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.
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left

Dividing both sides by 10

There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
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Answer:

Step-by-step explanation:
We will use the co-function identity for sine, where:

Since sin(21)=0.358=cos(x). This means that:

Solve for x. Add x to both sides:

Subtract 21 from both sides:

Hence:

Answer:
8 units
Step-by-step explanation:
x + 2 = 2x
2 = 2x - x
x = 2
uW = 2(2+2) = 8
The answer is
x=10+2y
Steps:
2(x-2y)=20
x-2y=20/2 (in fraction form 20/2)
x-2y=10
X=10+2y