We are given with the probabilities P(pepperoni) = 0.7, P(olives) = 0.6, and P(pepperoni or <span>olives) = 0.8. in this case, we are asked to determine P(pepperoni and olives) that is determined from P(pepperoni) + P(olives) - P(pepperoni or olives) equal then to 0.7 + 0.6 - 0.8 equal to 0.5</span>
Question 9. d
Question 10. b
Question 11.b
Answer: 18 ≤ 6*S ≤ 30
Where S is the number of salmon fillets in one single package.
Step-by-step explanation:
Let's define S as the number of salmon fillets in one package.
We know that it contains at least 3, and no more than 5, then we can write:
3 ≤ S ≤ 5
Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.
We can find this by multiplying the inequality:
3 ≤ S ≤ 5
by 6.
We get:
6*3 ≤ 6*S ≤ 6*5
18 ≤ 6*S ≤ 30
Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.
Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:
m = (5 - 1)/(5 - 0) = 4/5 = 0.8.
Hence the equation that gives the approximate height after x weeks is:
y = 0.8x + 1.
After 8 weeks, the expected height is:
y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.
More can be learned about linear functions at brainly.com/question/24808124
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Answer: 20
let the number be x
1/4 x = 5
x=5*4
x=20