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3 years ago

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11) Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening. How much more of an hour did Wayne spen

d exercising in the morning than in the evening? *

1 answer:

Brums [2.3K]3 years ago

8 0

He spent 3/6 hours more or 30 minutes more

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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

Read 2 more answers

Im dum on this but smart on other things look at points too...

Over [174]

Step-by-step explanation:

Whole numbers = Natural numbers + "0"

Integers = Whole numbers + Negative counterparts

Since the set do contains negative numbers, only Rational numbers and Integers are correct. (D)

4 0

2 years ago

Snow is falling at a rate of 2.5 inches per hour.At this rate, how long will it take 8 inches of snow to fall?

jeyben [28]

Answer:

It will take 3.2 hours for 8 inches of snow to fall.

Step-by-step explanation:

You can solve this be going "backwards".

You have 2.5 inches of snow falling per hour for x hours until you get 8 inches of snow, which can be represented like this:

2.5x=8 From here you being to solve by isolating x on one side of the equation. You would divide both sides by 2.5 to do this

2.5x=8

/2.5 /2.5

8 divided by 2.5 is 3.2 and you then get

x=3.2

It takes 3.2 hours for 8 inches of snow to fall

8 0

3 years ago

Solve by addition method <br>3x+y=8 <br>2x-y=7

Vinil7 [7]

Answer:

(3,-1)

Step-by-step explanation:

So we have the system of equations:

$3x+y=8\\2x-y=7$

As directed, add straight down. The y-variable will cancel:

$5x=15$

Now, divide both sides by 5. The left cancels:

$x=3$

So x is 3.

Now, substitute 3 for x in either of the equations:

$3x+y=8$

Substitute 3 for x:

$3(3)+y=8$

Multiply:

$9+y=8$

Subtract 9 from both sides:

$y=-1$

So, our answer is: x=3, y=-1 or (3,-1).

And we are done :)

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3 years ago

Can you represent the data with an equation? If so write the equation.

dlinn [17]

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3 years ago