2 years ago

From a standard 52 deck of cards, find the probability that you draw a heart on the first

Mathematics

2 answers:

Alex Ar [27]2 years ago

4 0

Answer:

0.004

Step-by-step explanation:

klasskru [66]2 years ago

4 0

Answer: 0.5

Step-by-step explanation:

There are 13 hearts. The chance of drawing a heart in your first draw is 13/52, or in other words 1/4

There are 13 diamonds. The chance of drawing a diamond on your second draw is 13/52, or in other words, 1/4

The chance of drawing a heart, replacing it, drawing a diamond, are 1/4*1/4=1/2.

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2 years ago

X+2(x+3(x+4(x+5)))=153

Allushta [10]

Answer:

$x=1$

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

$4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1$