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Elodia [21]
3 years ago
13

Jayden and Ava share a reward of $35 in a ratio of 2 : 3. What fraction of the total reward does Ava get?

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

We are given : Jayden and Ava share a reward of $35 in a ratio of 2 : 3.

Total amount is $35.

We need to divide it in 2:3 ratio.

2:3 ratio represents 2 parts for Jayden and 3 parts for Ava of the total $35.

2 and 3 make total 5 part.

5 parts make $35.

1 part = 35/5 = $7.

Jayden should have 2 parts = 2* 7 = $14.

Ava should have 3 parts = 3 * 7 = $21.

Ava got total $21.

<em>Now, we need to check $21 is what fraction of the total $35.</em>

21/35 can be reduced into fraction 3/5.

<h3>Therefore, Ava get 3/5 of the $35.</h3>
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a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

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We have to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

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The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

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