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telo118 [61]
3 years ago
9

Four points from a line are shown in the table below.

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

Correct choice is D. y=-x+3.

Step-by-step explanation:

pick any two points from the table say (0,3) and (1,2)

Now we we can use both points to find the equation of line.

slope m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1

now plug slope m=-1 and any point say (0,3) into point slope formula

y-y_1=m\left(x-x_1\right)

y-3=-1\left(x-0\right)

y-3=-1\left(x\right)

y-3=-x

y=-x+3

Hence correct choice is D. y=-x+3.

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Answer:

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Step-by-step explanation:

5 0
3 years ago
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How do I find the triangles similarity and each length
Kamila [148]
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Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location
Gennadij [26K]
First we will convert those radian angles to degrees, since my mind works better with degrees.  Let's work one at a time.  First, \frac{7 \pi }{4} * \frac{180}{ \pi }=315.  If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis.  The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2.  The cotangent of this angle, then is 1/-1 which is -1.  As for the second one, converting radians to degrees gives us that \frac{13 \pi }{6} * \frac{180}{ \pi } =390.  Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis.  The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2.  Therefore, the secant  of that angle is 2/√3.
3 0
3 years ago
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
netineya [11]

THIS IS THE COMPLETE QUESTION BELOW;

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.

Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answer

Margin error =210.8

Given:

standard deviation of 425

sample mean x=1520 dollars.

random sample n= 22

From the question We need to to calculate the margin of error for the confidence interval for the population mean .

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

4 0
3 years ago
Can someone explain this and help me with the answer?
GenaCL600 [577]

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

7 0
3 years ago
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