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zloy xaker [14]
3 years ago
7

Solve the nonlinear system of equations

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

  There are no real solutions. The complex solutions are ...

  (x, y) = (2.5-i√1.75, -2.5+i√1.75)  or  (2.5+i1.75, -2.5-i1.75)

Step-by-step explanation:

Subtract the first equation from the second.

  y -y = (x^2 -6x +8) -(-x)

  0 = x^2 -5x +8

Rewrite to facilitate completing the square:

  x^2 -5x = -8

  x^2 -5x +6.25 = -1.75 . . . . . add 6.25 to complete the square

  (x -2.5)^2 = -1.75 . . . . . write as a square

  x -2.5 = ±i√1.75 . . . . . . take the square root

  x = 2.5 ± i√1.75 . . . . . . add 2.5; y is the opposite of this

Solutions are ...

  • x = 2.5 +i√1.75, y = -2.5 -i√1.75
  • x = 2.5 -i√1.75, y = -2.5 +i√1.75

_____

The graph shows the equations have no point of intersection, meaning there are no real solutions. The complex solutions are shown above.

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Answer:

a = 15

Step-by-step explanation:

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A quadrilateral has angles that measure 87°, 69°, and 104°. What is the measure of the fourth angle? A. 50° B. 80° C. 100° D. 12
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C. 100 because a quadrilateral must add up to 360. :)
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A simple die is thrown 100 times and the number five appears 14 times. Find the experimental probability of throwing a five, giv
mario62 [17]

Answer:

The experimental probability of throwing a five is 0.087.

Step-by-step explanation:

Given:

Number of trials (n) = 100

Number of times 5 appears (x) = 14

Let the event of occurrence of 5 be success and the probability represented by 'p'. So, all the other numbers occurrence is failure and its probability is represented as 'q'.

Probability of success is given as:

p=\frac{Number\ of\ favorable\ events}{Total\ number\ of\ outcomes}

Favorable event is occurrence of 5. So, its number is 1 as there is only one 5 in the die. Total outcomes are 6 as there are six numbers. So,

p=\frac{1}{6}

Now, probability of failure is given by the formula:

q=1-p=1-\frac{1}{6}=\frac{5}{6}

Now in order to find the experimental probability of 14 successes out of 100 trials, we apply Bernoulli's theorem which is given as:

P(x) = ^nC_xp^xq^{n-x}

Plug in all the given values and find the probability of 14 successes. This gives,

P(x=14)=^{100}C_{14}(\frac{1}{6})^{14}(\frac{5}{6})^{100-14}\\\\P(x=14)=0.087

Therefore, the experimental probability of throwing a five is 0.087.

8 0
3 years ago
Given the Function:
sergey [27]
F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)
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3 years ago
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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.
kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = \frac{38}{60} = 0.634

Therefore, the probability is given by:

P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]

P(p\leq 0.634) = P[z\leq -1.87188]

P(p\leq 0.634) = P[z\leq -1.87] = 0.0298

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0
3 years ago
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