Answer:
72 1/4
step-by-step explanation:
For this case we must find the value of the variable "p" of the following equation:

We apply distributive property on the left side of the equation taking into account that
and
:

We add similar terms:

We subtract
from both sides of the equation:

We subtract 8 from both sides of the equation:

We divide by -6 on both sides of the equation:

Answer:

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
Answer:

Step-by-step explanation:
Angle <em>b</em> and 135° form a <em>linear pair</em>, so when summing them up to 180°, you will have 45° left over:

Now, by the <em>Vertical</em><em> </em><em>Angles</em><em> </em><em>Theorem</em>, angle <em>a</em> and 70°, in this case, are to be in <u>congruence</u> with each other, so you have that.
Now you must find the the measure of angle <em>c</em> sinse you have already found the measure of two angles already:

I am joyous to assist you at any time.