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vfiekz [6]
3 years ago
11

A. The following events are mutually exclusive: Living in California and watching American Idol. True or False b. The number of

patients seen by an outpatient practice is an example of a discrete random variable. True or False
c.The law of large numbers states that as the number of times an event experiment is conducted increases, the likelihood of the actual probability of an event approaching the theoretical probability decreases. True or False
d. Measuring the time it takes for patients to enter the operating room is an example of a continuous random variable. True or False
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

a) False. Because you can live in California AND watch American Idol at the same time

b) True. Because the number of patients is a whole number, like 1, 2 or 3. There is no 1.5 patient

c) False. The actual probability should become closer to the theoretical probablity

d) True

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Subtract right answers please
rosijanka [135]
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4 0
3 years ago
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Use mathematical induction to prove that for each integer n &gt; 4,5" &gt; 2^2n+1 + 100.
Flura [38]

Answer:

The inequality that you have is 5^{n}>2^{2n+1}+100,\,n>4. You can use mathematical induction as follows:

Step-by-step explanation:

For n=5 we have:

5^{5}=3125

2^{(2(5)+1)}+100=2148

Hence, we have that 5^{5}>2^{(2(5)+1)}+100.

Now suppose that the inequality holds for n=k and let's proof that the same holds for n=k+1. In fact,

5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.

Where the last inequality holds by the induction hypothesis.Then,

5^{k+1}>(2^{2k+1}+100)\cdot (4+1)

5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100

5^{k+1}>2^{2k+3}+100\cdot 4

5^{k+1}>2^{2(k+1)+1}+100

Then, the inequality is True whenever n>4.

3 0
3 years ago
Julie wrote the rate $108 in 6 weeks as a unit rate.Find her mistake and correct it.
natima [27]
Well for starters that would be $108/6 weeks when a unit rate is anything over one. To put it as a unit rate (how many dollars per hours) you just divide $108 by 6 (since you would divide 6 by 6 to get) and the unit rate would end up being $18 per hour.
6 0
3 years ago
The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.
lawyer [7]

Answer:

Step-by-step explanation:

Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.

If |PQ|=2k, then

a2(cosp−cosq)2+b2(sinp−sinq)2=4k2

The coordinates of M are

xy==a2(cosp+cosq)b2(sinp+sinq)

4 0
4 years ago
5a − 3
Taya2010 [7]

Answer:

4.8

Step-by-step explanation:

Multiply 5*4.8 equal 21.6

5 0
4 years ago
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