There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
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Answer:
42
Step-by-step explanation:
The figure is broken into different shapes so you find the area of each shape shown and add them up!
Step one: find the area of the triangle. 1/2*base*height* The base is 3 and the height is 4. it will be 6. This applies to the second triangle on the bottom as well. The total of both triangle is 12.
Step two: find the area of the rectangle.base*height. All you have to do is 10*3 which is 30.
Step three: now add up all the areas you got. 30+12. which is 42.
hope this helps :)
Answer:
1/3
Step-by-step explanation:
Alright, so in this you want to use the slope formula: m=y2-y1/x2-x1. You plug the coordinates of the points into the formula to get the slope. (x1,y1) (x2,y2). So in this problem, 7 is x1, -1 is y1, -2 is x2, -4 is y2. So using the formula, you plug in y2 minus y1, divided by x2 minus x1.
So m (the slope) = -4- (-1) divided by -2-7.
2 negatives make a positive, so -4 + 1 is -3. -2-7 becomes -9. So this is now -3/-9. Again, 2 negatives make a positive, so this is now 3/9. Simplify and the answer is positive 1/3. Hope this helps!
Step-by-step explanation:
I hope that this answer help you.
Answer:
90
Step-by-step explanation:
if 30 is one third then 30x3 will give us our answer,90.
