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2 years ago

6.

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

3 0

The time it would take to paint one figurine is 0.125 hour.

The time it would take to paint 8 figurine is 1.5 hours.

The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.

Average rate = 8 /1 = 8 figurines / hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.

1 / 8 = 0.125 hour

In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.

12 / 8 = 1.5 hours

A similar question was answered here: brainly.com/question/11967364

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IHELP if 1 out of 5 animals are cats then how many cats are there in an ecosystem of 200 animals???

mote1985 [20]

There are 40 cats in the ecosystem.

You set 1/5 equal to x/200. Then you cross multiply the fractions to get 5x=200. You divide both terms by 5 to get x, which equals 40.

3 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

2 years ago

Read 2 more answers

Write the equation in logarithmic form 8^x=64

Alona [7]

Step-by-step explanation:

8^x= 64

8²= 64

In logarithmic form,

log(base 8) 64= 2

8 0

2 years ago

Need help finding answer

Tresset [83]

Answer:

x=5

Explanation:

Begin to isolate x by adding 12 on both sides of the equation

5x=2x+15

Subtract

2x on both sides of the equation

3x=15

Isolate x by dividing both sides of the equation by

3x=5

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2 years ago

Which is the best estimate for the quotient of 404.31 devided by 48.031 ? A. 8,000 B. 800 C. 80 D. 8 Help me plz

Novay_Z [31]

D. is correct hope it helps

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3 years ago

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