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3 years ago

Can the ratio of a parent's age to his or her child's age ever be exactly 10 : 9 ?

Mathematics

2 answers:

Crank3 years ago

5 0

Yes, if the parents had the child at a very young age. ex. Parents: 80 years old Child: 72 years old

slega [8]3 years ago

3 0

Mathematically, yes.
Realistically, no.
The difference in their ages is the parent's age when the child was born.
Let's say that the youngest possible is 12.
Then the ratio would be 10:9 when the parent is 120 and the child is 108.
Not likely.

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Scilla [17]

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2 years ago

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

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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3 years ago

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alukav5142 [94]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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2 years ago

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tester [92]

Answer:

$8.33

Step-by-step explanation:

$14.69 50.00

+ $20.99 - 41.67

=35.68 = $8.33

+5.99

=$41.67

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2 years ago