This is one proportion that can be created from the given information

.
You would then use cross product to solve it. Also reduce 36/24 to 3/2
3(3x + 7) = 2(6x - 6)
9x + 21 = 12x - 12
33 = 3x I subtracted 9x from both sides and added 12 to both sides
11 = x
Answer:
0.01923 or 1.92 %
Step-by-step explanation:
The probability of drawing a queen card out of deck is 4/52
∴ P(Q)= 4/52
there are 4 queens in a deck, one of each suit.
The probability of drawing a diamond card out of deck is 13/52
∴P(D)= 13/52
there are 13 cards in diamond suit (including the three face cards).
The total will remain 52 as he has replaced the first card and have not moved it aside
therefore, the net probability for both scenarios will be defined by calculating both probabilities.
P= P(Q) x P(D)
P= 4/52 x 13/52
P=1/52
P=0.01923 (converting into percentage)
P=0.01923 x 100%
P=1.92 %
Answer: the probability that James draws a queen card as the first card and a diamond card as the second card is 1.92%
Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39