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Alex787 [66]
1 year ago
10

1. Use the given translation rule to find the image coordinates. Rule: (x, y) –(x - 4, y + 3) A(4,6) →A') and B(-2,3) -→B'().O A

'(0,9) and B'(-2,3)O A'(8,3) and B'(2,0)O A'(0,9) and B'(-6, 6)O A' (4,6) and B'(-6, 6)
Mathematics
1 answer:
artcher [175]1 year ago
4 0

We have to translate the coordinates using the given rule.

The given rule is (x-4,y+3)

Now we have to translate the point A(4,6) using the given rule.

Then,

A' is (4-4,6+3)=(0,9)

Now the point B(-2,3) is to be transformed.

Then,

B' is (-2-4,3+3)=(-6,6)

Hence the answer is A'(0,9) and B'(-6,6)

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Answer:

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Step-by-step explanation:

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sattari [20]

Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

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Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

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3 years ago
The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams
JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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.

Mean of 90 grams and a standard deviation of 2 grams.

This means that \mu = 90, \sigma = 2

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

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Z = -2

Z = -2 has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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