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
Chronological order
Hoped this help
Answer:
$117,000
Step-by-step explanation:
-0% 2004
-7% 2005
-14% 2006
-21% 2007
-28% 2008
-35% 2009
180,000 x 0.35 (35%) = 63,000
180,000 - 63,000 = 117,000
$117,000
Answer:

Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So
.
We have the equation:

Make the above replacement:

Since cotangent has period 180 degrees, we can also write this as:

So solving the following will give us a set of solutions for
:

Add
on both sides:

Subtract 10 on both sides:

Divide both sides by 2:

Symmetric property:

Answer: 49 students
Step-by-step explanation:
2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:
Let the number of students that will be sampled be y. This will be:
2/7 of y = 14
2/7 × y = 14
2y/7 = 14
Cross Multiply
2y = 7 × 14
2y = 98
y = 98/2
y = 49
49 students will be selected randomly.