Answer:
a=3/5 or 0.6
Step-by-step explanation:
a-8/5-2/3a=-7/5
Step 1: Multiply both sides
15a-24-10a=-21
Step 2: Combine like terms
5a-24=-21
Step 3: Calculate and divide both sides by 5
5a=3
Solution:
a=3/5 or 0.6
1.First multiply 4(2y) and 4(6) which gives you (8y-24).
2.Then write out the whole problem: (15y-8y-24).
3.Subtract 15y-8y first since they have equal terms. That will give you 7y.
4.Now you have (7y-24).
Hoped this helps!!:-)))
Let's say we had a bag of 10 marbles in which 3 are red. The probability of pulling out a red marble is 3/10 = 0.30 = 30%
If we do not replace that red marble, then there are 3-1 = 2 red marbles left and 10-1 = 9 marbles overall leftover. The probabiity of getting another red marble is 2/9 = 0.222 = 22.2% approximately. The probability has changed. The second event probability is dependent on the first event.
If we pulled out a non-red marble on the first selection, then we would have 3 red marbles out of 9 left over so 3/9 = 1/3 = 0.333 = 33.3% is the approximate probability of getting a red marble on the second selection. We see that this is not the same as the 30% we got earlier.
The second event depends entirely on what happens during the first event, so we say the second event is dependent on the first. Or more shortly, "the two events are dependent".
So any time there is the key phrase "no replacement" it means "dependent events".
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Based on what is discussed in the section above, this means that answer choices A and C are NOT independent events.
The other two answer choices do describe independent events. Why? Because the act of flipping a coin does not affect the outcome of the spinner, and vice versa. This is assuming the coin and spinner are kept separate. The probability for one item's outcome remains the same regardless of what happens to the other item's outcome. The same applies to rolling 4 number cubes (aka dice).
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<h3>Final Answers: Choice B and choice D</h3>
Answer: y = 2x also written as y = 2x + 0
Step-by-step explanation:
When dealing with parallel lines their slopes are ALWAYS the same so the equation would have the slope of 2, but to find the y intercept you have to plug the coordinate given into the point-slope formula (y - y1) = m(x - x1) where m is the slope, y1 is the y output of the coordinate and x1 is the x input of the coordinate.
1. Plug cordinate into point slope form equation:
(y - 0) = 2(x - 0)
2. Distribute the 2 to x and 0
y - 0 = 2x - 0
The two zeros cancel out because they are 0s to begin with so your final answer for your y - intercept is 0
hope this helps :)
you do cross-multiply
6 times 21 = 126
14 times 9 = 126
it is a proportional because it is equivalent to each other