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2 years ago

If Jack bought baseball cards and his brother took 30% of them what percent of the cards does Jack now have *

Mathematics

2 answers:

TiliK225 [7]2 years ago

8 0

Well it would be 70% of them because Jack had 100% and 30% minus 100% is 70%

lana [24]2 years ago

4 0

The percentage would be 70%. The total amount of cards Jack has is 100%, since his brother took 30%, you subtract 100% by 30%. You’ll get 70%.

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2/3-1/4 I want the answer please

klemol [59]

You want to make the fractions have the same denominator.
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8/12 - 3/12 = 5/12
5 1/2 is the answer

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If a x b express 12x(10x5)in simplest form

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861 ÷3 show work for this problem please

TEA [102]

861 divided by 3:

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2 years ago

The difference between two integers is 32.The ratio of these integers is 1:3.Find these integers

shutvik [7]

Answer:

16 and 48

Step-by-step explanation:

let the 2 integers be x and 3x ← ratio 1 : 3

Then

3x - x = 32 ← difference between the integers

2x = 32 ( divide both sides by 2 )

x = 16

and 3x = 3 × 16 = 48

Since magnitude of difference is 32

We can also express the difference as

x - 3x = 32

- 2x = 32 ( divide both sides by - 2 )

x = - 16

and 3x = 3 × - 16 = - 48

The 2 integers are 16 and 48 or - 16 and - 48

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3 years ago

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The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power

Mumz [18]

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = $P(\bar F S)$ ∪ $P( \bar S F)$ ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

$=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)$

$=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36$

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

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2 years ago