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kifflom [539]
2 years ago
11

Find the measure of each angle.

Mathematics
1 answer:
Marrrta [24]2 years ago
5 0
90= 3x + 2x
90= 5x
x= 18
one measure = 3(18)= 54
the other one= 2(18)= 36
hope this helps!
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Averigua: Cuantos habitantes tiene tu localidad y cuantos tu provincia Calcula A qué porcentaje de la población del Ecuador con
Diano4ka-milaya [45]

Answer:

La Provincia del Guayas comprime el 25.1% de la población de Ecuador. A su vez, la Ciudad de Guayaquil tiene una población igual al 15.58% de la población ecuatoriana.

Step-by-step explanation:

Dado que vivo en la Provincia del Guayas, y en la ciudad de Guayaquil, los datos de población solicitados son los siguientes:

-Provincia del Guayas: 4.387.434 habitantes, es decir, un 25.1% del total de la población de Ecuador, que es de 17.475.570 habitantes, conforme surge del siguiente calculo:

17.475.570 = 100

4.387.434 = X

4.387.434 x 100 / 17.475.570 = X

438.743.400 / 17.475.570 = X

25,10 = X

-Ciudad de Guayaquil: 2.723.665 habitantes, es decir, un 15.58% del total de la población de Ecuador, conforme surge del siguiente cálculo:

17.475.570 = 100

2.723.665 = X

2.723.665 x 100 / 17.475.570 = X

272.366.500 / 17.475.570 = X

15.58 = X

7 0
3 years ago
A basketball with a radius of 24.1 cm rolls 8.0m in 11 seconds. what is the angular frequency of the ball?
Dominik [7]
The formula for angular frequency is:

ω = velocity/radius

Since we are given distance(8.0m) and time(11 seconds) , we can also express the formula as:

ω = distance/(radius)(time)

Substituting the given values:

8.0m/(0.241m)(11s)

Which would give us the answer of 3.03 seconds.

Hope this answer helps.
8 0
3 years ago
The city has an average of 13 days of rainfall for April.
zhenek [66]

Using the Poisson distribution, we have that:

  • There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.
  • There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.
  • There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

<h3>What is the Poisson distribution?</h3>

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

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

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

For this problem, the mean is given as follows:

\mu = 13

The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:

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

P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.

The probability of having less than three days of precipitation in the month of April is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

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

P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0

P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003

P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022

There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.

For more than 15 days, the probability is:

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)

Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:

There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

6 0
2 years ago
50 points! Which expressions are equivalent to (see image)? Select three
Vesna [10]

Answer:

Option 4

Step-by-step explanation:

5( \frac{1}{3} x + 7) - 3( \frac{1}{2} x - 4)

\frac{5}{3} x + 35 -  \frac{3}{2} x + 12

\frac{5}{3} x -  \frac{3}{2} x + 35 + 12

2 \times 5x - 3 \times 3x \div 3 \times 2 + 47

\frac{10x - 9x}{6}  + 47

\frac{x}{6}  + 47

4 0
2 years ago
Read 2 more answers
Multiply the radical expression:<br> 6 3.2 4
aliina [53]

Answer:

answer is 24_/3.

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3 0
3 years ago
Read 2 more answers
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