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KatRina [158]
3 years ago
12

What is the value of the expression below? 3/8+(-4/5)+(-3/8)+5/4

Mathematics
2 answers:
Tamiku [17]3 years ago
7 0
Before I put in the actual expression, let's figure out which sign is which. A positive sign and a negative sign make a negative sign. This applies for the first two pairs of signs. That would make it :

\frac{3}{8} - \frac{4}{5} - \frac{3}{8} + \frac{5}{4}

First thing is first : let's subtract the first two fractions. \frac{3}{8} - \frac{4}{5}. We would have to find the common multiple between 8 and 5, and that would be 40. So we change them both to 40, and we do to the numerator what we do to the denominator. \frac{15}{40} - \frac{32}{40}. That makes \frac{-17}{40}. (Now we subtract this and the next fraction. Again, we find the common multiple. The common multiple is 40.)

\frac{-17}{40} - \frac{3}{8} turns into \frac{-17}{40} - \frac{15}{40}. (-17 - 15 is -32.)

\frac{-32}{40} + \frac{5}{4} : (use common multiple, it changes) \frac{-32}{40} + \frac{50}{40}.

(-32 + 50 is 18.) \frac{18}{40}.

Simplified : \frac{9}{20}

ANS. IN FRACTION FORM : \frac{9}{20}
ANS. IN DECIMAL FORM : 0.45
Crazy boy [7]3 years ago
4 0
It will help you!

=-17/40+-3/8+5/4

= -4/5+5/4

= 9/20 

And the answer is 9/20 or decimals (0.45)

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3 0
3 years ago
A= [2, 3; 2, 1], B=[3; 5]. Find AB &amp; BA if possible
oksano4ka [1.4K]

Answer:

The value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right] and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right], B=\left[\begin{array}{ccc}3\\5\end{array}\right]

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2  and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]

AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]

AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]

AB=\left[\begin{array}{ccc}21\\11\end{array}\right]

Hence, the value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right]

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1  and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

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3 years ago
The college student senate is sponsoring a spring break Caribbean cruise raffle, with proceeds going to the local homeless shelt
drek231 [11]

Answer:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

Step-by-step explanation:

A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

p=10/2900\approx0.00345

Each ticket cost $5, so he has spent $50 for the 10 tickets.

Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

E(X)=p\cdot R-C\\\\E(X)=0.00345\cdot3000-50=10.35-50=-39.65

The mathematical expectation of a student who purchases 10 tickets is -$39.65.

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so the polygon is completely congruent with the premise and image since the shape didn’t change

3 0
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Answer:

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3 years ago
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