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3 years ago

The three angles in a triangle have measures x, 3x, and 5x. Solve for x

Mathematics

1 answer:

sergejj [24]3 years ago

3 0

Three angles of the triangle:

$3x \\ 5x \\ x$

___________________________________________

3x + 5x + x = 180

9x = 180

x = 180/9

x = 20

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Mitchel is part of the track team at his high school. He ran the first 4 kilometers of a race in 30 minutes. How many kilometers

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Answer:

8 kilometers in one hour

Step-by-step explanation:

4:30/4

30 $divided$ by 4

7.5

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since there are 60 minutes in a hour

60/7.5 = 8

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2 years ago

Evaluate the expression 3⋅f(−4)−3⋅g(−2)

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Step-by-step explanation:

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3 years ago

The monthly worldwide average number of airplane crashes of commercial airlines is 3.5. What is the probabil- ity that there wil

Levart [38]

Answer:

Step-by-step explanation:

We would apply the formula for poisson distribution which is expressed as

P(x = r) = (e^- µ × µ^r)/r!

Where

µ represents the mean of the theoretical distribution.

r represents the number of successes of the event.

From the information given,

µ = 3.5

For the probability that there will be at least 2 such accidents in the next month, it is expressed as

P(x ≥ 2) = 1 - P(x < 2)

P(x < 2) = P(x = 0) + P(x = 1)

Therefore,

P(x = 0) = (e^- 3.5 × 3.5^0)/0!

P(x = 0) = (e^- 3.5 × 1)/1

P(x = 0) = 0.03

P(x = 1) = (e^- 3.5 × 3.5^1)/1!

P(x = 1) = (e^- 3.5 × 3.5)/1

P(x = 1) = 0.11

P(x < 2) = P(x = 0) + P(x = 1) = 0.03 + 0.11 = 0.14

P(x ≥ 2) = 1 - 0.14 = 0.86

For the probability that there will be at most 1 accident in the next month, it is expressed as

P(x ≤ 1) = P(x = 0) + P(x = 1)

P(x = 0) = 0.03

P(x = 1) = 0.11

P(x ≤ 1) = 0.03 + 0.11 = 0.14

3 0

3 years ago

A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?

Svetlanka [38]

Let the number of pants have to be made be x.

So,

9.55 * x = 525.00

x = $\frac{525}{9.55}$ ≈ 54.97

Thus, the number of pants have to be made are 54.

8 0

3 years ago

Find the tenth term of the geometric sequence, given the first term and common ratio.

Natalija [7]

Answer:

$a_{10}=\dfrac{1}{128}$

Step-by-step explanation:

In the geometric series:

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The nth term of the geometric sequence can be calculated using formula

$a_n=a_1\cdot r^{n-1}$

In your case, n = 10, then

$a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}$

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3 years ago