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PolarNik [594]
3 years ago
12

Two balls are pulled one after another, without replacement, from the box containing three black, five yellow, and seven red bal

ls. What is the probability that the 1st ball is yellow, if the 2nd ball is black
Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

1/14

Step-by-step explanation:

5/15 × 3/14 = 1/14

Or 0.0714 (3sf)

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The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?
RSB [31]
The answer would be a. 288. hope that helped
3 0
3 years ago
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Complete the paragraph proof. We are given that ∠B ≅ ∠C. Assume segment AB is not congruent to . If AB > AC, then m∠C > m∠
Lorico [155]

Given that ∠B ≅ ∠C.

to prove that the sides AB = AC

This can be done by the method of contradiction.  

If possible let AB \neq=AC

Then either AB>AC or AB<AC

Case i:  If AB>AC, then by triangle axiom, Angle C > angle B.

But since angle C = angle B, we get AB cannot be greater than AC

Case ii:  If AB<AC, then by triangle axiom, Angle C < angle B.

But since angle C = angle B, we get AB cannot be less than AC

Conclusion:

Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC

Hence if angle B = angle C it follows that

AB = AC, and AB ≅ AC.

6 0
3 years ago
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Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step
Lostsunrise [7]

Answer:  \bold{x=\dfrac{11}{21}}

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

\dfrac{2}{3}-\dfrac{4x+7}{2}=-9x+\dfrac{5}{6}\\\\(6)\dfrac{2}{3}-(6)\dfrac{4x+7}{2}=-9x(6)+(6)\dfrac{5}{6}\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=\dfrac{22}{42}\qquad \text{(divided both sides by 42)}\\\\x=\dfrac{11}{21}\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted.  I assumed it was 4x + 7 in order to solve the equation.

6 0
3 years ago
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mihalych1998 [28]
If she is making 6 costumes that need 3 7/9 yards each, the equation would be 6 x 3 7/9.

The answer to that equation would be 22 2/3.

How to get the answer:
3 x 6 = 18
7 x 6 = 42 (the seven is from the 7/9)
42/9 = 4 2/3

then add the eight teen and the 4 2/3 and you get 22 2/3.
3 0
3 years ago
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
babunello [35]
65.52 will be the answer
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