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SVEN [57.7K]
4 years ago
13

Which linear inequality is represented by the graph?

Mathematics
1 answer:
aksik [14]4 years ago
5 0

Answer:

B. y ≤ 1/2x + 3

Step-by-step explanation:

To write the equation of the inequality, use the linear equation form y = mx + b. The y-intercept is b and is where the line intersects the y-axis. Here b = 3. You can find the slope m by counting between points the vertical and horizontal distances. Here it is 1/2. Substitute m = 1/2 and b = 3.

y = 1/2x + 3

Since this is an inequality and a solid line has been used, you must use ≤ and ≥. To determine which is for this equation, test the point (0,0) in each.

y ≤ 1/2x + 3                y ≥ 1/2x + 3

0 ≤ 1/2(0) + 3             0 ≥ 1/2(0) + 3

0 ≤ 3  True               0 ≥ 3 False

Since (0,0) is a part of the set of solutions, the equation which is true is the correct equation.

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A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp
Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0
3 years ago
1) y = -x + 3 and y = 2x - 6​
marin [14]

Answer:

The first one is for y = -x + 3

The second one if for y = 2x - 6​

Hope this helps, sorry if isn't the exact answer you were looking for!

5 0
4 years ago
Read 2 more answers
What is the measure of arc bc?
zzz [600]
<span>100 degrees :) cameorn mcdaniel

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7 0
3 years ago
How do you think you could represent the number 2,300 as a number times a multiple of 10? How do you think you could represent t
iren [92.7K]
Well this question is actually a piece of cake. Just pick your favorite number. Multiply it by 10. Then do whatever operation you want with the 2,300. For the exponent part of this. Lets say we do it this way y times z equals 2,300. Exponents are letters used in mathematical terms. So any letter can be used to represent any number.
5 0
3 years ago
Tell whether (-3, 3) is a solution of the system.​
pickupchik [31]
Yes; to figure this out just plug the x,y values into the equation and make sure they come out true
3 0
3 years ago
Read 2 more answers
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