Factor: 28k^3-24k^2+49k-42 I will give Brainliest to the first person :)

Mathematics

1 answer:

serious [3.7K]3 years ago

7 0

Answer:

(4k^2+7)(7k+6)

Step-by-step explanation:

1. group the first two terms (28k^3-24k^2). The greatest common factor is 4k^2. If you factor that out you get 4k^2(7k-6)

2.When you group the last two terms (49k-42). you can factor out a 7.

7(7k-6).

3. There is a (7k-6) in both sections so you can combine all the terms.

4k^2(7k-6) 7(7k-6) becomes (4k^2)(7k-6)

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Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with

Stels [109]

Answer:

P(X > 25) = 0.69

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 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.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that $\mu = 26, \sigma = 2$

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

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

$Z = \frac{25 - 26}{2}$

$Z = -0.5$

$Z = -0.5$ has a pvalue of 0.31

1 - 0.31 = 0.69.

P(X > 25) = 0.69

4 0

3 years ago

Which expression can be written as k square root 3 where k is an integer

Damm [24]

Answer:

A simple expression is $\sqrt{48}$ = 4 $\sqrt{3}$

Step-by-step explanation:

Surds are irrational numbers expressed with respect to a square root. There are some basic rules required when dealing with surd.

Integers are numbers that do not have a decimal or fractional part i.e whole numbers. So, a simple expression that can be written as k square root 3 where k is an integer is $\sqrt{48}$ .

So that,

$\sqrt{48}$ = $\sqrt{16 * 3}$