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morpeh [17]
3 years ago
15

2. Your family eats at a Foo Fight Restaurant. The bill is $168. The family leaves a tip and spends a total of $201.60.

Mathematics
2 answers:
inysia [295]3 years ago
5 0
$33.6 in tips 201.60-168
20% tip 168x.2
Maksim231197 [3]3 years ago
3 0
Answer- A- 33.6
B- 20%
For A subtract subtract 168 from 201.60
For question B do 33.6÷168 and multiply it by 100
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Find the length of the hypotenuse if the base and height of a triangle are 6 m and 8 m , respectively
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3 years ago
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
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