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3 years ago

Simplify 5/12 x 1/12A. 1/5B. 5/144C. 12/60D. 5

Mathematics

2 answers:

Sophie [7]3 years ago

7 0

Step-by-step explanation:

The answer would be B.5/144

5 1 5

---- x ----- = -----

12 12 144

12 x 12 = 144

amm18123 years ago

3 0

Answer:

B. 5/144

5 can't go in 144 evenly. so its leading to 5/144

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A collection of 30 gems, all of which are identical in appearance, are supposedto be genuine diamonds, but actually contain 8 wo

levacccp [35]

Answer:

Step-by-step explanation:

From the given information:

There are 30 collections of gems, of which 8 are worthless;

Thus, the number of the genuine diamonds = 30 - 8 = 22.

Let X = random variable;

X consider the value as 0 (for 2 worthless stone selection),

X = 1200(1 worthless stone & 1 genuine stone)

X = 2400 (2 genuine stones selected)

However, the numbers of ways of selecting and chosen Gems can be estimated as:

$(^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435$

Thus;

$Pr (X = 0) = \dfrac{(^8_2)}{435}$

$Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644$

$P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}$

$P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}$

$P(X =1200) = \dfrac{ (8) ( 22) }{435}$

$P(X =1200) =0.4046$

$Pr (X = 2400) = \dfrac{(^{22}_2)}{435}$

$Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310$

To find E(X):

E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)

E(X) = 0 + 485.52 + 1274.4

E(X) = 1759.92

8 0

3 years ago

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!! Only need 4b and 4c

JulsSmile [24]

ANSWER:

b) No

c) Yes

EXPLANATION:

$3 (x+1)=3x+3$

3 (-8 + 1) = 3 x -8 + 3

(3 x -8) (3 x +1) = 3 x -8 + 3 (just put left and right sides into calcu separately)

-72 = -21

Both sides are not equal and therefore it isn't a solution.

3 (0.5 + 1) = 3 x 0.5 + 3

(3 x 0.5) (3 x +1) = 3 x 0.5 + 3

4.5 = 4.5

Both sides are equal and thereofre it IS a solution.

6 0

3 years ago

The selling price of an item is $360. After 6 months of not selling, it is marked down by 10%. After another 6 months of not

FrozenT [24]

Answer:

1st markdown = $324

2nd markdown = $259.20

Step-by-step explanation:

current price = 360

1st 6 months = 10% down

= 90% of 360

= 324

2nd 6 month = 20% down of first 6 month

= 20% down of 324

= 80% of 324

= 259.20

6 0

3 years ago

2. Write the coefficient of 'a' in each of the '5ax'

Mariana [72]

Answer:

5 is the answer ok?

Step-by-step explanation:

cuz math

6 0

3 years ago

Read 2 more answers

Express the first quantity as a percentage of the second quantity.

lilavasa [31]

Answer:

1) 133⅓ %

2) 112½ %

Step-by-step explanation:

1) 2 years = 2×12 = 24 months

24/18 × 100 = 133.33%

2) 225mm = 225/10 = 22.5 cm

22.5/20 × 100 = 112.5%

6 0

3 years ago

Simplify 5/12 x 1/12A. 1/5B. 5/144C. 12/60D. 5​

Simplify 5/12 x 1/12A. 1/5B. 5/144C. 12/60D. 5