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Daniel [21]
3 years ago
12

A data value is considered​ _______ if its​ z-score is less than minus2 or greater than 2.

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
5 0

Answer:

Unusual

Step-by-step explanation:

we know that

The z-score is a measure of how close the given data point is to the mean of the values given with the standard deviation

so

if its z-score is greater than or equal to -2, or less than or equal to 2., then the data value is considered ordinary

if its z-score is less than -2 or greater than 2, then the data value is considered unusual

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There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
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Answer:

Probability that the person doesn't use any facility = 0.0889

Step-by-step explanation:

Total number of people in a sports center = 135

Number of people using gym 'G' = 73

Number of people using swimming pool 'P' = 59

Number of people using track 'T' = 31

Number of people using gym and pool (G∩P) = 19

Number of people using pool and track (P∩T) = 9

Number of people using gym and track (G∩T) = 16

Number of people using all three facilities (G∩P∩T) = 4

Therefore, from the rule of compound probability,

P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)

We know probability of an event = \frac{\text{Favorable event}}{\text{Total outcomes}}

We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

                 = \frac{1}{135}(73+59+31-19-9-16+4)

                 = \frac{123}{135}

And probability that a person doesn't use any facility = 1 - P(GUPUT)

= 1 - \frac{123}{135}

= \frac{135-123}{135}

= \frac{12}{135}

= \frac{4}{45} ≈ 0.0889

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3 years ago
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Answer:

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Step-by-step explanation:

When alternate interior angles (∠ABC and ∠BCD) are congruent, it means the lines are parallel.

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Answer:

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Range: The set of possible output values of a function

Step-by-step explanation:

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You used 5 cups of flour to bake 80 cookies. How many cups of flour do you need if you bake 144 cookies?
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Answer:

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Step-by-step explanation:

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