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sattari [20]
3 years ago
12

Which statement is always true? A.) The absolute value of an integer is equal to the opposite of the integer B.) a positive inte

ger is greater than a negative number C.) the absolute value of an integer is greater than zero D.) An integer is greater than its opposite
Mathematics
2 answers:
8_murik_8 [283]3 years ago
6 0

Answer:

a positive integer is greater than a negative number

Step-by-step explanation:

Let us consider each option one by one:

A.) Let us consider a counter example where the integer = 2

As per option A , abs(2) = -2

But this is incorrect. So option A is invalid.

B) Any positive integer is greater than 0

Any negative number is less than 0.

So, any positive integer is greater than a negative number.

C.) Let us consider an integer 0.

abs(0) = 0

But this is not greater than 0. So this option is not always valid.

D) Let us consider an integer -2.

Its opposite is 2.

But -2 < 2

So option D is invalid.

Ahat [919]3 years ago
3 0

Answer:

the absolute value of an integer is equation to the opposite of the integer

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2 years ago
Recall the chapter example which described the fact that the mean IQ in large, diverse populations is 100 and the standard devia
vova2212 [387]

Answer:

The margin of error for the 99% confidence level for this sample is ±2.23.

None of the given figures is close to the answer:

E. None of the above

Step-by-step explanation:

margin of error (ME) around the mean can be calculated using the formula

ME=\frac{z*s}{\sqrt{N} } where

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  • s is the population IQ standard deviation (15)
  • N is the sample size (300)

Using these numbers we get:

ME=\frac{2.576*15}{\sqrt{300} }  ≈ 2.23

7 0
2 years ago
If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
Rudik [331]

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

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3 0
2 years ago
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Answer:

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Step-by-step explanation:

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45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

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2 years ago
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