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wel
3 years ago
9

Help will give crown!!

Mathematics
2 answers:
AleksandrR [38]3 years ago
7 0

Answer:

Mixed number: 3\frac{15}{100}

Improper fraction: \frac{315}{100}

Step-by-step explanation:

A mixed number is a number that contains an integer part and a fraction part.

An improper fraction is a fraction where the numerator is greater than the denominator.

3.15 can be written as \frac{315}{100} in its fraction form. This would be an improper fraction since the numerator is greater than the denominator.

The mixed number is 3\frac{15}{100} since 100 goes into 315 three full times and the remainder is 15.

∴The mixed number is 3\frac{15}{100} and the improper fraction is \frac{315}{100}.

Sergeu [11.5K]3 years ago
5 0
Other guy who answered is right
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maksim [4K]

Answer:

The 95% CI for the difference of means is:

-155.45 \leq \mu_1-\mu_2 \leq -44.55

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size:  4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

M_d=M_1-M_2=200-300=-100

The standard deviation can be estimated as:

\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45

The degrees of freedom are:

df=n_1+n_2-2=10+4-2=12

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55

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Answer:

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Step-by-step explanation:

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converting:

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