factor of the monomials. 16x, 36x ...?

Artemon [7]

The answer is simple.
First, you must look what is the least among the list. In this case, it is 16x.
Then get the factors of 16x and they are (4,4) , (8,2) and (16,1).
Since you can't then divide it to 36.

Since you can't divide 36 by 16 and 8. You must eliminate them from the list of GCF.
2 and 4 are possible but 4 is the greatest Common Factor which can be divided to both 16 and 36.

5 0

3 years ago

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions o

mr_godi [17]

Given:

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet

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❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.

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To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:

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$\: \: \: \: \: \: \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)} = Length \times width }}}}} \\ \\$

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$\underline {\sf{Substituting \: the \: values~ in~ above~formula: }} \\$

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$: \implies \sf \:x \times (x - 5) = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x - 126 = 0 \\ \\ \\ : \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\ \\ \\ : \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\ \\ \\ : \implies \sf \:(x - 14)(x - 9) = 0 \\ \\ \\ : \implies { \boxed { \purple{\pmb { \: x = 14 \: \: or \: \: x = -9}}} } \\ \\ \\$