3 years ago

(x2 + 5x - 14) = (x - 2)

Mathematics

2 answers:

Sveta_85 [38]3 years ago

8 0

Answer:

x = 2

x = -6

Afina-wow [57]3 years ago

3 0

Answer:

(x+2)(x-6) is the answer for people that need it in the grid form

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Round 6.443 to the nearest hundredth.

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Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is

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Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

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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:

Step(i):-

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

Step(ii):-

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

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

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

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

Final answer:-

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

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3 years ago