HELP Tell wether the angles are adjacent,vertical, or neither.

Mathematics

2 answers:

mote1985 [20]2 years ago

6 0

Answer:

1. Adjacent, 2. Vertical, 3. Neither

Step-by-step explanation:

The first pair is adjacent as they have common side.

The second pair is vertical as opposite angles of the crossed lines.

The third pair has no relationship with each other, so neither is the answer.

Margarita [4]2 years ago

6 0

Answer:

Step-by-step explanation:

1. adjacent- next to each other

2. vertical- matches

3. neither

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A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the

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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:

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