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Crank
3 years ago
9

Which expression shows the result of applying the distributive property to −2(13x−15)−2(13x−15) ?

Mathematics
2 answers:
finlep [7]3 years ago
8 0

Answer:

Option A is correct.

-\frac{2}{3}x +\frac{2}{5}

Step-by-step explanation:

Given that: -2(\frac{1}{3}x-\frac{1}{5})        .....[1]

The distributive property says that:

a\cdot (b+c) = a\cdot b + a\cdot c

Apply the distributive property in equation [1] we get;

-2 \cdot \frac{1}{3}x + 2 \cdot \frac{1}{5}

Simplify:

-\frac{2}{3}x +\frac{2}{5}

Therefore, the expression that shows the result of applying the distributive property to  -2(\frac{1}{3}x-\frac{1}{5}) is, -\frac{2}{3}x +\frac{2}{5}

defon3 years ago
3 0
D is the answer good luck

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Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on
Iteru [2.4K]

Answer:

P(X_i=2) =\dfrac{1}{6}

P(X_i=-1) =\dfrac{5}{6}

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

_nC_r = \frac{n!}{r!(n-r)!}

Here, n = 4 and r = 2.

So, total number of ways = _4C_2  = \frac{4!}{2!\times 2!} = 6

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. _2C_2 = \frac{2!}{2! 0! } = 1

Now, let us have a look at the formula of probability of an event E:

P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}

So, the probability of winning.

P(X_i=2) =\dfrac{1}{6}

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

P(X_i=-1) =\dfrac{5}{6}

Please refer to the attached image for answer table.

7 0
3 years ago
Could i have help??? <br><br> There is 2 questions.
liberstina [14]
First one:
3x+5<23
3x<18 (subtract 5 from both sides)
x<6
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Second one:
3(x-4)+5(2x+1)
3x-12+10x+5 (distribute)
So the answer is C

Hope this helps
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