Answer:


Step-by-step explanation:
The given system is:
4x-3y=8
5x-2y=-11
We make x the subject in the top equation to get:

Plug this expression for x in the bottom equation to get

We expand to obtain

Multiply through by 4

Group similar terms



This means


Answer:
The answer is 7/36.
Step-by-step explanation:
First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word <u>or</u> says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.
Answer:
-
Step-by-step explanation:
Rule for rounding :
You look at the number next to the place value you are meant to round and if the number is :
=
4 and below you round down.
5 and above you round up
Nearest hundred thousand: 100,000
This is because you look at the number next to the hundred thousand spot which is a 2 so you round down
Nearest ten thousand: 130,000
Same reason as before the number next to the 2 in the number is a 6. So you round up
Nearest thousand: 126,000
The number next to the thousandth place value is a 0 so you round down
We have 5x-9 = Y= 2x+6
⇒ 5x-9 = 2x+6
⇒ (5x-2x)+ (-9+9) = (2x-2x)+ (6+9)
⇒ 3x= 15
⇒ x=5
Plug x=5 in Y = 5x-9, we have Y= 5*(5)-9
⇒ Y=16
(x,Y)= (5,16)
Hope this would help :))
Answer:
C) The sample does not accurately represent the population