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Aleks [24]
4 years ago
9

Numbers from zero to nine are individually selected at random and combined to make a code that contains a six-digit number. Numb

ers can be repeated. If you were given ten tries to guess the code what would be the probability of guessing the correct code? Give you answer as a fraction. Do not include commas in your answer, for example, 31,000 would be written as 31000.
Mathematics
1 answer:
weeeeeb [17]4 years ago
5 0

Answer:

The probability of guessing the correct code is \frac{1}{100000} ,  If you were given ten tries to guess it.

Step-by-step explanation:

First of all, we need to find the total possible combinations due the code is composed by numbers from zero to nine are individually selected at random and combined to make a code that contains a six-digit number. So we obtain \# of\ possible\ combinations=10^{6}=1000000.

Then, as we have ten tries to guess, \frac{\# of\ tries}{\# of\ possible\ combinations} =\frac{10}{1000000}=\frac{1}{100000}, is the probability of guessing the correct code, one out one houndred thousand.

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How will adding the value 75 affect the mean and median of the data set 1, 5, 7, 9 , 9, 10? * A.The median increases less than t
Zinaida [17]
{1,5,7,  9,9,10} is the original set. The median is the middle most value which is between 7 and 9 (those two values are tied for the middle most values). Add them up and divide by 2: 
(7+9)/2 = 16/2 = 8

The median of the original set is 8

The mean of the original set is approximately 6.83
Because we add up the values and divide by 6 (there are six data values)
1+5+7+9+9+10 = 41
41/6 = 6.83
----------------------------------

Now let's add 75 to the list of values. The list is now
{1, 5, 7, 9, 9, 10, 75}
The median becomes 9 which is shown in bold below
{1, 5, 7, 9, 9, 10, 75}
There are 3 values to the left of the median. There are 3 values to the right of the median.

The new mean is (1+5+7+9+9+10+75)/7 = 16.57 approximately

----------------------------------

Summary so far:
Old Median = 8
New Median = 9

Old Mean = 6.83
New Mean = 16.57

The medians are exact. The means are approximate to two decimal places.

So we can see that the mean increases dramatically compared to the median. This is why with large outliers, the median is always a better measure of center. The mean is always pulled toward the outlier. In the second data set, the distribution is skewed to the right (thanks to the outlier on the right pulling on the tail).

Answer: Choice A) The median increases less than the mean increases.


6 0
4 years ago
Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the yea
olga55 [171]

Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

5 0
3 years ago
The sum of -6 and the quantity 9 times X <br> Need help asap
DiKsa [7]

Answer:

-6 + 9x

Step-by-step explanation:

3 0
3 years ago
A circle is centered at the point (5, -4) and passes through the point (-3, 2).
harina [27]

Answer:

The answer to your question is:

             (x - 5)² + (y + 4)² = 10²     or         (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

Data

Center (5, - 4)

Point ( -3 , 2)

Formula

d = √ ((x2- x1)² + (y2 - y1)²)

(x - h)² + (y - k)² = r²

Process

Radius

d = √ ((-3 - 5)² + (2 + 4)²)

d = √ ((-8)² + (6)²)

d = √ 64 + 36

d = √100

d = 10 units

Circle

                           (x - 5)² + (y + 4)² = 10²

                             (x - 5)² + (y + 4)² = 100

8 0
3 years ago
What year is 7 years after 2003
mezya [45]

Answer:

2010

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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