Answer:
The probability that Katie will draw a face card on her next turn is 3/13, or approximately 23%.
Step-by-step explanation:
In a regular deck, there are four suits (clubs, spades, hearts and diamonds). Each suit has 13 cards that go from 2 - 10 plus the Ace, King, Queen and Jack. Since Katie is playing using a 26-card deck of only two suits, then there are only two kings, two queens and two jacks in the entire deck. In order to find probability, we form a fraction where the denominator is the total number of outcomes, in this case 26, and the numerator is the number of desired outcomes, in this case the total number of face cards in the deck - 6. So, the probability that Katie will choose a face card on the next turn is 6/26, which simplifies to 3/13 in lowest terms.
Answer: (a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5
(b) The unit rate is 3.5 cm/s since the rate is constant.
(c) The two points lie on the same line and that both points results to a rate of 3.5 cm/s.
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
Plug in -2 for x
5(-2) - 1
Order of operations (or PEMDAS) tells you to multiply first giving you:
-10 - 1
-10 - 1 = -11
Answer:
Joy must use 80 milliliters of solution at 20% and 20 milliliters of solution at 60%
Step-by-step explanation:
Let
x -----> milliliters of solution at 20%
y -----> milliliters of solution at 60%
we know that
----> equation A
so
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (80,20)
see the attached figure
therefore
Joy must use 80 milliliters of solution at 20% and 20 milliliters of solution at 60%
