What is this expression in factored form? x^2+13x+42

Mathematics

1 answer:

Allushta [10]4 years ago

4 0

Answer and explanation:

$x^{2} + 13x + 42$

(x + 6)(x + 7)

List the multiples of 42

42: 1 2 3 6 7 14 21 42

Then see which of the multiples add up to 13

1 x 42 = 42 --> 1 + 42 $\neq$ 13

2 x 21 = 42 --> 2 + 21 $\neq$ 13

3 x 14 = 42 --> 3 + 14 $\neq$ 13

6 x 7 = 42 --> 6 + 7 = 13

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Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are grea

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Answer:

27% of the possible Z values are greater than 0.613

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:

$\mu = 0, \sigma = 1$