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Likurg_2 [28]
4 years ago
12

An Urn contains two white marbles and one black marble. A marble is drawn from the Urn without replacement and put aside without

my seeing it. Then a second marble is drawn, and it is white.
What is the probability that the unknown removed marble is white, and what is the probability that it is black?
Mathematics
1 answer:
algol [13]4 years ago
4 0

Answer:

Step-by-step explanation:

No. Of white marble n(W) = 2

No. Of black marble n(B) = 1

Total no. Of marble N = 2 + 1 = 3

Prob(1st is white) = n(W)/N = 2/3

Prob(1st is black) = n(B)/N = 1/3

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149 cars are waiting to take a ferry across the channel. Each ferry can only hold 18 cars. How many cars will be on the last fer
STatiana [176]

Answer:

5 cars will be on the last ferry

Step-by-step explanation:

If you divide 149 by 8, you get 8.27.

Since each ferry can hold 18 cars, you multipy 18 by 8 which results in 144. Then you subtract 144 from 149 and you get 5 :)

4 0
3 years ago
Read 2 more answers
Simplify the expression. Write your answer as a power.<br><br> (−5/7)^8⋅(−5/7)^9
dem82 [27]

Answer: (-\frac{5}{7})^{17}

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

(b^a)(b^c)=b^{(a+c)

Where b is the base and a and c are exponents.

 Then simplify it by rewriting the base (-\frac{5}{7}) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}

3 0
4 years ago
· Expand and simplify (x - 2)(x + 7)
lisov135 [29]

Answer:

Expand:

x^2+7x-2x-14

Answer:

x^2+5x-14

Step-by-step explanation:

3 0
3 years ago
What is 2/3 cups of 2 cups
VikaD [51]
Well, you know in math, if you say "what is this number of this number?" It always means you multiply those two numbers. So 2/3 of 2 cups would be saying the same if I said 2/3 cups times 2 cups. Anyways, the answer would be 1.3 with a bar notation over the 3.
5 0
3 years ago
The sum of the first three terms of a sequence is 6 and the fourth term is 16
Sati [7]

Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7   ⇒  a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

6 0
3 years ago
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