Kevin and Brittany write an equation to represent the following relationship, and both students solve their equation. Who found

The solution is 57 because I excel at mathematics; it's my forte.

To illustrate 1 hundredth (or 1%) on a grid consisting of 100 units, shade only 1 unit. In contrast, to illustrate 1 tenth (or 10%), you would shade 10 units. A visual representation of the grid would be helpful for further explanation.

If -2 < x ≤ 3, the range of possible values for 5x + 1 is -9 < 5x + 1 ≤ 16.

Y=(x-h)^2+k
To shift the graph to the right by c units, the function becomes y=(x-h-c)^2+k
Indicating a move of 5 units to the right
g(x)=(x+3-5)^2-10
g(x)=(x-2)^2-10
first choice

Answer:

(a) P(B) = 0.008, (b) P(A∩B) = 0, (c) Yes, events A and B are mutually exclusive, (d) P(A∪B)=0.948, (e) 0.948, (f) 0.06

Step-by-step explanation:

We are considering three scenarios:

A: filling to specs

B: underfilling

C: overfilling

In probability theory, the total of mutually exclusive events needs to equal 1, therefore, we have:

(a) P(B) = 1 - P(A) - P(C) = 1 - 0.940 - 0.052 = 0.008

(b) P(A∩B) = the probability of filling to specification while simultaneously underfilling = 0, since both cannot occur together

(c) Yes, A and B are indeed mutually exclusive events, as it's impossible for a machine to fill to specs and underfill concurrently

(d) For mutually exclusive events, we find:

P(A∪B) = P(A) + P(B) = 0.940 + 0.008 = 0.948

(e) The probability that the machine does not overfill aligns with the probabilities of filling to specs and underfilling, i.e., P(A) + P(B) = 0.948, because not overfilling indicates either meeting specs or underfilling.

(f) The probability of either underfilling or overfilling is:

P(C∪B) = P(C) + P(B) = 0.052 + 0.008 = 0.06 since C and B are mutually exclusive.