Answer:
Angle BCA is 74 degrees, angle MBC is 21, angle MCB is 37, and BMC is 122
Step-by-step explanation:
First off, MBC was an angle that was bisected by point M, meaning that if you took half of angle ABC, you would get your answer.
(0.5)(42)=21
Since you already have two angle measures, being ABC and BAC, you can find angle BCA by adding the two angle measures up, then subtracting by 180 to get your answer:
180=64+42+BCA, which your answer will be 74 degrees.
Now that you have found angle BCA, you take half of that angle measure to then find angle MCB, because point M bisected angles ABC, BAC, and BCA.
(0.5)(74)=37
Finally, since you have found the angles MBC and MCB, in order to find angle BMC you will have to do the same application for BCA:
180=21+37+BMC, which your answer will be 122 degrees.
Hope this helps!
Answer:
n = 50
A) show the sampling distribution of x, the sample mean average for a sample of 50 unemployment individuals.
We will use central limit theorem
So, mean of sampling distribution = 
Standard deviation of sampling distribution = 
B) What is the probability that a simple random sample of 50 unemployment individuals will provide a sample mean within one week of the population mean?
A sample mean within one week of the population mean means 
So, 
=
=
=
=0.9616-0.0384
=0.9232
The probability that a simple random sample of 50 unemployment individuals will provide a sample mean within one week of the population mean is 0.9232.
C) What is the probability that a simple random sample of 50 unemployed individuals will provide a sample mean within a half week of the population mean?
A sample mean within one week of the population mean means
So, 
=
=
=
=0.8106-0.1894
=0.6212
The probability that a simple random sample of 50 unemployed individuals will provide a sample mean within a half week of the population mean is 0.6212
Answer:
No
Step-by-step explanation:
If q=30, L=5, and K=15 is a point on the production function q=f(L, K).
Production function is an equation that expresses the relationship between the quantities of factors of production used and the amount of product obtained under the assumption that the most efficient available methods of production are used.
The combination q=30, L=5, and K=16 cannot be a point because we assume production functions are efficient.
Answer:
1. A. Set the angle and arc measures equal.
2. B. major arc
3. B. Multiply the angle measure by 2.
4. A. minor arc
Step-by-step explanation:
1. If the intercepted arc is made from a central angle then angle of arc is equal to the central angle
2. 190 is a bigger angle than 170(angle of the remaining arc)
Therefore it is a major arc.
3.If the intercepted arc is made from a inscribed angle, then the angle of arc is double of the inscribed angle.
4. 115 < 245
Therefore it is a minor arc.
Answer:
$85
Step-by-step explanation:
5000 x $70 = $350,000
4950 x $71 = $351,450
4900 x $72 = $352,800
etc.
Create an equation for the monthly revenue:
f(n) = (5000 - 50n) x (70 + n)
= 350000 + 5000n - 3500n - 50n²
= 350000 + 1500n - 50n²
where n is the amount the ticket price is increased from $70.
Differentiate, equal to zero and solve for n to find the value of n when the monthly revenue is at its maximum:
f'(n) = 1500 - 100n
1500 - 100n = 0
1500 = 100n
15 = n
Therefore, the maximum monthly revenue is when n = 15.
So the cost of the ticket will be 70 + n = 70 + 15 = 85
