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lisabon 2012 [21]
4 years ago
14

Equivalent fractions of 4/5

Mathematics
2 answers:
Sonbull [250]4 years ago
5 0
\frac{8}{10}  \frac{16}{20}  \frac{12}{15}
Hope this helps :)
ddd [48]4 years ago
3 0
A fraction equivalent to 4/5 is 8/10,also 12/15.To find an equivalent fraction all you have to do is multiply the numerator and denominator by the same number.
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The probability that A will die within the next 20 years is 0.025, and that B will die within the next 20 years is 0.030. What i
sergey [27]

Answer:

0.00075

0.02425

0.94575

Step-by-step explanation:

Let E1 be the event that A dies within next 20 years and E2 be the event that B dies within next 20 years.

Probability that E1 occurs = P(E1) = 0.025

Probability that E2 occurs= P(E2)= 0.030

Since the two events does not depend on each other, E1 and E2 are independent events.

For two independents E1 and E2 , the probability that both E1 and E2 occurs simultaneously is P(E1 ∩ E2) is given by:

P(E1 ∩ E2) = P(E1)*P(E2)

Probability that both A and B dies in next 20 years = 0.025\times0.03=0.00075

Probability that A will die and B will not die is given by=

P(E1 ∩ E2') = P(E1) - P(E1 ∩ E2) = 0.025 - 0.00075 = 0.02425.

Probability that neither A nor B dies is given by=

P(E1' ∩ E2') = 1 - [ P(E1 ∪ E2) ] = 1 - [ P(E1) + P(E2) - P(E1 ∩ E2) ]

                                                = 1 - [0.025 + 0.030 - 0.00075] = 0.94575

4 0
3 years ago
A college has thirteen instructors qualified to teach a special computer laboratory course which requires two instructors to be
Kobotan [32]

Answer:

156 different pairs will be there.

Step-by-step explanation:

As the order is  essential as we need different pairs therefore permutations will be used.

A permutation is any ordered subset of the objects r selected with regard to their order, from the set of  n distinct objects. It is given by nPr where n> r

Total number is 13 and required number is 2

n= 13 and r= 2

13 P2= 156 possible combinations.

A combination is any subset of the objects r selected without regard to their order, from the set of  n distinct objects. It is given by nCr where n> r

5 0
3 years ago
What is 30-60-90 when it comes to triangles
NeTakaya
It is a speacial right triangle. It always has 30,60, or 90 degrees.
4 0
3 years ago
Students sold yogurt to raise money for graduation. The first 20 yogurts sold cost $5 each. To sell more yogurt they lowered the
goblinko [34]
5(20) + 4y = 216
100 + 4y = 216
4y = 216 - 100
4y = 116
y = 116/4
y = 29.....so they sold 29 four-dollar yogurts + 20 five-dollar yogurts....for a total of 49 yogurts sold  <==
7 0
3 years ago
Match each differential equation to a function which is a solution.
inessss [21]

Answer: 1 - C

2 - E

3 - no answer

4 - B

Step-by-step explanation:

A. y = 3x+x^2

y' = 3 + 2x\\y'' = 2

  • Replace in 1:

y'' + y = 0

2 + 3x + x^2 \neq 0

So, A is not an answer for 1

  • Replace in 2:

y' = 3y

3+2x = 3(3x + x^2)

So, A is not an answer for 2

  • Replace in 3

2x^2y'' + 3xy'= y

2x^2(2) + 3x(3 + 2x) = 4x^2 + 9x + 6x^2 \neq 3x+x^2

So, A is not an answer for 3

  • Replace in 4

y'' + 6y' + 8y = 0

2 + 6(3+2x)+8(3x + x^2) = 2+18+12x+24x+8x^2 \neq 0

So, A is not an answer for 4

B. y = e^{-4x}

y' = -4e^{-4x}

y'' = 16e^{-4x}

  • Replace in 1

y'' + y = 0

16e^{-4x} -4e^{-4x} = 12e^{-4x} \neq 0

So, B is not an answer for 1

  • Replace in 2

y' = 3y

-4e^{-4x} \neq 3e^{-4x}

So, B is not an answer for 2

  • Replace in 3

2x^2y'' + 3xy' = y

2x^2(16e^{-4x}) +3x(-4e^{-4x}) \neq  e^{-4x}

So, B is not an answer for 3

  • Replace in 4

y'' + 6y' +8y = 0

16e^{-4x} + 6(-4e^{-4x}) + 8e^{-4x} = e^{-4x}(16-24+8) = 0

So, B is an answer for 4

C. y = sin(x)

y' = cos(x)

y'' = -sin(x)

  • Replace in 1

y'' + y = 0

-sin(x) + sin(x) = 0

So, C is an answer for 1

We jump to

D. y = x^{12}

y' = 12x^{11}

y'' = 132 x^{10}

  • Replace in 2

y' = 3y

12x^{11} \neq 3x^{12}

So, D is not an answer for 2

  • Replace in 3

2x^2y'' + 3xy' = y

2x^2(132x^{10}) + 3x(12x^{11}) = 300x^{12} \neq x^{12}

So, D is not an answer for 3

E. y = 6e^{3x}

y' = 18e^{3x}

y'' = 54e^{3x}

  • Replace in 2

y' = 3y

18e^{3x} = 3(6e^{3x}) = 18e^{3x}

So, E is an answer for 2

3 0
3 years ago
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