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Arlecino [84]
4 years ago
9

-2(x+5)=4 use distributive property

Mathematics
2 answers:
MAVERICK [17]4 years ago
6 0

Answer:

-2x - 10 = 4

Step-by-step explanation:

distributive property is were you distribute (give out) this to every one

(-2 time x) + (-2 times 5) = 4

-2x - 10 = 4

now solving for x all you do is add ten to both sides --> -2x = 14

now divide by -2 to get x alone --> x = 14/-2 = X = -7

Hatshy [7]4 years ago
3 0

Answer:x=-7

Step-by-step explanation:

-2(x)+(-2)(5)=4

-2x-10=4

-2x=14

x=-7

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Step-by-step explanation:

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3 years ago
In a shipment of 20 packages, 7 packages are damaged. The packages are randomly inspected, one at a time, without replacement, u
horsena [70]

Answer:

      \large\boxed{\large\boxed{0.119}}

Explanation:

You need to find the probability that exactly three of the first 11 inspected packages are damaged and the fourth is damaged too.

<u>1. Start with the first 11 inspected packages:</u>

a) The number of combinations in which 11 packages can be taken from the 20 available packages is given by the combinatory formula:

     C(m,n)=\dfrac{m!}{m!(m-n)!}

      C(20,11)=\dfrac{20!}{11!\cdot(20-11)!}

b) The number of combinations in which 3 damaged packages can be chossen from 7 damaged packages is:

      C(7,3)=\dfrac{7!}{3!\cdot(7-3)!}

c) The number of cominations in which 8 good packages can be choosen from 13 good pacakes is:

      C(13,8)=\dfrac{13!}{8!\cdot(13-8)!}

d) The number of cominations in which 3 damaged packages and 8 good packages are chosen in the first 11 selections is:

         C(7,3)\times C(13,8)

e) The probability is the number of favorable outcomes divided by the number of possible outcomes, then that is:

        \dfrac{C(7,3)\times C(13,8)}{C(20,11)}

Subsituting:

             \dfrac{\dfrac{7!}{3!\cdot(7-3)!}\times \dfrac{13!}{8!\cdot(13-8)!}}{\dfrac{20!}{11!\cdot(20-11)!}}

             =\dfrac{\dfrac{7!}{3!\cdot 4!}\times \dfrac{13!}{8!\cdot 5!}}{\dfrac{20!}{11!\cdot 9!}}=0.26818885

<u>2. The 12th package</u>

The probability 12th package is damaged too is 7 - 3 = 4, out of 20 - 11 = 9:

<u>3. Finally</u>

The probability that exactly 12 packages are inspected to find exactly 4 damaged packages is the product of the two calculated probabilities:

         0.26818885\times 4/9=0.119

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4 years ago
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Leokris [45]

Answer:

Arc Length : 43.98

Sector Area : 175.92

Step-by-step explanation:

Formula for Arc Length : 2·π·r·Ф / 360

Formula for Sector Area : π·r^{2}·Ф / 360

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Arc Length : 2 · π · 8 · 315 / 360 = 43.98

Sector Area : π · 8^{2} · 315 / 360 = 175.92

hope this helps !! :D

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3 years ago
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