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Sonbull [250]
3 years ago
10

The following are the ages (years) of 5 people in a room: 23, 13, 17, 12, 15 A person enters the room. The mean age of the 6 peo

ple is now 22. What is the age of the person who entered the room?
Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer: 52 years

Step-by-step explanation:

The formula for calculating mean = sum of each data / total number

Let the age of the sixth person be x , then

mean = 23 + 13 + 17 + 12 + 15 + x / 6

That is :

22 = 23 + 13 + 17 + 12 + 15 + x / 6

22 = \frac{80+x}{6}

80+ x = 22 x 6

80 + x = 132

x = 132 - 80

x = 52

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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p
Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that X = 80, \mu = 77, \sigma = 4.9

So

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

Z = \frac{80 - 77}{4.9}

Z = 0.61

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that X = 78, \mu = 75, \sigma = 3.7. So

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

Z = \frac{75 - 78}{3.7}

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6 0
2 years ago
Find the values of the variable
Leno4ka [110]

Answer:

Step-by-step explanation:

a = 180 - 100

= 80 degrees

b = 180 - 80

= 100 degrees

c = 180 - 135

= 45 degrees

8 0
2 years ago
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