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2 years ago

Find the cardinal number of the given set. A = {{3, 5, 7, ... 25}}

Mathematics

1 answer:

Allisa [31]2 years ago

7 0

Answer:

Step-by-step explanation:

The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;

A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}

Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12

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Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

miss Akunina [59]

Answer:

Mean = 0, Standard deviation = 1

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 77.5 beats per minute

Standard Deviation, σ = 11.6 beats per minute

We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Putting the values, we get,

$z_{score} = \displaystyle\frac{x-77.5}{11.6}$

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.

Mean = 0, Standard deviation = 1

7 0

3 years ago

need answers to this asap. I am a multiple of 70. I'm between 300 and 500. I'm 20 more than a 100. who am I

Jlenok [28]

Im not 100% sure but I would say 420

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3 years ago

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The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun

polet [3.4K]

9514 1404 393

Answer:

base: 2.18 m
height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

h = 3 +2b

and the area is ...

A = 1/2bh

8 = 1/2(b)(3 +2b)

16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

2(b +3/4)^2 = 17.125

(b +3/4)^2 = 8.5625 . . . . . divide by 2

b + 0.75 = √8.5625 ≈ 2.9262

b = -0.75 +2.9262 = 2.1762

h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

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3 years ago

The temperature in fargo was -28 degrees on monday afternoon. by the evening it dropped an additional 15 degrees. what was the t

sashaice [31]

Step by step explanation: -28-15

When adding negative with positive it will always be negative so for this question, subtract -28 with 15 which would be -43. So -43 would be the temperature in the evening.

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2 years ago

What is 6 divided by 22.02

Sidana [21]

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

0.27

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2 years ago

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