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3 years ago

Solve: 12/35 − 5/21 a. 11/105 b. 3/7 c. 61/105

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

Answer:

a: 11/105

Step-by-step explanation:

Simplify the following:

12/35 - 5/21

Put 12/35 - 5/21 over the common denominator 105. 12/35 - 5/21 = (3×12)/105 + (5 (-5))/105:

(3×12)/105 + (5 (-5))/105

3×12 = 36:

36/105 + (5 (-5))/105

5 (-5) = -25:

36/105 + (-25)/105

36/105 - 25/105 = (36 - 25)/105:

(36 - 25)/105

| 3 | 6

- | 2 | 5

| 1 | 1:

Answer: 11/105

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Suppose I have an urn with 9 balls: 4 green, 3 yellow and 2 white ones. I draw a ball from the urn repeatedly with replacement.

Mrrafil [7]

Answer:

$E(X_n)=\frac{2(n-1)}{27}$

$E(y)=\frac{14}{9}$

Step-by-step explanation:

From the question we are told that:

Sample size n=9

Number of Green $g=4$

Number of yellow $y=4$

Number of white $w=4$

Probability of Green Followed by yellow P(GY) ball

$P(GY)=\frac{4}{9}*\frac{3}{9}$

$P(GY)=\frac{4}{27}$

Generally the equations for when n is even is mathematically given by

$Probability of success P(S)=\frac{4}{27}$

$Probability of Failure P(F)=\frac{27-4}{27}$

$Probability of Failure P(F)=\frac{23}{27}$

Therefore

$E(X_n)=\frac{n}{2}*P$

$E(X_n)=\frac{n}{2}*\frac{4}{27}$

$E(X_n)=\frac{2n}{27}$

Generally the equations for when n is odd is mathematically given by

$\frac{n-1}{2}$

$E(X_n)=\frac{n-1}{2}*\frac{4}{27}$

$E(X_n)=\frac{2(n-1)}{27}$

Probability of drawing white ball

$P(w)=\frac{2}{9}$

Therefore

$E(w)=\frac{1}{p}$

$E(w)=\frac{1}{\frac{2}{9}}$

$E(w)=\frac{9}{2}$

Therefore

$E(y)=[E(w)-1]\frac{4}{9}$

$E(y)=[\frac{9}{2}-1]\frac{4}{9}$

$E(y)=\frac{14}{9}$

5 0

3 years ago

Tom has a can of paint that covers 37 1/2 m² each board on the fence has a area of 3/16 m² how many boards can he paint.

kramer

Step-by-step explanation:

37 and 1/2 divided by 3/16 =

75/2 divided by 3/16 =

75/2 * 16/3 =

25*8 = 200 <--- 75 cancels 3; 16 cancels 2

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3 years ago

What is the answer for 6a + 5a = -11

gayaneshka [121]

A= -1
You add the 6a and 5a.
Your equation is then 11a= -11
At this point you divide each side by 11 to get "a" by itself.

7 0

3 years ago

Read 2 more answers

Can you explain please?

tia_tia [17]

Answer: To right in different numbers

Step-by-step explanation:

7 0

3 years ago

How do you work out 2/3 of 15? 4/5? of 20? 1/5 of 85? 1/8 of 96 2/5 of 65? 3/5 135? 4/5 of 200? 3/10 of 30? 3/10 of 25?

solniwko [45]

Answer:

Take your numerator times the whole number, then divide by the denominator. For example,

2x15= 30

30/3= 10

2/3 of 15 would be 10

8 0

3 years ago