HELP PLEASEEEEEEEEEEEEE

Mathematics

2 answers:

stepan [7]2 years ago

7 0

Answer:

1)68

2)46

Step-by-step explanation:

Dima020 [189]2 years ago

3 0

Answer:

1. 112

2. 46

Step-by-step explanation:

When two parallel lines are intersected by a transversal, the alternate interior angles are supplementary. Meaning that their angle measures add up to 180 degrees. Set up an equation and solve for the unknown angle using inverse operations.

$68 + ? = 180\\-68\\\\? = 112$

When two parallel lines are intersected by a transversal, the corresponding angles are congruent, in other words, they have the same angle measure.

$? = 46$

You might be interested in

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:

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