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3 years ago

6x-3y=20 through (4,-3)

1 answer:

7 0

Well x = 4 and y = -3 so what we would do is plug in the numbers like this.
6 x 4-3 x -3 = 20
Then lets break down the problem.
6x4=24 and 3x-3=-9
Now plug those numbers into our equation.
24 - (-9)=20
Then figure out the problem.
24 - (-9) = 33
So the x,y is wrong.

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The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacemen

mamaluj [8]

<h2>Answer:</h2>

(a)

The probability is : 1/2

(b)

The probability is : 1/2

<h2>Step-by-step explanation:</h2>

The numbers 1, 2, 3, 4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2) (1,3) (1,4) (1,5)

(2,1) (2,3) (2,4) (2,5)

(3,1) (3,2) (3,4) (3,5)

(4,1) (4,2) (4,3) (4,5)

(5,1) (5,2) (5,3) (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

We know that it could be calculated by using the formula:

$P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}$

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is: (4,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

P(A|B)

Hence, based on the data we have:

$P(A\bigcap B)=\dfrac{1}{20}$

( since, the only outcome out of 20 outcomes is: (3,5) )

and

$P(B)=\dfrac{2}{20}$

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

$P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}$

7 0

3 years ago

Hello help if u dont know dont even try to comment.

aniked [119]

Answer:

distance = 8.35 inch

Step-by-step explanation:

here's your solution

=> scale is , 1 inch = 20 feet

=> distance between room in feet = 167 feet

=> so, distance in inch = 167/20

=> distance = 8.35 inch

hope it helps

6 0

3 years ago

I can't find the answer to this anywhere so you'd be a huge help!

miv72 [106K]

Answer:

The answer would be d

Step-by-step explanation:

10^0 would be 0 because multiplying anything by 0 would result in 0 and 10^1 would be 10 and 10^2 would be 100 so adding them together would be 110. Hope this helped :)

3 0

3 years ago

Read 2 more answers

Which operation should be performed first for calculations involving more than one arithmetic operation?

liq [111]

Operations are performed according to the Order of Operations. Sometimes the mnemonic PEMDAS or BIDMAS is used to remind you what the order is.

P/B - parentheses/brackets. The content of these is evaluated first.

E/I - exponents/indices. Exponentiation is done first, right to left: a^b^c = a^(b^c).

MD/DM - multiplication and division are done in order of appearance, left to right. Each has equal priority, neither is done before the other unless it appears in the expression first. a/bc = (a/b)c. ab/c = (ab)/c

AS - addition and subtraction are done in order of appearance, left to right. Each has equal priority.
_____
When functions are involved (sin( ), log( ), sqrt( ), for example), their arguments are evaluated according to the order of operations, then the function is evaluated, then the remainder of the operations are performed. For example, sin(a)^2 = (sin(a))^2. Sometimes, this is written sin^2(a).

When functions are written without parentheses around their arguments, it must be assumed that the function only applies to the first entity following the function name. log ab+c/d = (log(a)*b)+(c/d), for example, or √3x = (√3)x.

6 0

3 years ago

Please show your work!! <br> I’ll appreciate it thank you so much!!!

FinnZ [79.3K]

Answer:

1. x=55 2. x=12

Step-by-step explanation:

1. 3x-60=x+50

2x=110

x=55

2. 8x-34=5x+2

3x=36

x=12

7 0

2 years ago

Read 2 more answers