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Marat540 [252]
2 years ago
15

21. The area of a triangle with a base of 12 cm and a height of 9.6 cm

Mathematics
1 answer:
Nastasia [14]2 years ago
4 0
The equation for area of a triangle is A= 1/2bh so a=1/2(12cm)(9.6cm)
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For a data set of the pulse rates for a sample of adult? females, the lowest pulse rate is 39 beats per? minute, the mean of the
Zarrin [17]

Answer:

a) The difference is of 35 beats per minute.

b) So 3.07 standard deviations below the mean.

c) Z = -3.07.

Step-by-step explanation:

Z-score:

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.

In this question:

Mean \mu = 74, standard deviation \sigma = 11.4

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39 - 74 = -35

The difference is of 35 beats per minute.

b. How many standard deviations is that? [the difference found in part? (a)?

|Z| when X = 39. So

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

Z = \frac{39 - 74}{11.4}

Z = -3.07

|Z| = 3.07

So 3.07 standard deviations below the mean.

c. Convert the pulse rate of 39 beats per minutes to a z score.

From item b. above, Z = -3.07.

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4. D-> (0.5, 0)                                 8. A and D-> 8 units

-------------------------------- WORD PROBLEMS------------------------------------------

9. 8 feet

10a. (-4, -1)                                              10b. (4, 1)


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3 years ago
The sum of the measures of the two angles of a linear pair must be
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