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Yuri [45]
3 years ago
9

Solve for x in the equation x ^ 2 - 12x + 59 = 0

Mathematics
2 answers:
crimeas [40]3 years ago
8 0

Answer:

x = 6 ± i√23

Step-by-step explanation:

x² − 12x + 59 = 0

Use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-12) ± √((-12)² − 4(1)(59)) ] / 2(1)

x = [ 12 ± √(144 − 236) ] / 2

x = (12 ± √-92) / 2

x = (12 ± 2i√23) / 2

x = 6 ± i√23

dexar [7]3 years ago
5 0

Answer: x = 6 ± √23i

Step-by-step explanation:

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In a large population, 61 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that
muminat
In a large population, 61% of the people are vaccinated, meaning there are 39% who are not. The problem asks for the probability that out of the 4 randomly selected people, at least one of them has been vaccinated. Therefore, we need to add all the possibilities that there could be one, two, three or four randomly selected persons who were vaccinated.

For only one person, we use P(1), same reasoning should hold for other subscripts.

P(1) = (61/100)(39/100)(39/100)(39/100) = 0.03618459
P(2) = (61/100)(61/100)(39/100)(39/100) = 0.05659641
P(3) = (61/100)(61/100)(61/100)(39/100) = 0.08852259
P(4) = (61/100)(61/100)(61/100)(61/100) = 0.13845841

Adding these probabilities, we have 0.319761. Therefore the probability of at least one person has been vaccinated out of 4 persons randomly selected is 0.32 or 32%, rounded off to the nearest hundredths.
8 0
3 years ago
CAN SOMEONE PLEASE HELP ME PLEASE help
strojnjashka [21]

Answer:

I got uuuuu

Step-by-step explanation:

Here you go

11x-2=75 right and its an corresponding sooooo they equal each other so the other one is 75 also  if u want a my math lmk

3 0
3 years ago
The sun is directly overhead. The shadow of the balloon falls
Mariana [72]

The height of the ballon is 34 feet 2 inches.

To be able to solve this question, we need to understand the concept of angle of elevation.

<h3>What is the angle of elevation?</h3>

An angle of elevation is the angle formed between the horizontal plane (adjacent line) to the line of sight(elevation) from the viewer's eye to the object located in the space.

  • The diagrammatic expression for the question given can be seen in the image attached below.

From the image below, we can determine the height of the ballon by taking the tangential trigonometric function.

\mathbf{tan \theta = \dfrac{opposite}{adjacent}}

\mathbf{tan \ 67= \dfrac{x}{14 ft \ 3 in }}

Let's first convert 14 ft 6 in to ft, by doing so, we get 14.5 ft

\mathbf{tan \ 67= \dfrac{x}{14.5\ ft }}

x = tan 67 (14.5 ft)

x = 2.356(14.5 ft)

x =34.162 ft

To ft and inches, we have:

x = 34 ft 2 inches

Learn more about angles of elevation here:

brainly.com/question/25748640

5 0
3 years ago
Write an equation that represents three less than eight times a number is 17.
Alex73 [517]

Answer:

8x-3=17

Step-by-step explanation:

The term “less than” indicates that the 8x comes first in the equation because you’re taking 3 away from it

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3 years ago
Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution?
kozerog [31]
I think the answer is D.
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