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aliina [53]
3 years ago
14

The sum of two numbers is 8, and their product is 80.

Mathematics
1 answer:
Anettt [7]3 years ago
6 0

From their sum, the numbers are ' x ' and ' 8 - x ' .

From their product,  x(8 - x) = 80 .

When you massage and manipulate this equation into the standard
quadratic form, you have

         x² - 8x + 80 = 0  .

Applying the quadratic formula to tease out the solutions of this equation,
we find that they are

          <em> x = 4 + 64 i</em>
and
          <em> x = 4 - 64 i</em>


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What is the slope of a line that passes through each pair of points (2,2), (3,1)
Harrizon [31]
The slope of a line that passes through each pair of points (2,2), (3,1) is (4,2), (0,2)
6 0
3 years ago
(6,-2), (12, 1)<br> Write equation in slope intercept form
bazaltina [42]

Answer:

y=1/2x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-(-2))/(12-6)

m=(1+2)/6

m=3/6

simplify

m=1/2

----------------------

y-y1=m(x-x1)

y-(-2)=1/2(x-6)

y+2=1/2(x-6)

y=1/2x-6/2-2

y=1/2x-3-2

y=1/2x-5

5 0
2 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

So

\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
The Jimenez family watched television for a total of 9 hours during a one-week
oee [108]

Answer:

1.3333333333333333 hrs

or

1 1/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can someone tell me what is 6=2(y+2)
tatuchka [14]

Distribute the 2 through the parentheses

on the right side of the equation.

2(y) is 2y and 2(2) is 4.

So the problem now reads 6 = 2y + 4.

Now we can subtract 4 from both

sides of the equation to get 2 = 2y.  

Now divide both sides of the

equation by 2 and <em>1 = y</em>.

8 0
3 years ago
Read 2 more answers
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