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Ivan's chocolate bar is 64% cocoa. If the weight of the chocolate bar is 68 grams, how many grams of cocoa does it contain? Roun
2 answers:
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Answer:
The length of the mat is 60 in.
Step-by-step explanation:
Given :
Mats are inclined to form a triangle.
two sides of the mat are right triangles.
Hence the triangle formed is right angled triangle.
Let the length be x.
Now,The height of the mat is 28 inches shorter than the length of the mat.
Height of mat = x - 28
Also, the hypotenuse is 8 inches longer than the length of the mat.
Hypotenuse = x + 8
Hence by using Pythagoras theorem we get ,
Now we get 2 values of length 12 and 60.
But height is 28 in less than length.
And when we take length value as 12 the height will be negative hence it can't be true.
Hence the Length of mat = 60 in.
Answer:
C.
Step-by-step explanation:
it is to be noted that the question is only asking for the probability of the 2nd card given that the first card was queen , and not asking for the probability of 1st card to be queen and 2nd card to be faced card
we can represent it in an expression:
here P(Q) is the first event: Queen
and P(F|Q) is the second event: Faced card, given that the Queen is taken
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we only need to know what is P(F|Q), and that can be found directly found:
let's start with P(Q), what is the probability that the first card is a Queen? Well, there are 4 queens in a standard deck of 52 cards, so the probability should be:
now we have taken our queen, but we haven't put it back in the deck. so the amount of cards in the deck now are 51.
let's calculate P(F|Q),now that one queen is taken out, what is the probability of the next card to be a faced card? Well, in a standard deck there are 12 faced cards, but in our case one queen is already taken out, so there are 11 faced cards in our deck!
and this our answer!