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:
d
Step-by-step explanation:
Since DF = EF then the triangle is isosceles with base angle being congruent, that is
∠ D = ∠ E , then
∠ D = 
= 
= 23.5°
Answer:
350 feet per minute
Step-by-step explanation:
The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.
This means it took 104 minutes for the plane to descend 36,400 feet.
Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.
Answer:
x=71
Step-by-step explanation:
All exterior angles add up to 360
x+x-6+x+4+x+2+x+5=360
combine all the x's
5x-6+4+2+5=360
add all the numbers
5x+5=360
isolate 5x by cancelling out 5
5x+5-5=360-5
simplify
5x=355
isolate the variable
5x/5=355/5
simplify
x=71
