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3 years ago

If a number is odd, then it is an integer and a prime number.

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

The conclusion of the conditional statement is;

it is an integer and a prime number

Step-by-step explanation:

The statement that the argument claims to be true or the statement that the rest of a conditional statement leads to is the conclusion of a conditional statement

Given a conditional statement, also known as an if-then statement, which can be represented symbolically as p → q, such that the hypothesis is p and the conclusion is q.

In the given statement, the hypothesis, p = a number is odd, while the conclusion, q = it is an integer and a prime number

Therefore, the conclusion of the conditional statement is it is an integer and a prime number.

However, only the converse of the statement is true, which is given as follows;

If a number is an integer and a prime number, then it is an odd number

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A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib

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Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 502, \sigma = 115$

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

$Z = \frac{590 - 502}{115}$

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

$Z = \frac{400 - 502}{115}$

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

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2 years ago

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fiasKO [112]

Answer:

Step-by-step explanation:

Given the 2 equations

4x - 5y = 18 → (1)

3x - 2y = 10 → (2)

Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term

12x - 15y = 54 → (3)

- 12x + 8y = - 40 → (4)

Add (3) and (4) term by term to eliminate x, that is

- 7y = 14 ( divide both sides by - 7 )

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Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

4x - 5(- 2) = 18

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4x = 8 ( divide both sides by 4 )

x = 2

solution is (2, - 2 ) → D

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