A linear function is a numerical relationship that forms a straight line in the Cartesian plane and represents the number of units that change a dependent variable, increase or decrease, compared to an independent one, in this case the profit P of the baseball club will be given by the number b of peanut bags sold multiplied by the sales value ($4,25), this less the payment of the seller's work day ($135), that is:
Answer
The linear function that describes the profit of the baseball club is
Answer:
192
Step-by-step explanation:
The formula for the area of a rectangle is :
In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.
To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.
1) Multiply 6 by 4.
2) Multiply 24 by 8.
Answer:
(a) The probability you pass the exam is 0.0000501.
(b) The expected number of correct guesses is 7.5.
(c) The standard deviation is 2.372.
Step-by-step explanation:
We are given that you take a 30-question, multiple-choice test, in which each question contains 4 choices: A, B, C, and D. And you randomly guess on all 30 questions.
Since there is an assumption of only 1 correct choice out of 4 which means the above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 30
r = number of success = at least 60%
p = probbaility of success which in our question is the probability
of a correct answer, i.e; p = = 0.25
Let X = Number of questions that are correct
So, X ~ Binom(n = 30 , p = 0.25)
(a) The probability you pass the exam is given by = P(X 18)
Because 60% of 30 = 18
P(X 18) = P(X = 18) + P(X = 19) +...........+ P(X = 29) + P(X = 30)
=
= 0.0000501
(b) The expected number of correct guesses is given by;
Mean of the binomial distribution, E(X) =
= = 7.5
(c) The standard deviation of the binomial distribution is given by;
S.D.(X) =
=
= = 2.372