Answer: answer
Step-by-step explanation: Answer:1. Circle with center X had radius r ; Given
Circle with center Y had radius Y has radius S ; Given
Translate X to Y ; Translation is a similarity transformation
Dilate circle X by s/r ; Dilation is a similarity transformation
Circle X ~ Circle Y ; a composition of similarity transformation maps circle X to circle Y
Using the binomial distribution, it is found that they would expect to find 240 dead batteries among the entire 12,000.
For each battery, there are only two possible outcomes, either it was dead or it was not. The probability of a battery being dead is independent of any other battery, hence the binomial distribution is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, we have that:
- One in 50 batteries are dead, hence p = 1/50 = 0.02.
- There is a total of 12,000 batteries, hence n = 12000.
Then:
E(X) = np = 12000(0.2) = 240
They would expect to find 240 dead batteries among the entire 12,000.
You can learn more about the binomial distribution at brainly.com/question/24863377
Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
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Answer:
3x-15
Step-by-step explanation:
(x-10)+(x-5)+(x)=3x-15
" / " this means divide, so if your dividing it is 8 because 8 times 3 is 24
