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Lady_Fox [76]
2 years ago
13

Joan is 5 years older than Ellen, and 3 years ago the sum of their ages was 17 years. In how many years will Joan be 21 years ol

d?
Mathematics
1 answer:
slavikrds [6]2 years ago
5 0

Answer:

7

Step-by-step explanation:

If J is Joan's current age and E is Ellen's current age, then:

J = E + 5

(J - 3) + (E - 3) = 17

Solve the first equation for E:

E = J - 5

Substitute into the second:

(J - 3) + (J - 5 - 3) = 17

J - 3 + J - 8 = 17

2J - 11 = 17

2J = 28

J = 14

Joan is 14, so in 7 years, she will be 21.

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A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p
Arisa [49]

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

7 0
2 years ago
Kevin and Joaquim had a total of $620. Joaquim had $100 more than Kevin. How much money did Kevin have?
Fantom [35]

Answer:

$260

Step-by-step explanation:

620-100=520 ( to make both of them equal)

520÷2=$260

Hope this helps! Thanks.

6 0
2 years ago
Find the output please help
konstantin123 [22]

Answer:

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Step-by-step explanation:

I'm pretty sure if you're using slope this should be it.

7 0
3 years ago
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