A school playground is in the shape of a rectangle 400 feet long and 200 feet wide if fencing cost $12 per year, what will it co
1 answer:
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Answer:
<em>a. The system of equations that models the situation is....</em>
<em> </em>
<em>b. The solution to the system: x = 2 and y = 4 </em>
<em>The amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.</em>
Step-by-step explanation:
Suppose, the amount of 80/20 mixture is pounds and the amount of 50/50 mixture is
pounds.
So, the amount of peanuts in 80/20 mixture pound and the amount of almonds in 80/20 mixture
pound.
And the amount of peanuts in 50/50 mixture pound and the amount of almonds in 50/50 mixture
pound.
Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.
So, the amount of peanuts in that mixture pounds
and the amount of almonds in that mixture pounds.
So, the system of equations will be.........
Subtracting equation (2) from equation (1), we will get.....
Now, plugging this into equation (1), we will get......
So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.
Answer:
The teacher should set the score 7 as the lowest passing grade.
Step-by-step explanation:
Let <em>X</em> = number of correct guesses.
All the questions are of true-false format.
The probability of getting a correct answer is, <em>p</em> = 0.50.
The total number of questions is, <em>n</em> = 10.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 10 and <em>p </em>= 0.50.
The probability mass function of <em>X</em> is:
Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.
Then the probability of failing such a students is at least 1 - 0.05 = 0.95.
Compute the probability distribution of <em>X</em>.
Consider the probability distribution attached below.
The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 7.
So the teacher should set the score 7 as the lowest passing grade.
