Answer:
(-2, 3)
Step-by-step explanation:
A is translated from (5, 1) to A' at (6, -2).
That is, it moves <em>one unit to the right and three units down</em>.
B is also translated to B' one unit to the right and three units down to (-1, 0).
B must be <em>one unit to the left and three units above B'</em>.
Thus, the coordinates of B are (-2, 3).
The diagram below shows the translation of side AB of ∆ABC to its new location at A'B'.
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
Answer:
x = 2√2
Step-by-step explanation:
This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.
In the case, the hypotenuse is already 4. So we have the equation:
x√2 = 4
Multiply both sides by √2
2x = 4√2
Divide both sides by 2
x = 2√2
The solution to the given system of equation is (25/7, 6/7)
<h3>System of equation</h3>
Given the system of equation expressed as:
x= - 4y+7 ........... 1
-2y+3x=9 ...........2
Substitute the equation 1 into 2 into have:
-2y + 3(-4y+7) = 9
-2y + 3(-4y) + 3(7) = 9
-2y - 12y + 21 = 9
Collect the like terms
-14y = 9- 21
-14y = -12
y = 6/7
Substitute y = 6/7 into equation 1;
x =-4y + 7
x = -4(6/7) + 7
x= -24/7 + 7
x = -24+49/7
x = 25/7
Hence the solution to the given system of equation is (25/7, 6/7)
Learn more on system of equation here; brainly.com/question/14323743
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Answer:
j<-1
Step-by-step explanation:
10j<-10
divide both sides by 10 and get
j<-1
