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4 years ago

I need help with this equation7/12 divided by 2/5

Mathematics

1 answer:

DerKrebs [107]4 years ago

5 0

Answer:

1 11/24

Step-by-step explanation:

Flip 2/5 into 5/2 then multiply 7/12 by that

5/2 times 7/12= 35/11=1 11/24

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Find the jacobian of the transformation. x = u2 + uv, y = uv2

atroni [7]

$\mathbf J=\begin{bmatrix}\dfrac{\partial x}{\partial u}&\dfrac{\partial x}{\partial v}\\\\\dfrac{\partial y}{\partial u}&\dfrac{\partial y}{\partial v}\end{bmatrix}=\begin{bmatrix}2u+v&u\\v^2&2uv\end{bmatrix}$

The Jacobian has determinant

$\det\mathbf J=\begin{vmatrix}2u+v&u\\v^2&2uv\end{vmatrix}=(2u+v)2uv-uv^2=4u^2v+uv^2=uv(4u+v)$

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4 years ago

Find the 4 numbers which have a mode of 12, a median of 14 and range of 10

DiKsa [7]

Answer:12, 12, 16, 22

Step-by-step explanation:

1. The number that occurs most is the mode

2. The range is the difference between the highest number and the lowest number.

3. The median in this case is the mean of the two middle numbers

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3 years ago

How to solve 45 45 90 triangle given hypotenuse?

statuscvo [17]

From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
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4 years ago

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Fynjy0 [20]

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Step-by-step explanation:

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4 years ago

Nts) in a certain population of voters, 72% of them plan to vote in favor of a new

Ganezh [65]

Answer:

Probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.

Step-by-step explanation:

Consider the event of voting against the piece as success, 'p'. So, voting in favor of the piece is failure and denoted by 'q'.

Given:

Sample size is, $n=25$

Probability of failure is, $q=72\%=0.72$

Therefore, probability of success is, $p=1-q=1-0.72=0.28$

Number of successes is, $x=10$

Now, from Bernoulli's distribution, probability of $x$ successes out of $n$ samples is given as:

$P(X=x)=_{n}^{x}\textrm{C}p^xq^{n-x}$

Here, $n=25,x=10,p=0.28,q=0.72$ . Therefore,

$P(X=10)=_{25}^{10}\textrm{C}(0.28)^{10}(0.72)^{25-10}\\P(X=10)=_{25}^{10}\textrm{C}(0.28)^{10}(0.72)^{15}\\P(X=10)=3.269\times 10^{6}\times 2.962\times 10^{-6}\times 7.244\times 10^{-3}\\P(X=10)=70.142\times 10^{-3}=0.0701=7.01\%$

Therefore, probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.

8 0

3 years ago