The first battle in the Pacific between the empire of Japan against the US and its allies took place on December 8, 1941. The Japanese forces began their conquest on the pacific islands and it started its invasion of the Malaya. They were held by a resistance of British Indian fighter however it was not enough to hold off the overwhelming Japanese force.
You are given the X value, replace x with 2 in the first equation to solve for y:
y=2x +3
y = 2(2) +3
y = 4+3
y = 7
Now replace y with 7 and x iwth 2 in the second equation and solve for k:
y = -x +k
7 = -2 +k
Add 2 to both sides:
9 = k
so k = 9
The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.
K = 9
Answer:
the probability of both spinners land on 2 is 1/12
Step-by-step explanation:
god bless you mark me as brainsliest please
Answer:
See below
Step-by-step explanation:
A binomial distribution has the value of x representing the number of successes in n trials, while a geometric distribution has the value of x representing the first trial that results in a success.
Let's break down the problem step by step.
The sum of 4 times a larger integer can be summarized as:
4x
9 times a smaller integer can be summarized as:
9y
We know that we're adding the two expressions because the beginning of the problem has sum. We also know the sum is 3.
So, we get:
4x + 9y = 3
Continuing with the problem, we have the difference between 8 times the larger
8x
We also have 3 times the smaller
3y
This part of the problem mentions the difference between these expressions so we subtract and we know the difference is 27.
8x - 3y = 27
Now, we have both equations so we can solve for either x or y.
4x + 9y = 3
8x - 3y = 27
It's easier to multiply the 4x equation by 2 to have both equations resulting in 8x
(4x + 9y = 3) * 2
We get:
8x +18y = 6
So, we now have:
8x + 18y = 6
8x - 3y = 27
We can subtract the x to get y by itself. We get:
21y = -21
Solve for y and we get:
y = -1
Since we know what y is, we can plug that in and solve for x. It doesn't matter which equation you plug y back in. I'm gonna use the second equation.
8x - 3y = 27
8x - 3 (-1) = 27
8x + 3 = 27
8x = 24
x = 3
So, we now know that
y = -1
x = 3
Hope this helped! If you have any questions then please leave a comment!