Given:
The sets are
and
.
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,


Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.
Answer:
2:3
Step-by-step explanation:
<u>First convert years to months: 3 years = 36</u>
24:36
<u>Then simplify the ratio</u>
24:36
24/2:36/2
12/2:18/2
6/3:9/3
2:3
Answer: 2:3
If she would have waited a day she would have saved D) $64.43 more. This is because the original sale price comes to $322.15 and then we find the answer by taking this number and multiplying it by the additional sale and get $64.43.
Answer:
a
b

c

Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.53
The sample size is n = 10
Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution
i.e
and the probability distribution function for binomial distribution is
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as
=>
=>
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as

=> ![P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}]](https://tex.z-dn.net/?f=P%28%20X%20%5Cge%20%206%20%29%3D%20%20%5B%5E%7B10%7DC_6%20%2A%20%20%5B0.53%5D%5E6%20%2A%20%20%281-%200.53%29%5E%7B10-6%7D%5D%20%2B%20%20%5B%5E%7B10%7DC_7%20%2A%20%20%5B0.53%5D%5E7%20%2A%20%20%281-%200.53%29%5E%7B10-7%7D%5D%20%2B%20%20%5B%5E%7B10%7DC_8%20%2A%20%20%5B0.53%5D%5E8%20%2A%20%20%281-%200.53%29%5E%7B10-8%7D%5D%20%2B%20%20%5B%5E%7B10%7DC_9%20%2A%20%20%5B0.53%5D%5E9%20%2A%20%20%281-%200.53%29%5E%7B10-9%7D%5D%20%2B%20%5B%5E%7B10%7DC_%7B10%7D%20%2A%20%20%5B0.53%5D%5E%7B10%7D%20%2A%20%20%281-%200.53%29%5E%7B10-10%7D%5D)
=> ![P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082]](https://tex.z-dn.net/?f=P%28%20X%20%5Cge%20%206%20%29%3D%20%20%5B0.227%5D%20%2B%20%20%5B0.1464%5D%20%2B%20%20%5B0.0619%5D%20%2B%20%20%5B0.0155%5D%20%2B%20%5B0.00082%5D)
=> 
Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as

=> ![P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}]](https://tex.z-dn.net/?f=P%28%20X%20%3C%20%204%20%29%3D%20%20%5B%5E%7B10%7DC_3%20%2A%20%200.53%5E3%20%2A%20%20%281-%200.53%29%5E%7B10-3%7D%5D%20%2B%20%20%5B%5E%7B10%7DC_2%20%2A%20%200.53%5E2%20%2A%20%20%281-%200.53%29%5E%7B10-2%7D%5D%20%2B%20%20%5B%5E%7B10%7DC_1%20%2A%20%200.53%5E1%20%2A%20%20%281-%200.53%29%5E%7B10-1%7D%5D%20%2B%20%20%5B%5E%7B10%7DC_0%20%2A%20%200.53%5E0%20%2A%20%20%281-%200.53%29%5E%7B10-0%7D%5D%20)
=> 
=> 
Answer:
Length: 360. Width: 240.
Step-by-step explanation:
360 * 2 = 720
240 * 2 = 480
720 + 480 = 1,200