Please help. I don't understand how to figure out the problem.

A bicycle lock has a four-digit code. The possible digits, 0 What is the probability that the lock code will begin with

nika2105 [10]

Answer:

0.1-0.6

Step-by-step explanation:

First let's find the number of the elements in the sample space, that is the total number of codes that can be produced.

The first digit is any of {0, 1, 2...,9}, that is 10 possibilities

the second digit is any of the remaining 9, after having picked one.

and so on...

so in total there are 10*9*8*7 = 5040 codes.

a. What is the probability that the lock code will begin with 5?

Lets fix the first number as 5. Then there are 9 possibilities for the second digit, 8 for the third on and 7 for the last digit.

Thus, there are 1*9*8*7=504 codes which start with 5.

so

P(first digit is five)=

b. What is the probability that the lock code will not contain the number 0?

from the set {0, 1, 2...., } we exclude 0, and we are left with {1, 2, ...9}

from which we can form in total 9*8*7*6 codes which do not contain 0.

P(codes without 0)=n(codes without 0)/n(all codes)=(9*8*7*6)/(10*9*8*7)=6/10=0.6

Answer:

0.1 ; 0.6

8 0

3 years ago

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How do you show work for partial quotients 540÷36

liq [111]

Answer:

You would use long division and use work it out in your answer sheet. But the answer to that is 15

Step-by-step explanation:

4 0

3 years ago

The rectangular prism is to be sliced perpendicular to the shaded face and is to pass through point B, parallel to the front fac

kodGreya [7K]

The dimensions of the rectangular cross section will be 10 centimeters by 18 centimeters

Step-by-step explanation:

As ,we know

The rectangular cross section is parallel to the front face

Which clearly states that

The dimensions of the rectangular cross section is congruent with the dimensions of the front face

Lets assume that dimensions of the front face are 10 centimeters by 18 centimeters

Then ,The dimensions of the cross section will also be 10 centimeters by 18 centimeters

Hence we can say that the dimensions of the rectangular cross section will be 10 centimeters by 18 centimeters

4 0

3 years ago

How do you do this? Please give an example to #1 and explain thoroughly please. I have asked multiple times and gotten answers I

liberstina [14]

Answer:

y=2x

Step-by-step explanation:

y = kx is the format of the graph we are looking for (as told in the instructions) where k is the variable we are supposed to find (like y = x, y=2x, y=3x, etc)

Note that as x increases by 1, y increases by 2. We can see that by writing a table of the points of points that the line given intersects (picture below). We can see that by the values of the x-axis and the y-axis. Why does this happen? This is because y =2x for each value of x. We notice that in our table.

Therefore, the equation is y=2x. I hope this helps! If you still have questions, ask me in the comments!

4 0

3 years ago

I’m confused on this one

RoseWind [281]

It's reflection; it's not translation

so answer is the last one.

d. No; it is one reflection after another with respect to the two parallel lines.

hope it helps

7 0

3 years ago

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