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babunello [35]
3 years ago
13

Find the value of f(-2)

Mathematics
1 answer:
ELEN [110]3 years ago
3 0
f(x)=\left\{\begin{array}{ccc}x^2&if\ x\leq1\\1&if\ 1 \ \textless \  x \leq2\\2-x&if\ 3 \ \textless \  x \leq6\end{array}\right\\\\f(-2)=?\\\\-2\leq1\ therefore\ f(x)=x^2\\\\subtitute\\\\f(-2)=(-2)^2=4
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Determine whether the given procedure results in a binomial distribution​ (or a distribution that can be treated as​ binomial).
timofeeve [1]

Answer:

The procedure results in a binomial distribution

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If all 120 couples used the YSORT method, it is fair to assume that the probability of a baby being a boy or a girl are constant through all trials (120 couples). Assuming 120 randomly selected couples, there is a fixed number of independent trials. Finally, since the babies can only be a boy or a girl, the binary condition is satisfied and thus, the distribution is binomial

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3 years ago
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3 0
3 years ago
Read 2 more answers
4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets
zhuklara [117]

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

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You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

4 0
3 years ago
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Step-by-step explanation:

108 divided by 24 is 4.5. 4.5 is how many gallons per hour. then, 4.5 times 60 equals 270.

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