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4 years ago

(4x – 12) + (–x + 7)

Mathematics

2 answers:

Evgesh-ka [11]4 years ago

8 0

Answer:

3x-5

Step-by-step explanation:

(4x – 12) + (–x + 7)

Open the parenthesis

=4x-12-x+7

Solve the like terms:

=3x-5

The answer is 3x-5

Andre45 [30]4 years ago

5 0

Answer:

3x -5

Step-by-step explanation:

(4x – 12) + (–x + 7)

= 4x – 12 –x + 7

= 3x -5 (answer)

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2 + − 1 ( − ) + 7 ( 2 − )

olasank [31]

Answer:

Step-by-step explanation:

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3 years ago

The function g(n)=n²-6n+16 represents a parabola.

goblinko [34]

Part A: (n^2-6n)+16

[(n^2-6n+9)-9]+16

(n-3)^2+7

Part B: From the above result,

Vertex (3,7) this is the minimum point of the graph since the coefficient of a is positive

Part C: The axis of symmetry is basically the x coordinate of the vertex, so the axis of symmetry is x=3

Hope this helps!

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4 years ago

The ratio of two numbers is 4:7 .If the greater <br>number is 49, find the smaller one.

Bingel [31]

Answer:

Step-by-step explanation:

good luck

3 0

3 years ago

Read 2 more answers

How to solve this using probability

Fudgin [204]

To solve this using probability simply count the shapes that have at least 4 sides, and represent it as a fraction among all shapes in the spinner.

P(4 sides) = 5/6.
P(tails) = 1/2.

Both are independent events and as such must be multiplied with each other.

5/6 • 1/2 = 5/12,

This is the combined probability of both events occurring.

8 0

3 years ago

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2500 individ

Ne4ueva [31]

Answer:

The approximate distribution of the number who carry this gene is approximately normal with mean $\mu = 5$ and standard deviation $\sigma = 2.23$

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they carry the defective gene that causes inherited colon cancer, or they do not. The probability of a person carrying this gene is independent from other people. So the binomial probability distribution is used to solve this question.

A sample of 2500 individuals is quite large, so we use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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:

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

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer.

This means that $p = \frac{1}{500} = 0.002$

In a sample of 2500 individuals, what is the approximate distribution of the number who carry this gene?

$n = 2500$

$\mu = E(X) = np = 2500*0.002 = 5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{2500*0.002*0.998} = 2.23$

So the approximate distribution of the number who carry this gene is approximately normal with mean $\mu = 5$ and standard deviation $\sigma = 2.23$

4 0

3 years ago