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tino4ka555 [31]
3 years ago
13

X²+19x+84 pls solve this quadratic equation ​

Mathematics
2 answers:
GalinKa [24]3 years ago
6 0

Answer:

(x+12)(x+7)

Step-by-step explanation:

x^2+12x+7x+84

=x(x+12)+7(x+12)

=(x+12)(x+7)

algol [13]3 years ago
3 0

Answer:

x = - 12 , x = - 7

Step-by-step explanation:

To solve the equation , equate to zero

x² + 19x + 84 = 0

Consider the factors of the constant term (+ 84) which sum to give the coefficient of the x- term (+ 19)

The factors are + 12 and + 7 , since

12 × 7 = 84 and 12 + 7 = 19 , then

(x + 12)(x + 7) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x + 7 = 0 ⇒ x = - 7

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4 years ago
An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

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So, the probability of survive, p=1-q

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Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

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Here, r=n.

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\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

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