Your answers should be A, C, E
When you plug those numbers into the equation, the answers are equal to or less than 8. The 'x' values are the numbers listed first in the ordered pair, the number following is the 'y' value.
Ones that will work
a.) (-6, 0)
(-6) + 3(0) ≥ -8
-6 + 0 ≥ -8
-6 ≥ -8
c.) (-5, -1)
(-5) + 3(-1) ≥ -8
-5 - 3 ≥ -8
-8 ≥ -8
e.) (-1, -2)
(-1) + 3(-2) ≥ -8
-1 - 6 ≥ -8
-7 ≥ -8
Ones that will not work
b.) (0, -3)
(0) + 3(-3) ≥ -8
0 - 9 ≥ -8
-9 ≥ -8
d.) (-16, 2)
(-16) + 3(2) ≥ -8
-16 + 6 ≥ -8
-10 ≥ -8
Hope this helps!
a. Find the probability that an individual distance is
greater than 214.30 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (214.30 – 205) / 8.3
z = 1.12
Since we are looking for x > 214.30 cm, we use the
right tailed test to find for P at z = 1.12 from the tables:
P = 0.1314
b. Find the probability that the mean for 20 randomly
selected distances is greater than 202.80 cm
We find for the value of z score using the formula:
z = (x – u) / s
z = (202.80 – 205) / 8.3
z = -0.265
Since we are looking for x > 202.80 cm, we use the
right tailed test to find for P at z = -0.265 from the tables:
P = 0.6045
c. Why can the normal distribution be used in part (b),
even though the sample size does not exceed 30?
I believe this is because we are given the population
standard deviation sigma rather than the sample standard deviation. So we can
use the z test.
Hello there! Your answer would be y = 0.5x - 3.
To find the equation, use slope intercept form, y = mx + b. <em>(m = slope, b = y intercept)</em>
For the slope, solve by subtracting the y values over the x values.
- 5 - - 3 / 0 - 4
- 2 / - 4
The negatives cancel out, and you are left with 0.5 as your slope. Plug that into m.
y = 0.5x + b
Now to find the y intercept. To do this, we can replace the x and y values into the equation and solve for b.
-5 = 0.5(4) + b
-5 = 2 + b
- 3 = b
so, the y intercept has a value of -3. Plug that in to the final equation.
y = 0.5x - 3
Hope this helps and have a great day!
Answer:
31/8 = 3 7/8 = 3.875
Step-by-step explanation:
7 3/4 /2 = 31/8 = 3 7/8 = 3.875
Unknown if you wanted to be clever
on average means typically so there is data called "outliers"
Moreover it doesn't say what average percent of the day and it doesn't mention the planet, namely Earth..
there could be sloths on other planets and those other planets are likely to have different hours in the day.