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wolverine [178]
3 years ago
5

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0

Answer:

C. The data value must be less than the mean.

Step-by-step explanation:

We have been given a statement and we are asked to choose the correct option about our given statement.

Since a z-score tells us that a data value is how many standard deviation away from mean.

To find the z-score for a given data value or raw score, we subtract the mean of data set from the given raw score and divide the result by standard deviation of the data set

If a data value is greater than mean, then it will have a positive z-score. If a data value is smaller than mean, then it will have a negative z-score.

Upon looking at our given choices we can see that option C is the correct choice.

Tamiku [17]3 years ago
4 0
<span>The data value must be less than the mean.</span>
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How many litres of milk can be put in six hemispherical bowl each of diameter 35cm​
Lesechka [4]

Answer:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

Step-by-step explanation:

The volume of a hemisphere (V), measured in cubic centimetres, is obtained from this formula:

V = \frac{2\pi}{3}\cdot R^{3}

Where R is the radius of the hemisphere, measured in centimetres.

We know that radius is the half of the diameter (D), measured in centimetres, then:

R = 0.5\cdot D

(D = 35\,cm)

R = 0.5\cdot (35\,cm)

R = 17.5\,cm

Now, we get the volume of each hemispherical bowl:

V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}

V \approx 11224.649\,cm^{3}

The total volume of six hemispherical bowl is:

V_{T} = 6\cdot V

V_{T}= 6\cdot (11224.649\,cm^{3})

V_{T} = 67347.894\,cm^{3}

From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

V_{T} = 67.348\,L

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.

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A code consists of two digit numbers chosen from 00-99 (i.E 00, 01, 02…..99) followed by two different letters of the alphabet.
Ede4ka [16]

Answer: 1/67600

Step-by-step explanation:

probability that the code is 43MZ:

Probability = (Total Required outcome / total possible outcomes)

Possible outcomes (digit) = (00,.............. ..., 99)

2.) possible outcomes (alphabet) = (A, B,............... .., Z)

P(43MZ) = P(43) × P(M) × P(Z)

P(43) = 1/100

P(M) = 1/26

P(Z) = 1/26

THEREFORE ;

P(43MZ) = (1/100) × (1/26) × (1/26) = 1/67600

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3 years ago
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