Answer:
m = 0.5, b = 2, greater than symbol >
Step-by-step explanation:
Slope:
We can find the slope value by choosing two points on our line (the two green dots are already chosen for us) and dividing the vertical distance between the points (this is called the rise) by the horizontal distance between the points (this is called the run)
Rise ÷ Run
1 ÷ 2 = 0.5
Y-Intercept:
The y-intercept is where the line cuts through the vertical y-axis. We can see that this is at y = 2
Inequality:
The area above the line is shaded in. This is to show that all values greater than the line are applicable, so we will use the greater than symbol, >
The original volume of the shape was 250. You come up with this by multiplying all sides together. So, 5x5x10=250.
We do the same for the new shape, which now has a 7 in place of the 5. So 7x7x10=490.
Lastly, we subtract the volume of the new shape from the volume of the old shape to see the difference. So, 490-250=240.
So the answer to this is 240.
You haven't shared all of the possible answers. The graph you've shared has a y-intercept of 4, which differs from the y-intercept of <span>y=−1/2x+8.
Go on to the other 3 possible answers. Which answer shows a y-intercept of 8 and a slope of -1/2?</span>
12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours
(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100
Hope this helps! (If not correct me if its wrong xd)
Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got: