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joja [24]
3 years ago
8

There are 9 flash cards with numbers from 20 to 28 written on them. Laura drew the card with 22 on it. She is about to draw anot

her card. What is the probability that the sum of the numbers on these two cards will be a multiple of 5?
Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

1 /4

Step-by-step explanation:

Multiples of 5 = (5, 10, 15, 20, 25, 30, 35, 40, 45)

Numbers on card : (20,21,22,23,24,25,26,27,28)

Number on first card = 22

To have a sum which is a multiple of 5 ; number on second card must be either :

23 or 28

22 + 23 = 45

22 + 28 = 50

Since only 2 of the cards will. Result in a sum which is a multiple of 5

Required outcome = 2

Total possible outcomes = (9 - 1) = 8

Probability = required outcome / Total possible outcomes

= 2 / 8

= 1 /4

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2 years ago
One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many
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Answer with Step-by-step explanation:

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Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of 6.022\times 10^{11} trillion sand particles is

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Part 2)

Since it is given that volume of 1 sand particle is 1.0mm^{3} thus the volume of 1 mole of sand is volume of 6.022\times 10^{23} sand particles

Thus volume of 1 mole is V=1.00\times 10^{-18}km^{3}\times 6.022\times 10^{23}=6.022\times 10^{5}km^{3}

Now since the Area of united states is A=3.6\times 10^{6}mile^{2}=5.8\times 10^{6}km^{2}

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4 0
3 years ago
There are as many girls as there are boys in a class. 8 girls went for a dance competition. now there are twice as many boys as
Rashid [163]
Let the number of girls be x and the number of boys be y

The number of boys is the same as the number of girls.
x = y 
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x = y ---------------- (1)
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Sub (1) into (2)

2(y - 8) = y
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There were 16 boys and 16 girls initially.

16 + 16 = 32 
There were a total of 32 students in the class initially. 



4 0
2 years ago
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