Answer:
D) 0.51, and do the homework
Step-by-step explanation:
First, we have the event "Probability of give a pop quiz" and event 2 "Probability of not doing homework".
The soccer game, and the pop quiz are not related, which means that the outcome of one or another event, will not affect the fact of the soccer game to be realized, so these 2 previous events are independent events, you can either have the quiz and not doing the homework, or even not have the quiz but still do the homework, the result of one will not affect the outcome of the other, hence:
P(A∩B) = P(A) * P(B)
Replacing the data we have:
P(A∩B) = 0.6 * 0.85
P(A∩B) = 0.51 or 51%
This result is lower than 80%, therefore, you'll do the homework
36 / 18 =2
On average, she spent $2 daily.
hope this helps :)
Okay. When it comes to multiplying decimals, you multiply them just like you would do whole numbers. However, solving them by paper, you would add a decimal point into the answer, depending on how many numbers are behind the decimal point in the numbers being multiplied. In this case, the decimal point will go in front of two numbers, because there are two numbers behind the decimal point in -1.2 and 0.4. Know that the answer will be negative, because there is one negative and one positive number.
Multiply both numbers. -1.2 * 0.4 is -0.48. There. The product is -0.48.
Answer: B) 16 cubic meters
Step-by-step explanation:
To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.
Hello from MrBillDoesMath!
Answer: 500
Discussion:
The idea is to represent p(x) with a squared component...
3 + 4x - 4x^2 =
3 - ( 4x^2 - 4x) =
Add and subtract 1:
(3+1) - (4x^2-4x +1) =
4 - (2x-1)^2
To maximize profit we need to minimize the term (2x-1)^2 as it is always positive (or zero) and subtracts from the number 4. The minimum of (2x -1)^2 occurs when 2x -1 = 0 or x = 1/2. Since x is the number of speakers in thousands, (1/2)x = 500 speakers.
Note: this problem can be more easily addressed in a Calculus course by taking the first derivative of p(x), setting it to zero, and solving for x (which yields x = 1/2 too)
Thank you,
MrB