Answer:
Mean = 30516.67
Standard deviation, s = 3996.55
P(x < 27000) = 0.0011518
Step-by-step explanation:
Given the data:
28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800
Mean, xbar = Σx / n = 366200 /12 = 30516.67
Standard deviation, s = [√Σ(x - xbar) / n-1]
Using calculator, s = 3996.55
The ZSCORE = (x - mean) / s/√n
Zscore = (27000 - 30516.67) / (3996.55/√12)
Zscore = - 3516.67 / 1153.7046
Zscore = - 3.048
P(x < 27000) = P(Z < - 3.049) = 0.0011518
The line passing through (3, -1) and (-1, 5) has this slope:
5+1
m = ---------- = -3/2
-1-3
We need to find the y-intercept. To do this, substitute the knowns (-3/2 for m, -1 for y and 3 for x) into the slope-intercept equation:
-1 = (-3/2)(3) + b. Then: -1 = -9/2 + b, and so b = 9/2 - 1 = 7/2.
The desired equation is y = (-3/2)x + 7/2.
Answer:
4
Step-by-step explanation:
Lets make
be the ? in the equation.
That becomes (
x 3) - 3 = 15.
First you have to add 3 on both sides. After doing that it gets to (
x 3) = 15 - 3.
Then you simplify it to 3
= 12.
Now you divide 3 on both sides. That gets to
= 4 after doing it.
Hope this helped! If not, please let me know! <3
Answer: There are 6 sections of
of rope Mario can cut from the rope .
Step-by-step explanation:
Since we have given that
Length of the rope for the tent = 7 feet
As we know that

Length of rope is used to tie a tarp on top of the tent = 34.5 inches
Remaining length of rope is given by

According to question, the remaining rope should be cut into

So, Number of
sections of rope Mario can cut from the rope is given by

Hence, there are 6 sections of
rope Mario can cut from the rope .
Slope is -1
Y intercept is -4
this could help in the future:
y=mx+b
the m is the slope and the b is the y intercept