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2 years ago

Write an equation of the line that passes through (2 -5) and is parallel to the line 2y=3x+10

Mathematics

1 answer:

andrey2020 [161]2 years ago

8 0

Step-by-step explanation:

Given equation is

2y = 3x + 10

3x - 2y + 10 = 0 .....i)

Any line parallel to line I) is

3x - 2y + k = 0 ......ii)

As the line two passes through the point ( 2 , - 5 ) Now substituting the values

3 * 2 - 2 * ( - 5) + k = 0

6 + 10 + k = 0

16 + k = 0

k = - 16

Now putting the value of k in equation two

3x - 2y + 16 = 0 is the required equation.

Hope it will help :)❤

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Please answer asap.

Alexxandr [17]

Answer:

I believe the answer is B

Step-by-step explanation:

Supplementary means they equal 180°. There for out of the answer choices, the most logical would be b. 65°

115+65=180°

Hope this helps!

6 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?

$n = 2500$

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

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

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

140 fluid ounces increased by 45%

liberstina [14]

$140\cdot45\%=\\\\140\cdot0.45=\\\\63\\\\140+63=203\\\\There\ are\ 203\ fluid\ ounces$

3 0

2 years ago

Read 2 more answers

Which characteristics describe the scatterplot?

Firdavs [7]

Like other graphs, they use an x axis, and a y axis. It shows how one variable can affect another, hence the x and y (independent variable versus the dependent variable). With scatter plots you can use it to find a line of best fit that shows an average correlation relationship of the data. Scatter plots also allow you to find any outliers (those little dots that aren't in a pattern, correlation, or area with the majority of other points). It usually shows a relationship between TWO sets of data. :) :>

Hope this helps! :3 :>

6 0

2 years ago

Find the length of the following sides:<br> DF<br> AB<br> EF

arsen [322]

Answer:

DF) = 10

AB) = 5

EF) = 12.5

Step-by-step explanation:

For length AB

$3^{2} +4^{2} = AB^{2}$ -> 9+16= $\sqrt{25}$ -> 5