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Eva8 [605]
2 years ago
14

What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5?

Mathematics
1 answer:
noname [10]2 years ago
6 0

Answer:

y=6/5x-8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

Since we are already given the slope of the line, we can immediately plug it into the equation:

y=6/5x+b

Now we need to find b

Since the equation passes through the point (5, -2), we can use it to solve for b

Substitute 5 as x and -2 as y:

-2=6/5(5)+b

Multiply

-2=6+b

Subtract 6 from both sides

-8=b

Substitute -8 as b.

y=6/5x-8

Hope this helps!

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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
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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

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