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Murrr4er [49]
3 years ago
5

A thief steals an ATM card and must randomly guess the correct five​-digit pin code from a 7​-key keypad. Repetition of digits i

s allowed. What is the probability of a correct guess on the first​ try?
Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:

1 in 16,807 chance or a 0.00595% chance

Step-by-step explanation:

There is only one correct 5-digit pin that the thief must guess. If there are 7 possible values for each of the five digits, the total number of combinations is:

n = 7*7*7*7*7\\n= 16,807\ possibilities

Therefore, there is a 1 in 16,807 chance or a 0.00595% chance that the thief will guess on the first try.

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Sarah made $180 for 12 hours of work. At the same rate, how much would he make for 17 hours of work?
lisabon 2012 [21]

Answer:

1260

Step-by-step explanation:

180 x 2

8 0
3 years ago
A pitcher of water contains 1/4 liters of water. The water is poured equally into 5 glasses.
vladimir2022 [97]

Answer:

a. 1/20 liters in each glass.

b. 50 ml in each glass.

Step-by-step explanation:

a. To find how many liters are in each glass, you have to divide the 1/4 liters by 5 glasses, because the water is poured equally.

\frac{1}{4}\:\div \frac{5}{1}  

Using the division properties of fractions:

\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}  

\frac{1}{4}\times \frac{1}{5} =\frac{1\times \:1}{4\times \:5} =\frac{1}{20}  

b. Use the rule of three to convert from liters to milliliters.

  • 1 l = 1000 ml
  • 1/20 l = x ml

Now, multiply 1/20 l by 1000 ml and divide by 1 l to obtain x.

x =\frac{ \frac{1}{20}\times 1000 }{1} = \frac{1000}{20} = 50

4 0
3 years ago
Which property does the equation illustrate (x+5)+9=x+(5+9)
kiruha [24]

The Associative Property of Addition.
6 0
3 years ago
-3/2 x (-5 1/4)<br> A. -15<br> B.-10<br> C.15<br> D.10
Sunny_sXe [5.5K]

The answer is 10 because its close to the answer by multiplying those two fractions

5 0
4 years ago
What is the value of the x variable in the solution to the following system of equations?
Scrat [10]
The two equations given in the question are

4x _ 3y = 3
And
5x _ 4y = 3
Multiplying the first equation by 4 and the second equation by 3, we get
16x - 12y = 12
15x - 12y = 9
Subtracting the second equation from the first equation, we get
x = 3

I hope the above procedure is clear enough for you to understand. I hope that this is the answer that you were looking for and the answer has actually come to your great help.
8 0
3 years ago
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