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damaskus [11]
3 years ago
7

1/3h-4(2/3h-3=2/3h-6 how to solve ?

Mathematics
1 answer:
allsm [11]3 years ago
7 0
Let's solve your equation step-by-step.<span><span><span><span>13</span>h</span>−<span>4<span>(<span><span><span>23</span>h</span>−3</span>)</span></span></span>=<span><span><span>23</span>h</span>−6</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>13</span>h</span>−<span>4<span>(<span><span><span>23</span>h</span>−3</span>)</span></span></span>=<span><span><span>23</span>h</span>−6</span></span> <span>Simplify: (Show steps)</span> <span><span><span><span><span>−7</span>3</span>h</span>+12</span>=<span><span><span>23</span>h</span>−6</span></span>Step 2: Subtract 2/3h from both sides.<span><span><span><span><span><span>−7</span>3</span>h</span>+12</span>−<span><span>23</span>h</span></span>=<span><span><span><span>23</span>h</span>−6</span>−<span><span>23</span>h</span></span></span><span><span><span>−<span>3h</span></span>+12</span>=<span>−6</span></span>Step 3: Subtract 12 from both sides.<span><span><span><span>−<span>3h</span></span>+12</span>−12</span>=<span><span>−6</span>−12</span></span><span><span>−<span>3h</span></span>=<span>−18</span></span>Step 4: Divide both sides by -3.<span><span><span>−<span>3h</span></span><span>−3</span></span>=<span><span>−18</span><span>−3</span></span></span><span>h=6</span>Answer:<span>h=6</span>
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A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states. What is the probability that sh
marissa [1.9K]

Answer:

P (She selects the route of four specific capitals) = \frac{1}{2686320}=(3.7226)10^{-7}

D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.

Step-by-step explanation:

Let's start assuming that each route is equally likely to be chosen.

Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :

P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states

The favourable cases in which the route of four specific capitals is selected is equal to 1 .

For the denominator we need the permutation number of 4 in 42.

The permutation number is defined as :

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

42P4=\frac{42!}{(42-4)!}=\frac{42!}{38!}=2686320

The probability of event A is : \frac{1}{2686320}=(3.7226)10^{-7}

Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.

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3 years ago
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Answer:

The sum is 32766.

Step-by-step explanation:

The 7 terms of the series are as follows:

n_i = 6\cdot 4^i\,\,\,\mbox{for}\,\,\, i=0,1,...,6

namely: 6, 24, 96, 384, 1536, 6144, 24576

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