According to the probabilities given, it is found that the correct option regarding the independence of the events is given by:
No, P(carry cash) != P(carry cash|have children).
<h3>What is the probability of independent events?</h3>
If two events, A and B, are independent, we have that:
Which also means that:
In this problem, we have that:
- 62% carry cash on a regular basis, hence P(cash) = 0.62.
- 46% has children, hence P(children) = 0.46.
- Of the 46% who have children, 85% carry cash on a regular basis, hence P(cash|children) = 0.85.
Since P(carry cash) != P(carry cash|have children), they are not independent.
More can be learned about the probability of independent events at brainly.com/question/25715148
Explanation
We need to simplify this product of expressions:
We must use the distributive property of the multiplication here. We take the left expression and we multiply both terms of the right expression by it:
Now we have the sum of two expressions. We apply the distributive property of the multiplication to both:
We continue operating:
We can use the distributive property inversely in the terms with x:
Answer
Then the answer is:
V = S^3
S= 1/3
V = 1/3^3
V = 1/27 cubic unites each
3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total
Step-by-step explanation:
a full circle has 360°.
so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.
labour = 360 - 136 - 34 - 54 - 14 = 122°
the fraction 122/360 represents the 183 votes for labour.
122/360 = 183
the fraction 1/1 = 1 then represents the total number of votes in the whole system.
61/180 = 183
1/180 = 3
1 = 3×180 = 540
540 pupils voted altogether.