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4 years ago

HARDEST QUESTION IN THE WORLD

Mathematics

2 answers:

Serggg [28]4 years ago

8 0

I believe it is the first 1

balandron [24]4 years ago

5 0

To find the scale factor, we need to make proportion of the side by this following formula. s represents the scale factor
the new measurement = s × the original measurement

Use one of the sides to find the scale factor. I use the side CE, therefore the new side is C'E'. The measurement of CE is 2 units, and the measurement of C'E' is 4 units.
C'E' = s × CE
4 = s × 2
4 = 2s
2s = 4
s = $\frac{4}{2}$
s = 2

The scale factor is 2
Because the new triangle C'D'E' is larger than the original one CDE, the triangles is enlarged.

The correct answer is option A

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Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean

ExtremeBDS [4]

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that $\mu = 6$

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

$P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606$

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

8 0

3 years ago

Office equipment was purchased for $20,000 and is assumed to have a scrap value of $2,000 after 10 years. If its value is deprec

boyakko [2]

According to the information given in the exercise:

- The office equipment was purchased for $20,000.

- The scrap value is assumed to be $2,000 after 10 years.

- -It's depreciated linearly from $20,000 to $2,000.

(a) The Slope-Intercept Form of the equation of a line is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Let be "V" the value (in dollars) and "t" the time (in years).

Analyzing the information given in the exercise, you can set up that the equation will have this form:

$V=mt+b$

Where "m" is the slope and "b" is the y-intercept.

Notice that you have these two points:

$\begin{gathered} (0,20000) \\ (10,2000) \end{gathered}$

Then, you can apply the formula for calculating the slope:

$m=\frac{y_2-y_1}{x_2-x_1_{}}$

You can say that:

$\begin{gathered} y_2=2000 \\ y_1=20000 \\ x_2=10 \\ x_1=0 \end{gathered}$

Substituting and evaluating, you get:

$m=\frac{2000-20000}{10-0}=\frac{-18000}{10}=-1800$

To find "b", you need to remember that the value of "x" is zero when the line intersects the y-axis. Therefore, knowing that one of the points is:

$(0,20000)$

You can determine that:

$b=20000$

Hence, the equation is:

$V=-1800t+20000$

(b) To find the value of the equipment after 6 years, you need to set up that:

$t=6$

Then, substituting this value into the equation and evaluating, you get:

$\begin{gathered} V=-1800(6)+20000 \\ V=9200 \end{gathered}$

Therefore, the answers are:

(a)

$V=-1800t+20000$

(b) $9,200

6 0

2 years ago

There are 19 figure skaters in the Olympic women's competition, including 3 Americans. The gold medal goes to first place, silve

muminat

There are three different choices for the American.

There are 16 different choices for the first non-American and 15 different choices for the other non-American.

So, there are 3 x 16 x 15 different groups.

But, order is important -- who gets the gold, who gets the silver, and who gets the bronze -- there are 6 different ways to arrange the 3 winners (3! = 6).

Thus, there are 6 x 3 x 16 x 15 different results.

8 0

3 years ago

Is 2(x+3)=5x+6-3x always true or never true?

egoroff_w [7]

Answer:

always true

Step-by-step explanation:

Distribute the left side

2(x + 3) = 2x + 6

Simplify the right side

5x + 6 - 3x ← collect like terms

= 2x + 6

Thus

left side = right side , so always true

8 0

3 years ago

Expand the expression using the distributive property: 6(4x + 5y + 2)

Oksanka [162]

Answer:

24 x + 30 y + 12

Step-by-step explanation:

this is simplified

5 0

3 years ago