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3 years ago

Is the additive inverse of an integer always negative?

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

Yes it is always a negative because that is the only way it would be an additive is if it was a negative number

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Agiven line has the equation 10x+27-2

bagirrra123 [75]

Answer:

y=7 so all of the y's are 7 but the last one is 4

8 0

2 years ago

Explain how to explain if a angel if a right angel without measuring it

AURORKA [14]

Answer:

Opposite of the hypotenuse

Step-by-step explanation:

In a right triangle the right angle (90 degrees) is opposite of the hypotenuse

7 0

3 years ago

How do I factor out the coefficient of the variable -3/5k-3/10?

Helen [10]

Answer:

make all the numbers have the same denominator, then simply see what multiplies to equal both fractions. your answer should be -3/10(1/5k+1)

Step-by-step explanation:

7 0

3 years ago

A card is chosen at random from a deck of 52 cards. What is the probability that a king or queen is chosen?

Slav-nsk [51]

The answer is B) 2/13.

An easy way to figure this out is to find what the unsimplified probability would be:

Since there are 8 kings and queens in total, the number is:

8/52

But, since these are both even numbers, they can be simplified.

1/4 x 8 = 2

1/4 x 52 = 13

2/13

Since 13 is a prime number, the answer cannot be simplified anymore.

4 0

3 years ago

A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with

tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N( $\mu = 12.56, \sigma^{2} = 6.7^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 12.56 hours

$\sigma$ = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X $\leq$ 12)

P(X < 15) = P( $\frac{X-\mu}{\sigma}$ < $\frac{15-12.56}{6.7}$ ) = P(Z < 0.36) = 0.64058

P(X $\leq$ 12) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{12-12.56}{6.7}$ ) = P(Z $\leq$ -0.08) = 1 - P(Z < 0.08)

= 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.

7 0

3 years ago