the universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the venn diagr
am.
2 answers:
Answer:
Venn diagram is attached below.
Step-by-step explanation:
Given numbers are 5, 9, 12, 13, 14, 15.
We have three circles:- A. Factors of 15, B. Odd Integers, C. Multiples of 3.
Let's classify the elements in their respective circles.
A. Factors of 15: {5, 15}
B. Odd Integers: {5, 9, 13, 15}
C. Multiples of 3: {9, 12, 15}
So we have the followings:-
A∩B = {5, 15}
B∩C = {9, 15}
A∩C = {15}
where A∩B∩C = {15}, and (A ∪ B U C)' = {14}
Also 13 belongs to only B, and 12 belongs to only C.
Venn diagram is attached below.
You might be interested in
Answer:
Angle 1 = Angle 2 = 5y -23 (Vertically opposite)
We can see that we have a triangle in the figure
Since the sum of all angles of a triangle is 180,
<em>(2x + 13) + (47) + (5y -23) = 180</em>
<em>2x + 5y + 37 = 180</em>
<em>2x + 5y = 143</em>
5y = 143 -2x -----------------(1)
Assuming l and m to be parallel
<em>angle 1 = 3x (corresponding angles)</em>
<em>5y - 23 = 3x </em>
<em>From equation (1)</em>
<em>143 -2x - 23 = 3x </em>
<em>120 = 5x </em>
x = 24 ---------------------- (2)
Using (2) in (1)
<em>5y = 143 - 2(24)</em>
<em>5y = 143 - 48</em>
<em>5y = 95</em>
y = 19
Therefore,
x = 24
y = 19
Kindly mark Brainliest
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
b
c
I would be surprised because the value is very small , less the 0.05
Step-by-step explanation:
From the question we are told that
The probability a randomly selected individual will not cover his or her mouth when sneezing is
Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent
Hence for a randomly selected variable X we have that
The probability distribution function for binomial distribution is
Considering question a
Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as
Here C denotes combination
So
Considering question b
Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
=>
=>
=>
Considering question c
Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as
=>
=>
=>
=>
I would be surprised because the value is very small , less the 0.05
