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3 years ago

How do you solve this equation√8k=k

Mathematics

1 answer:

kondor19780726 [428]3 years ago

8 0

the answer is

<span>[√8k ]² =k², so 8k=k² which implies k² - 8k= 0, and (k – 8)k= 0, so k = 8 or k =0</span>

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In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of

TiliK225 [7]

Answer:

The probability that you win at least $1 both times is 0.25 = 25%.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of winning at least $1 on a single game:

The die has 6 sides.

If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So

$p = \frac{1}{2} = 0.5$

You are going to play the game twice.

This means that $n = 2$

The probability that you win at least $1 both times is

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25$

The probability that you win at least $1 both times is 0.25 = 25%.

4 0

3 years ago

A recent trend in advertising is viral marketing. The goal is to convince viewers to share an amusing advertisement by e-mail or

77julia77 [94]

I'm not sure what you are looking for but I'll answer this question based on what I think is needed.

Given:
Day 1: 130
Day 2: 130 x 4 = 520
Day 3: 520 x 4 = 2,080

The exponential equation of this problem is:
V(n) = 130(4)^n

Where n is the number of days since the video was first shown.

Let us assume that 10 days have past. Total view would be:

V(n) = 130(4)^n

V(10) = 130(4)^10
V(10) = 130(1,048,576)
V(10) = 136,314,880

After 10 days, there are more than 136 Million views of the viral video.

5 0

3 years ago

Factor:<br> 4x^2+4xy−288y^2

Sonja [21]

$4x^2+4xy-288y^2=\\
4(x^2+xy-72y)=\\
4(x^2+9xy-8xy-72y)=\\
4(x(x+9y)-8y(x+9y))=\\
4(x-8y)(x+9y)$

7 0

3 years ago

Solve each division problem and classify it based on its quotient

Mazyrski [523]

Answer:

1. 6

2. 9

3. 9

4. 6

5. 9

6. 6

Step-by-step explanation:

The answers are in the order listed on your assignment page.

Hope this helps :)

8 0

2 years ago

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Why

faust18 [17]

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = $\frac{y2 - y1}{x2 - x1}$

Substitution

slope = $\frac{4 - 2}{-1 - 4}$

Simplification and result

slope = $\frac{-2}{5}$

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

4 0

3 years ago