These angles are equal due to the interior angles rule in which alternating interior angles are congruent
therefore 5x+12=117
5x=105
x=21
Answer:
The variance for the number of tasters is 4.2
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The variance of the binomial distribution is:
It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20
This means that
So
The variance for the number of tasters is 4.2
Because X is opposite of the 38° angle and 35 is adjacent to the 38° angle, you would use tan. To set up the equation you would put X over 35 and set an equal to 38(tan). Then you would multiply both sides by 35 to cancel out the 35 on the bottom of the X. When you multiply 38(tan) by 35, you get X equals 27.
Well. To put it simple, let's start off with an equation to help figure out this problem:
16/8 = ? / 2.55
(16 ounces are in a pound btw)
8 x 2 = 16
2.55 x 2 = 5.1
meaning:
16/8 = 5.1/2.55
Answer: 5.1 ounces of barley can be purchased with $2.55
Hope this helped! :D
Answer:
option (a) $250
Step-by-step explanation:
Data provided in the question:
Fixed cost = $500
For 100 units produced Total cost = $3,500
For 101 units produced, Total cost = $3,750
Now,
Marginal cost is calculated as:
Marginal cost =
thus,
Marginal cost =
or
Marginal cost =
or
Marginal cost = $250
Hence,
The correct answer is option (a) $250