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Andrej [43]
3 years ago
14

PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

  1. 7-5 => 2
  2. -7+5 => -2
  3. -7-5 => -12
  4. 7-(-5) => 12

Step-by-step explanation:

Lets solve the expressions one by one

<u>1. 7-5</u>

we can see that it is simple subtraction. A smaller number is being subtracted from a large number.

So the answer is 2

<u>2. -7+5</u>

There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.

In this case, 7 is larger and has negative sign, the answer will be -2

<u>3. -7-5</u>

When there are two numbers with minus sign they are added but the answer has the minus sign with it.

So the answer will be: -12

<u>4. 7-(-5)</u>

When minus is multiplied with minus it converts to positive

So

= 7-(-5) = 7+5 = 12

Hence,

  1. 7-5 => 2
  2. -7+5 => -2
  3. -7-5 => -12
  4. 7-(-5) => 12
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Remove parentheses.

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Make the denominators the same as the LCD.

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Simplify. Denominators are now the same

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Join the denominators

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3 years ago
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during Saturday's 12-mile hike Jim walk 5 miles in the first hour she then walk three more miles during the next hour what fract
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Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 137.1 ft an
Rama09 [41]

Answer:

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 137.1, \sigma = 3.2

A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 132.3. So

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

Z = \frac{132.3 - 137.1}{3.2}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.

My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.

This is 1 subtracted by the pvalue of Z when X = 143.5. So

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

Z = \frac{143.5 - 137.1}{3.2}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.

7 0
3 years ago
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