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n200080 [17]
3 years ago
11

Factor x2 − 8x + 9.

Mathematics
1 answer:
kolezko [41]3 years ago
7 0

x^2 − 8x + 9

What two numbers when multiplied yield 9 but when added yield -8?

There are no such numbers.

Use the quadratic formula.

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Let the number of green apples and red apples be 8x and 3x respectively.

Given: 8x-3x =35

=> 5x =35 => x=7

Hence there are 8x=56 green apples and 3x=21 red apples.Ans.

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When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.
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Answer:

X×Y×Z%/100

Step-by-step explanation:

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The principal spent $500 to buy new classroom materials. 40% of the money he spent went towards pencils. How much money did the
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Answer:

$200

Step-by-step explanation:

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Estimate would be 30... batches
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A professor gives her 100 students an exam; scores are normally distributed. The section has an average exam score of 80 with a
frozen [14]

Answer:

6.18% of the class has an exam score of A- or higher.

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 = 80, \sigma = 6.5

What percentage of the class has an exam score of A- or higher (defined as at least 90)?

This is 1 subtracted by the pvalue of Z when X = 90. So

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

Z = \frac{90 - 80}{6.5}

Z = 1.54

Z = 1.54 has a pvalue of 0.9382

1 - 0.9382 = 0.0618

6.18% of the class has an exam score of A- or higher.

4 0
3 years ago
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