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zimovet [89]
2 years ago
5

If x% of four-digit numbers have a repeated digit (the repeated digits do not need to be adjacent), then what is x? Express your

answer as a decimal to the nearest tenth. 40 pts here!!
Mathematics
1 answer:
joja [24]2 years ago
8 0

Answer

It is a 4 digit number but 1 digit (exactly one digit) is repeated just once.

So 3 digits out of 10 have to be chosen.

There are 10C3 = 120 ways to do this.

say the digits chose are 5,6 and 9, they can be in any order and there are 3! possible orders =6 orders.

So so far that is 120*6=720 ways to get a 3 digit number where the digits are all different.

But we want a 4 digit number.

One digit has to be repeated there are 3 possibilities so that is 720*3 = 2160 posibilities.

But there are 4 postions that extra number can be put in. So that is 2160*4=8640 numbers

But I have double counted because 1434 is the same if I swap the 4s around so I have to halve this answer

8640/2 = 4320

So the number of favourable outcomes is 4320.

Altogether there are 10*10*10*10 = 10000 4 digit numbers (if they are allowed to start with 0)

so the prob of getting just one digit repeated once is 4320/10000 = 0.4320 = 43.2%

Do you understand now?

You will need to write your query on this thread but also send me a private message with the address of this thread attached. Otherwise I will not see it.

If you do have a query try to ask a specific question.

Anyway I hope that you understand

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klasskru [66]

The answer is 8 and 1/21 in fixed fraction.

and decimal form it would be 8.047619

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The summer solstice can occur on any day of the week with each day being equally likely. What is the probability the summer sols
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Out of a single week it's 2/7. Out of a month it'd be 8/30 with only 30 days in a month. I hope this helps.
6 0
3 years ago
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Explain how you could find the difference of 1 and 0.1978.​
weqwewe [10]
You would just subtract .1978 from 1
8 0
3 years ago
Michael timed a train using a clock. the train traveled a distance of half mile from t = 10 seconds to t = 55 seconds. what was
Alekssandra [29.7K]

Answer:

<em>58.7 ft/sec</em>

Step-by-step explanation:

The train traveled half a mile.

1 mile = 5280 ft

0.5 mile = 0.5 * 5280 ft = 2640 ft

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3 0
2 years ago
What is the linear equation for 3x+2y=62
scZoUnD [109]
<span>In this formula :

</span><span>y </span>tells us how far up the line goes
<span>x </span>tells us how far along
<span>m </span>is the Slope or Gradient i.e. how steep the line is
<span>b </span>is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the<span> line properties.</span><span> We shall now graph the line </span><span> 3x+2y-62  = 0</span><span> and calculate its properties
</span>

Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000

<span>  y-intercept = 62/2 = 31
</span>

When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667

<span>  x-intercept = 62/3 = 20.66667

</span>

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

<span>  Slope = -3.000/2.000 = -1.500

</span><span>
1.Slope = -3.000/2.000 = -1.500 

2.x-intercept = 62/3 = 20.66667<span> 

3.y-intercept = 62/2 = 31


I got sources from a few websites so excuse if something is weird/wrong.  
</span></span>
4 0
3 years ago
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