A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and
balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.
Below is a sketch of the graph.
a) Write the inequality of the line.
b) Identify the ordered pair for point A.
c) Identify the ordered pair for point B.
d) State which direction they should shade and why that makes sense in context.
Below is a sketch of the graph.
a) Write the inequality of the line.
b) Identify the ordered pair for point A.
c) Identify the ordered pair for point B.
d) State which direction they should shade and why that makes sense in context.
1 answer:
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Answer:
0.004
Step-by-step explanation:
If two events A, B with probabilities P(A), P(B) are independent, then the probability of the two events ocurring at the same time A∩B is P(A)P(B).
In this case we have
P(torque=very high) = 0.3
P(torque=high) = 0.4
P(torque=average) = 0.2
P(torque=low) = 0.01
Using the product rule, we see there are
ways of partitioning 25 bolts in groups of 7,8,6 and 4 bolts.
Each one of those partitions has a probability of
So, the probability of rating 7 very high, 8 high, 6 average, and 4 low is
The value of x is 96/y where <u>y is not equal to zero.</u>
Given the expression that relates x and y as xy = 96
We are told that x and y are positive numbers. To get the value of x, we will divide both sides by y as shown:
From the result, we can conclude that the value of x is 96/y where <u>y is not equal to zero.</u>
Learn more on functions here: brainly.com/question/17431959
Answer:
1. P(X≥35) = 0.0183
2. P(X≤21) = 0.0183
3. P(0.18<p<0.25) = 0.7915
Step-by-step explanation:
We have the proportion for women: pw=0.22, and the proportion for men: pm=0.19.
1. We have a sample of 140 woman and we have to calculate the probability of getting 35 or more who do volunteer work.
This is equivalent to a proportion of
The standard error of the proportion is:
We calculate the z-score as:
Then, the probability of having 35 women or more who do volunteer work in this sample of 140 women is:
2. We have to calculate the probability of having 21 or fewer women in the group who do volunteer work.
The proportion is now:
We can calculate then the z-score as:
Then, the probability of having 21 women or less who do volunteer work in this sample of 140 women is:
3. For the sample with men and women, we use the proportion for both, which is π=0.2.
The sample size is n=300.
Then, the standard error of the proportion is:
We can calculate the z-scores for p1=0.18 and p2=0.25:
We can now calculate the probabilty of having a proportion within 0.18 and 0.25 as: