I agree with with the florist because when you divide 207 by 10 you will get 20.7. This means that the florist could make 20 bouquets but seven flowers would be left out.
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Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
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:
- He makes 90% of the free throws, hence
.
- He is going to shoot 3 free throws, hence
.
The probability that he makes exactly 1 is P(X = 1), hence:
0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377
Step-by-step explanation:
step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)
step 2. 15x + 15 = 180 (like terms)
step 3. 15x = 165 (subtract 15 from each side)
step 4. x = 11. (divide both sides by 15)
Answer:
It moves horizontally 1/2 units to the left
It moves vertically 2 units up
Step-by-step explanation:
∵ y = Acos(Bx - C) + D
∵ y = 2 - 3cos(2x + 1)
∴ The phrase of shift:
∵ The horizontally shift is -C/B = - 1/2 = -1/2
∴ It moves 1/2 units to the left
∵ The vertically shift is D
∴ It moves 2 units up
1+4=5 2+5=7 3x6=18 8+11=19
