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dimulka [17.4K]
3 years ago
5

Algebra 2

Mathematics
1 answer:
seropon [69]3 years ago
4 0
F(103)=103/103+9
103/103=1
so f(103)=1+9

THE ANSWER IS 10 :)
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A certain three​-cylinder combination lock has 60 numbers on it. To open​ it, you turn to a number on the first​ cylinder, then
statuscvo [17]

Answer:

(a) The number of different lock combinations is 216,000.

(b) The probability of getting the correct combination in the first try is \frac{1}{216000}.

Step-by-step explanation:

The lock has three-cylinder combinations with 60 numbers on each cylinder.

The procedure of the opening lock is to turn to a number on the first​ cylinder, then to a second number on the second​ cylinder, and then to a third number on the third cylinder.

The numbers can be repeated.

(a)

There are three cylinder combinations on the lock, each with 60 numbers.

It is provided that repetitions are allowed.

Then each cylinder can take any of the 60 numbers.

So there are 60 options for the first cylinder.

There are 60 options for the second cylinder.

And there are 60 options for the third cylinder.

So the total number of possible combinations is:

Total number of combinations = 60 × 60 × 60 = 216000.

Thus, the number of different lock combinations is 216,000.

(b)

The events of getting a correct combinations of the three​-cylinder combination lock implies that all the three cylinder are set at the correct numbers.

Each cylinder has 60 numbers.

This implies that there are 60 possible ways to get a correct number for the first cylinder.

The probability of getting the correct number for the first cylinder is:

P (Number on 1st cylinder is correct) = \frac{1}{60}.

Similarly for the second cylinder the probability of getting the correct number is:

P (Number on 2nd cylinder is correct) = \frac{1}{60}.

And similarly for the third cylinder the probability of getting the correct number is:

P (Number on 3rd cylinder is correct) = \frac{1}{60}.

So the probability of getting the correct combination in the first try is:

P (Correct combination in the 1st try) = \frac{1}{60}\times \frac{1}{60}\times \frac{1}{60}=\frac{1}{216000}.

Thus, the probability of getting the correct combination in the first try is \frac{1}{216000}.

7 0
3 years ago
What is 1+1. 100 points to whoever gets it first. Answer fast!
Anni [7]

Answer:

da answer iz two cause wen u add one plus one u get answer two

Step-by-step explanation:

let mi hope dat it useful

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME PLEASE ITS DUE TODAY
Salsk061 [2.6K]

$3.13 is the answer like it please thanks

3 0
2 years ago
The x-intercept shows that you can buy short-sleeve shirts and long-sleeve shirts. The y-intercept shows that you can buy long-s
Sergeu [11.5K]

Question:

You are ordering short-sleeve shirts (x) for $10 and long-sleeve shirts (y) for $15. Your budget is $300. Write the equation and find the intercepts.

Interpret their meaning.

Answer:

The x-intercept shows that you can buy 30 short-sleeve shirts and 0 long-sleeve shirts.

The y-intercept shows that you can buy 20 long-sleeve shirts and 0 short-sleeve shirts.

Step-by-step explanation:

Given

$10 per short sleeve

$15 per long sleeve

Budget = $300

The above can be represented as:

Total Cost of Short Sleeve + Total Cost of Long Sleeve = Budget

i.e.

10 * x + 15 * y =300

10x + 15y =300

To solve for the y intercept, we set x to 0

10 * 0 + 15y =300

15y =300

Divide through by 15

y = 20

<em>This implies that, you can buy 0 short sleeves and 20 long sleeves</em>

To solve for the x intercept, we set y to 0

10x + 15 * 0 = 300

10x  = 300

Divide through by 10

x = 30

<em>This implies that, you can buy 0 long sleeves and 30 short sleeves</em>

6 0
3 years ago
elsa took out a 2 year loan to buy a car at a 6% simple interest rate. if she has to pay 264 in interest how much principal did
saw5 [17]
15.84 was the answer I got
3 0
3 years ago
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