There would be no solutions. 13x cancels each other out in the equation, so you would have no X all together.
Answer:
Given:
- Total balls = 10
- Black balls = 3
- White balls = 7
⇒ P(black ball) = 3/10 = 0.3
⇒ P(white ball) = 7/10 = 0.7
If one ball is chosen at random and <u>replaced</u>, the probabilities do not change between the first and second ball.
Let event D = first ball is black
Let event S = second ball is black
P(D) = 0.3
P(S) = 0.3 (since the first ball is replaced)
⇒ P(D ∩ S) = P(D) × P(S)
= 0.3 × 0.3
= 0.09
For Independent Events we know that: P(A ∩ B) = P(A) × P(B)
Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.
That's such a broad question, and super subjective. I'd probably say that you learn math effectively from a good teacher or tutor, or if you're an individual learner, perhaps a textbook or any kind of online resource.
Answer:
Respondents
Step-by-step explanation:
The customers that buy a new computer and receive a survey in the mail about the performance of the computer after one month are called respondents.
They are called respondents because they took part in a survey or poll about the performance of the computer they bought a month ago. Statistically, not everyone that got the mail took part in the poll, those ones are called non respondents, while the ones that took part in the survey are known as respondents.
Answer: $2/child and $4/adult
Step-by-step explanation:
The total fare is $14 for 2 adults and 3 children
x is the child's fare
y is the adults fare
We can say:
1) 3x + 2y = $14
2) We are told that x = (1/2)y [each child's fare is 1/2 each adult's fare]
3) use (2) in (1)
3x + 2y = $14
3(1/2)y + 2y = $14
(3/2)y + 2y = $14
(7/2)y = $14
y = ($14)*(2/7)
y = $4/adult
x = (1/2)y; x = (1/2)(4)
x = $2/child
Check: Does 3x + 2y = $14 when x = $2/child and y = $4/adult?
3x + 2y = $14
3($2/child) + 2($4/adult) = $14
$6 + $8 = $14 YES
