Can anyone please help

A certain code is a sequence of 7 digits. What is the probability of generating 7 digits and getting the code consisting of 1, 2

Oksana_A [137]

Answer:

The code has 7 digits:

Here you are asking:

"What is the probability that the code is consisting only of the digits {1, 2, 3, 4, 5, 6, 7}?"

Ok, first we must calculate the number of all the possible codes.

Suppose that each digit is an independent event.

Each one of those events has 10 possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

And we have 7 of those.

The total number of possible combinations is equal to the product of the number of outcomes for each event, then the total number of possible combinations is:

C = 10^7.

Now let's calculate the number of possible codes if we only use the digits in the restriction.

We can do exactly the same as above, but now in each case, we have 7 possible outcomes for each digit, then in this case the number of possible combinations is:

c = 7^7.

Now the probability of generating at random a code that only uses the digits {1, 2, 3, 4, 5, 6, 7} is equal to the quotient between the number of codes that only use these digits, and the total number of possible codes.

P = c/C = (7^7)/(10^7) = (7/10)^7 = 0.082

4 0

3 years ago

HELP PLEASE I NEED HELP WITH THIS PROBLEM !!!!!!

scZoUnD [109]

Less than or equal to first equation (solid line)

less tha second equation ( the dotted line)

so its d

3 0

3 years ago

4x^2+7x+2 Facor this polynomial.

Elden [556K]

You need to use the quadratic formula or graph it and find the zeros. that does factor cleanly

8 0

3 years ago

Coraline spent $78 on 4 T-shirts. How much did each T-shirt cost? Explain your answer

anyanavicka [17]

Answer:

$19.50

Step-by-step explanation:

You can set up a simple equation where t-shirts are represented by t and cost by c.

$78=4t.

To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is

$19.50=1t

And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.

7 0

3 years ago

Your child needs a fever medication at 3:00 in the morning. The package says to give two

Irina-Kira [14]

they must have 1.33 teaspoons of medication for child weighing 40 pounds !

<u>Step-by-step explanation:</u>

Here we have , Your child needs a fever medication at 3:00 in the morning. The package says to give two teaspoons to a sixty-pound child. If your child weighs forty pounds, We need to find how much should they have. Let's find out :

For medication purpose , 60 pounds require 2 teaspoons . So , 1 pounds require :

⇒ $\frac{2}{60}$