55?
500 - 280 = 220
220/4 = 55
500 - (4x55{his age}) = 280
Answer:
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- <u><em>Yes, it is reasonable to expect that more than one subject will experience headaches</em></u>
Explanation:
Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."
You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.
- p = 0.732 is the probability of success (an individual experiences headaches).
- n = 5 is the number of trials (number of subjects in the sample).
The meaning of the table of the distribution probability is:
The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.
To answer whether it <em>is reasonable to expect that more than one subject will experience headaches</em>, you must find the probability that:
- X = 2 or X = 3 or X = 4 or X = 5
That is:
- P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).
That is also the complement of P(X = 0) or P(X = 1)
From the table:
- P(X = 0) = 0.0014
- P(X = 1) = 0.0189
Hence:
- 1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797
That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.
In conclusion, <em>yes, it is reasonable to expect that more than one subject will experience headaches</em>
Answer:
. The closest value from your given choices is C)r=0.69
Step-by-step explanation:
To solve this we are using the standard exponential growth equation:

where
is the final population after
years
is the initial population
is the growth rate in decimal form
is the time in years
We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so
,
, and
.
Let's replace the values and solve for
:


Divide both sides by 5000


Take root of 10 to both sides
![\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D%20%3D%5Csqrt%5B10%5D%7B%281%2Br%29%5E%7B10%7D%7D)
![\sqrt[10]{2} =1+r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D%20%3D1%2Br)
Subtract 1 from both sides
![\sqrt[10]{2}-1=r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D-1%3Dr)
![r=\sqrt[10]{2}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B10%5D%7B2%7D-1)


We can conclude that the growth rate of our exponential equation is
. The closest value from your given choices is C)r=0.69
So 0.1 really means 1/10 of 1 so 10 times of 1/10 is 10/10 or 1
Answer:
72 hot dogs 144 sodas
Step-by-step explanation:2x+x=216 3x=216 x=72 72*2=144