The sum of two numbers, x and y, is more than 8.
1 answer:
Answer:
see below
Step-by-step explanation:
so your two inequalities would be
x+y>8
and
2x+y<14
we can put both of these into slope intercept form
y>-x+8
y<-2x+14
and now we can graph!
see image attached:
both lines are dotted because it is greater than and less than, not equal to.
slope intercept form is y=mx+b which is y=slopex+y intercept
we can first plot the y intercept and use the slope to find the other points
slope is rise/run
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probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
<u>Step-by-step explanation:</u>
Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:
- an ace or a king
A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒
⇒
- a king or a diamond
A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒
⇒
⇒
Therefore, probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269