Answer:
The probability that two orange marbles are drawn (and only those two), is 1/66, or approximately 1.5%
Step-by-step explanation:
The total number of marbles in the bag is 2 + 4 + 6, which equals 12.
We're told that there are two yellow marbles, so the chance of picking a yellow one on the first try is 2/12, or 1/6.
After that marble is drawn, we now have 11 marbles in the bag, and only 1 of them is yellow, so the chance of drawing a second yellow marble is 1/11
The total probability of drawing two yellow marbles then is:
1/6 × 1/11 = 1/66, or approximately 1.5%
Your answer would be 48 3/17
<h3>
Answer: -29</h3>
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Work Shown:
f(x) = 6x + b
f(5) = 6(5) + b .... replace every x with 5
f(5) = 30 + b
1 = 30 + b ..... replace f(5) with 1, since f(5) = 1 was given.
1-30 = 30 + b - 30 .... subtract 30 from both sides
-29 = b
b = -29
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The function f(x) = 6x+b turns into f(x) = 6x+(-29) which is equivalent to f(x) = 6x-29
Plugging in x = 5 leads to
f(x) = 6x-29
f(5) = 6(5) - 29
f(5) = 30 - 29
f(5) = 1
So we have confirmed the answer.
Add 6 7 and two you get 15 xy subtract -11 and -4 you get positive 7xy add 15 and 7 and you get 22xy
Answer:
120
Step-by-step explanation:
volume of triangular prism = area of base times length
the base is a triangle and the area of a triangle can be calculated by using this formula

where b = base length and h = height
Dimensions of base
base length = 8cm and height = 3cm
Thus,

The length of the triangular prism is 10cm
Thus volume = 10 * 12 = 120