Step-by-step explanation:
Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
Answer:
y = 3
x = - 3
Step-by-step explanation:
First we represent "x" through "y"
y = x + 6
x = y - 6
Then we substatute this value instead of "x" in the other formula, and so we get...
y = - 2x - 3
y = - 2(y - 6) - 3
y = - 2y + 12 - 3
3y = 9
y = 3
Now that we know "y" we can find out "x" by doing...
x = y -6
x = 3 - 6
x = - 3
Answer:
option B
Step-by-step explanation:
Given,
mean result (μ) = 65
standard deviation (σ)= 15
probability that student will score between 50 and 80
=
=
=
= P(Z < 1) - P(Z < -1)
Using z table,
= 0.8413 - 0.1587
= 0.6826
the correct answer is option B
Answer:
10.5−2.25
=10.5−2.25
=10.5+−2.25
=8.25
Step-by-step explanation:
I hope this helps you
Answer:
y = 1/4(x + 1)^2 + 3.
Step-by-step explanation:
The general form is (x - h)^2 = 4p(y - k) where the focus is (h, k+p) and the directrix is y = k-p
So we have h = -1
k + p = 4
k - p = 2 Adding:
2k = 6 so k = 3 and p = 1.
Therefore:
(x + 1)^2 = 4(y - 3)
4y = (x + 1)^2 + 12
y = 1/4(x + 1)^2 + 3.