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Setler79 [48]
2 years ago
13

Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into

his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.
Mathematics
2 answers:
Murljashka [212]2 years ago
8 0

Answer:

What is the question to this

Step-by-step explanation:

Alex17521 [72]2 years ago
6 0

Answer:

$495

Step-by-step explanation:

did the math

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Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an lg sm
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Answer: 0.951%

Explanation:

Note that in the problem, the scenario is either the adult is using or not using smartphones. So, we have a yes or no scenario involved with the random variable, which is the number of adults using smartphones. Thus, the number of adults using smartphones follows the binomial distribution.

Let x be the number of adults using smartphones and n be the number of randomly selected adults. In Binomial distribution, the probability that there are k adults using smartphones is given by

P(x = k) = \frac{n!}{k!(n-k)!}p^k (1-p)^{n-k}

Where p = probability that an adult is using smartphones = 54% (since 54% of adults are using smartphones). 

Since n = 12 and k = 3, the probability that fewer than 3 are using smartphones is given by

P(x \ \textless \  3) = P(x = 0) + P(x = 1) + P(x = 2)
\\ \indent = \frac{12!}{0!(12-0)!}(0.54)^0 (1-0.54)^{12-0} + \frac{12!}{1!(12-1)!}(0.54)^1 (1-0.54)^{12-1} + \\ \indent \frac{12!}{2!(12-2)!}(0.54)^2 (1-0.54)^{12-2}
\\
\\ \indent = \frac{12!}{(1)(12!)}(0.46)^{12} + \frac{12(11!)}{(1)(11!)}(0.54)(0.46)^{11}+ \frac{12(11)(10!)}{(2)(10!)}(0.54)^2(0.46)^{10}
\\
\\ \indent = (1)(0.46)^{12} + (12)(0.54)(0.46)^{11}+ (66)(0.54)^2(0.46)^{10}
\\ \indent \boxed{P(x \ \textless \  3) \approx 0.00951836732 }


Therefore, the probability that there are fewer than 3 adults are using smartphone is 0.00951 or 0.951%.


5 0
3 years ago
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