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4 years ago

"An integer is negative if and only if it is less than zero."

Mathematics

2 answers:

Lostsunrise [7]4 years ago

8 0

Answer:

An integer is not negative if and only if it is not less than zero.

Step-by-step explanation:

Observing each statement individually:

An integer is negative if and only if it is not less than zero

A number that is NOT less than 0 is greater than zero. Negative numbers are less than 0, so this is clearly incorrect.

An integer is not negative if and only if it is less than zero.

A number that is NOT negative is positive. Positive integers are integers greater than zero, so this is also incorrect.

An integer is not negative if and only if it is not less than zero.

A number that is NOT negative is positive. A number that is NOT less than zero is greater than zero, or positive. This statement is correct.

An integer is less than zero if and only if it is not negative.

A number that is less than zero is negative, and this statement claims that a number less is only less than zero if it is NOT negative. This is incorrect.

kkurt [141]4 years ago

5 0

B is the answer cause I just need points

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Read 2 more answers

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

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Answer:

Diagonal of a rectangular frame = 85 inch

Step-by-step explanation:

Given:

Length of rectangle = 77 inch

Width of rectangle = 36 inch

Find:

Diagonal of a rectangular frame

Computation:

Diagonal of a rectangle = √l² + b²

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3 years ago

Find the slope of the line through each pair of points (2, -11), (7, -20)

baherus [9]

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2 years ago

According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume t

Ad libitum [116K]

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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 $\mu$ , standard deviation $\sigma$

What is the probability that a household in Maryland has an annual income of X or more?

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3 years ago