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Nookie1986 [14]

3 years ago

5

What are some relationships between sets of numbers??????

1 answer:

Olin [163]3 years ago

4 0

Some sets of numbers are rational and irrational numbers.
Rational numbers are numbers you can make by dividing one integer by another.
Irrational numbers are numbers that can be written as a simple fraction.

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Please help thank you

Gemiola [76]

Question 1:

This is a 45-45-90 right triangle. If the leg length is $x$ , then the hypotenuse length will be $x \sqrt{2}$ .

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get $8 \sqrt{2}$ . Thus, the last choice is your answer.

Question 2:

This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of $x$ .
Then, the longer leg will have a length of $x \sqrt{3}$ .
Also, the hypotenuse will have a length of $2x$

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.

Hope this helps! :)

5 0

3 years ago

What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1

Elodia [21]

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

5 0

2 years ago

Read 2 more answers

Idek how to explain this but please help me

Leno4ka [110]

Answer:

Put 4 in the place of x then you'll get

$\frac{10}{22}$

3 0

3 years ago

Read 2 more answers

Cathy drank 600 mL of water at school and another 400 mL at home. How many liters of water did Cathy drink?

liraira [26]

Cathy drank 1,000 ml of water which means she drank 1 liter.

8 0

3 years ago

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

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 time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

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

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

3 years ago

Read 2 more answers