Answer:
1/48
Step-by-step explanation:
To find the probability of 2 independent events, we multiply their probabilities together.
Probability of getting a 2 on the spinner, 1 of 8 spots
1/8 =
Probability of getting a 3 on the die, 1 of 6
1/6 =
Multiply these probabilities together
1/8 * 1/6 = 1/48
Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.
For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.
- There are 75 first-time visitors on a given day, hence n = 75.
The probability that exactly 36 of them buy a product is P(X = 36), hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
8
Step-by-step explanation:
In this situation if the two gallon container will have all of its dimensions tripled, then that means the the volume of the container will also get tripled.
When all the dimensions of a shape are changed, the volume will then also change accordingly.
Since the original container held 2 gallons, we will then solve for the value by simply raising 2 to the power of 3.
2³ = 8
Now why did we raise the number of gallons by three instead of multiplying it directly by 3?
We did that, because we need to consider that the entire container had all of its dimensions tripled. When a shapes dimensions are all increased, this means that it will grow exponentially.
16x can be broken down into factors of -105.
21 and -5 come to mind.
7x² + 21x - 5x - 15
7x(x + 3) - 5(x + 3)
(7x - 5)(x + 3) is the factorised form.
You'll have to substitute all the y's by 18, so our expression will stay like this:
18 - 2 =
16 = final answer
Hope it helped,
BioTeacher101
