What is the least common denominator of 1/8 5/12 + 718<br>A) 216<br>B) 108<br>C) 72<br>D) 48

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

2 years ago

Not sure how to do this, I will give Brainiest for step-by-step instructions.

Mkey [24]

Find 2 coordinates on the graph : (0, -20) and (10, 10)

Slope = (10 - (-20) ) / (10 - 0) = 30/10 = 3

Slope = 3

y-intercept = (0, - 20)

Equation : y = 3x - 20

Since the right hand side is shaded, the equation is y > 3x - 20.

4 0

3 years ago

Triangle A’ B’ C’ is the image of triangle A B C under a rotation about the origin, (0,0)

S_A_V [24]

Answer:

The triangle A B C will be the image of triangle of A B C in origin (0,0)

8 0

2 years ago

Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −

crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.