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3 years ago

The table shows points that lie on a line.

Mathematics

1 answer:

svp [43]3 years ago

6 0

Answer:

$y = 4*x+3$

Step-by-step explanation:

First pick any 2 set of points to find the slope. I chose (1,7) and (3,15)

The slope formula is shown below

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

Now fill in the variables and solve

15 - 3 = 12

3 - 0 = 3

Divide

$12/3 = 4$

So the slope is 4

The y intercept is 3 since that is where x = 0

Now we can write the equation

$y = 4*x+3$

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What does K=Y/X stand for and mean?

Mamont248 [21]

Answer:

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Step-by-step explanation:

the meaning of it means constant of proportionality

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3 years ago

How do I graph this?

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Answer:

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Step-by-step explanation:

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3 years ago

A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe

natka813 [3]

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

$a+b+c+d=14\ ft.$

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Use the distributive property for this expression:

$7a+7b+7c+7d=7(a+b+c+d).$

Since $a+b+c+d=14\ ft,$ then

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3 years ago

Read 2 more answers

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9). I need help

Juliette [100K]

From the given data:<span> vertex at the origin and a focus at (0, 9), the parabola should be facing upwards. In this case, the length of the latus rectum is 9 units which is a. Hence the equation becomes y = 4 (9) x^2. The equation is equal to y = 36 x^2. The standard form is 36 x^2 - y = 0.</span>

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3 years ago

Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an

Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have:

Mean $\mu$ , standard deviation $\sigma$ .

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

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3 years ago