Divide: (x²-11x+30 ) by (x-5)

Mathematics

2 answers:

lara31 [8.8K]3 years ago

8 0

X-6 the process is shown in the following picture

emmainna [20.7K]3 years ago

4 0

Answer:

(x + 5)(x - 6)

First, start with the distributive property

=(x)(x) + (x)(-6) + (5)(x) + (5)(-6)

= x² - 6x + 5x - 30

= x² - x - 30

Thus,

The correct answer is option A

Step-by-step explanation:

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Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 61 miles/hour. The hig

cricket20 [7]

Answer:

The standard deviation of the speeds of cars travelling on California freeway is 6.0088 miles per hour.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

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

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 This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 61 miles/hour. This means that $\mu = 61$ .

The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/hour. The records show that exactly 1% of the speeds exceed this limit. This means that the pvalue of Z when $X = 75$ is 0.99. This is $Z = 2.33$