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3 years ago

Given an integer, how do you find it's opposite?

1 answer:

6 0

Given an integer, how do u find its opposite....

change the sign

example :
2....its opposite is -2
-3...its opposite is 3
5....its opposite is -5
-4...its opposite is 4

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Selena is 2 years older than Maria, and Sofia is 3 years younger than Maria. If the sum

Margarita [4]

Answer:

Hi! Maria is 15 years old, Selena - 17 and Sofía - 12

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3 years ago

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a storm blew down many trees. several neighbors rented a chain saw for $232.85 and helped each other cut up and stack wood. the

Kaylis [27]

9514 1404 393

Answer:

3 days

Step-by-step explanation:

You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.

The equation for the number of days (d) is ...

73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee

73.95d = 221.85 . . . . . . subtract 11

d = 221.85/73.95 = 3 . . . . divide by the coefficient of d

The saw was rented for 3 days.

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3 years ago

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Plz answer..... fill in the missing angles

MaRussiya [10]

5. We can see that angle a is the same angle as the 130° angle, since they form a Z. The same goes for b and 65°. a° = 130°, b° = 65°

6. With the same Z angles, b° = 56°. Because the angles are parallel, a° = 124°

7. Because the angles are parallel, b° = 83°, and a° = 132°

8. Because the angles are Z angles, a° = 74°. Because a° and b° are supplementary angles, b° = 180° - 74° = 106°. Because c° and 74° are supplementary angles, c° = 180° - 74° = 106°. Because d° and 65° are parallel angles, d° = 65°. Because d° and e° are opposite angles, e° = 65°

3 0

3 years ago

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Find the next item in the pattern. 0.3, 0.6, 0.9, 0.12, ...

Alla [95]

The answer is 0.15. Because it’s increasing by 0.3

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2 years ago

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A machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The tar

Lina20 [59]

Answer:

The probability that the quality control manager will shut down the machine is 0.0002.

Step-by-step explanation:

We are given that a machine is used to fill Apple Juice bottles with juice. The machine has a known standard deviation of σ = 0.05 liters. The target mean fill volume is µ = 2.0 liters.

A quality control manager obtains a random sample of 50 bottles. He will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

Let $\bar X$ = sample mean fill volume

The z score probability distribution for sample mean is given by;

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

where, $\mu$ = population mean fill volume = 2 liters

$\sigma$ = standard deviation = 0.05 liters

n = sample of bottles = 50

Now, it is provided that he will shut down the machine if the sample of these 50 bottles is less than 1.95 or greater than 2.1.

So, Probability that the sample of these 50 bottles is less than 1.95 is given by = P( $\bar X$ < 1.95)

P( $\bar X$ < 1.95) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{1.95-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z < -7.07) = 1 - P(Z $\leq$ 7.07)

= 1 - 0.9999 = 0.0001

Probability that the sample of these 50 bottles is greater than 2.1 is given by = P( $\bar X$ > 2.1)

P( $\bar X$ > 2.1) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{2.1-2}{\frac{0.05}{\sqrt{50} } }$ ) = P(Z > 14.14) = 1 - P(Z < 14.14)

= 1 - 0.9999 = 0.0001

Because the highest critical value in the z table is given as x = 4.40 for area of 0.99999.

Therefore, probability that the quality control manager will shut down the machine = 2 $\times$ 0.0001 = 0.0002.

4 0

3 years ago