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Aleksandr [31]
3 years ago
10

5 (x minus 6) = 2 (x + 3)?

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

12

Step-by-step explanation:

5(x-6)=2(x+3)

multiply

5*x and 5*6. 2*x and 2*3

5x-30=2x+6

minus 5x and 2x

3x-30=6

add 30 to 6

3x=36

divide both sides by 3 and the 3x cancels so 36÷3

x=12

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A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide i
Vilka [71]

Answer:

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion  p = 0.60

                           q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

<u><em>Step(ii):</em></u>-

Let "X' be the random variable of binomial distribution

                              P(X=r) = n_{C_{r} } p^{r} q^{n-r}

The probability that exactly 10 insects will die

                              P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}

                           

                          n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66

                          P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385

<u><em>Final answer:</em></u>-

The probability that exactly 10 insects will die

                     P( X = 10 ) = 0.06385        

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3 years ago
Round off the number to the nearest 1000. a. 1359 = b. 8245 =​
Taya2010 [7]

Answer:

a. 1000 b. 8000

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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