So let's start with the slope-intercept form of a linear equation. That is y = mx+b where m is slope and b is the y intercept. But, this is an inequality. So first we have to look at the way the graph is shaded. Since it is shaded upwards, you know that it is in the form of y ≥ mx + b. It tells you that the y-intercept is c because the line hits the y-axis at (0,c). Hence the equation is now y ≥ mx + c. But now, we have to find the slope of the graph. This is found by "rise over run" (I am sure you have heard of this). Count how many units the graph went down/up and how many units the graph went left/right and put it in fraction form of (units down or up) / (units left or right). Well it moves 2 units down so plug -2 into the top. It moved 1 unit right, so plug +1 into the denominator. So, the slope is -2. Hence we finally have our formula: y ≥ -2x + c which is the 5th choice.
The slope is 1 and the Y-intercept is -3
The answer is 162.6 cm.
We know that <span>1 in. = 2.54 cm.
Make a proportion. If 1 in is 2.54 cm, 64 in are how many cm:
1 in : 2.54 cm = 64 in : x
x = </span>2.54 cm · 64 in ÷ 1 in = 162.56 cm ≈ 162.6 cm
Answer:
x=9
Step-by-step explanation:
we have been given the following proportion;
x/18 = 8.5/17
we are required to solve for x. In order to solve for x, we simply make x the subject on the left hand side . This can be done by multiplying both sides by 18;
(x/18)*18 = (8.5/17)*18
x = 153/17
x = 9
Consider this population data set: 4,6,7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ran
Andrej [43]
Answer:
The population mean is the sum of the 12 data set values divided by 12:
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean = 186/12 = 15.5.
The sample mean is the sum of the 4 sample values divided by 4:
11 + 31 + 22 + 12 = 76.
Therefore the sample mean = 76/4 = 19.
The sample mean is more than the population mean by 19 - 15.5 = 3.5.
hope it helped
Step-by-step explanation: