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GarryVolchara [31]
3 years ago
14

Oscar says to Vanesa: "I am five times the age you were when I was the age you are; and when you are the age I am, our ages will

add up to 72 years." How old is Vanessa? Please
Mathematics
2 answers:
saul85 [17]3 years ago
4 0

Answer:

18

Step-by-step explanation:

Let's say x is Oscar's age, and y is Vanessa's age.

When Oscar was Vanessa's age, Vanessa was y−(x−y) = 2y−x years old.  Oscar is five times older than this:

x = 5 (2y − x)

x = 10y − 5x

6x = 10y

3x = 5y

When Vanessa is Oscar's age, Oscar will be x+(x−y) = 2x−y years old.  The sum of their ages will by 72.

2x−y + x = 72

3x − y = 72

Substituting:

5y − y = 72

4y = 72

y = 18

Vanessa is 18.  Which means Oscar is 30.

Let's check our answer.  When Oscar was 18, Vanessa was 6.  Oscar is 5 times older than that (30).  When Vanessa is 30, Oscar will be 42, and their ages will add up to 72.

Gemiola [76]3 years ago
3 0

Answer:

Vanessa is 60 and the other person is 12

Step-by-step explanation:

X + 5x = 72

6x = 72

x = 12

12 x 5 = 60

vanessa is 60

the other person is 12

60 + 12 = 72

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A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a
frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 80, \sigma = 6.5

What percentage of the class has an exam score of A- or higher (defined as at least 90)?

This is 1 subtracted by the pvalue of Z when X = 90. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{90 - 80}{6.5}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% of the class has an exam score of A- or higher.

4 0
2 years ago
Plz help ILL GIVE BRAINLIEST
vovangra [49]

Answer:

Step-by-step explanation:

I think in this question we have to find slope, if so, its y = 10x.

to find the slope just pick two numbers, i chose (2,20) and (7,70) and then put them in the slope formula y2-y1/x2-x1. That gave me 10. I hope its correct. :)

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3 years ago
Is it possible for two numbers to have a difference of 6 and also sum of 6
Snowcat [4.5K]

Definitely.

But the two numbers have to be 6 and zero.

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There is the answer and also a check to make sure hope this helps

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Murljashka [212]
The answer would be -4
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