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Minchanka [31]
3 years ago
6

21/8 as a mixed number

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0
You're answer is 2 5/8. To find a mixed number, you take an improper fraction, (such as 21/8), and you divide the numerator by the denominator. Now, you take the remainder and that will be your new numerator, and the divisor will be your denominator. Example: 
 
   __2___                       Answer: 2 5/8
8 I 21
    -16
-------------
        5
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Answer:

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Step-by-step explanation:

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3 years ago
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Jill traveled to Canada and bought a new lamp for $460 Canadian dollars. In US dollars (to the nearest cent) this is equivalent
liberstina [14]
1 US dollar= 1.18 Canadian dollars
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5 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_2be 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
ben says that an array with 2 ross and 5 columns has 8 items. is this reasonable? Explain why or why not?
IgorLugansk [536]
This is not reasonable because
2 \times 5 = 10 \\
5 0
3 years ago
MP.2 Reasoning
zubka84 [21]

Answer:

8 posts.

Step-by-step explanation:

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That is 7 posts but there is a post at each end so the number required = 7 + 1 = 8 posts.

8 0
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