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olasank [31]
3 years ago
7

How can linear equations and functions be written and graphed?

Mathematics
1 answer:
Sholpan [36]3 years ago
6 0
Linear equations always follow the basic formula of y = mx + b, m being the slope and b being the constant.

They can be graphed by using a table of values and calculating the y values for each x value because the function is simple enough to do by hand. The graph would look like a straight line.
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Which of the following represents the characteristics of the graph of x < 4?
AnnZ [28]
The answer is B. closed circle on 4 and shaded to the right.
4 0
4 years ago
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IQ scores are normally normally distributed with a mean of 100 and center deviation of 15 if one person is randomly selected wha
Arlecino [84]

Answer:

22.86% probability that the persons IQ is between 110 and 130

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 100, \sigma = 15

If one person is randomly selected what is the probability that the persons IQ is between 110 and 130

This is the pvalue of Z when X = 130 subtracted by the pvalue of Z when X = 110.

X = 130

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

Z = \frac{130 - 100}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 110

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

Z = \frac{110 - 100}{15}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486

0.9772 - 0.7486 = 0.2286

22.86% probability that the persons IQ is between 110 and 130

6 0
3 years ago
Can someone please help I’m very confused
Oxana [17]

y + 6 = 4/3(x - 2)

First, distribute the 4/3

y + 6 = 4/3x - 8/3

Subtract 6 from both sides.

y = 4/3x - 26/3

-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)

After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.

0 + 3 = 3

-26/3 + 4 = -14/3

The next point should be at (3, -14/3)

Add as many points as your professor requires.

8 0
3 years ago
Read 2 more answers
−|9| = −9 True or False
Ket [755]

Answer:

false

Step-by-step explanation:

7 0
3 years ago
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The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?
Alecsey [184]

Answer:

D

Step-by-step explanation:

Whole numbers are the basic counting numbers: 0,\ 1,\ 2,\ 3,\ 4, \....

Integers are whole numbers and negative numbers: ...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...

Rational numbers are all fractions \frac{m}{n}, where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number \pi is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number \pi is irrational number -2\pi

Correct option - option D

7 0
3 years ago
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