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sesenic [268]
2 years ago
15

Jim has 44 nickels and dimes. The total amount of money is $2.95. How many nickels does he have?​

Mathematics
1 answer:
liraira [26]2 years ago
4 0
21 nickels and 16 dimes
proof:
37-21=16
21 x 0.5 = 1.05
16 x .10 = 1.6
1.05 + 1.6 = 2.65
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A website manager has noticed that during the evening​ hours, about 5 people per minute check out from their shopping cart and m
Over [174]

Answer:

a) Poisson distribution

b) 99.33% probability that in any one minute at least one purchase is​ made

c) 0.05% probability that seven people make a purchase in the next four ​minutes

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.

5 people per minute check out from their shopping cart and make an online purchase.

This means that \mu = 5

a) What model might you suggest to model the number of purchases per​ minute? ​

The only information that we have is the mean number of an event(purchases) in a time interval. Each event is also independent fro each other. So you should suggest the Poisson distribution to model the number of purchases per​ minute.

b) What is the probability that in any one minute at least one purchase is​ made? ​

Either no purchases are made, or at least one is. The sum of the probabilities of these events is 1. So

P(X = 0) + P(X \geq 1) = 1

We want to find P(X \geq 1)

So

P(X \geq 1) = 1 - P(X = 0)

In which

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

P(X = 0) = \frac{e^{-5}*(5)^{0}}{(0)!} = 0.0067

1 - 0.0067 = 0.9933.

99.33% probability that in any one minute at least one purchase is​ made

c) What is the probability that seven people make a purchase in the next four ​minutes?

The mean is 5 purchases in a minute. So, for 4 minutes

\mu = 4*5 = 20

We have to find P(X = 7).

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

P(X = 0) = \frac{e^{-20}*(20)^{7}}{(7)!} = 0.0005

0.05% probability that seven people make a purchase in the next four ​minutes

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3 years ago
Please help me<br> How many solutions does the equation<br> 1-(6x - 4) = 3(1 – x) have?
AnnZ [28]

Answer: one solution

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3 years ago
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Please help it due really soon...thx
Mama L [17]

Answer:

what is klm

Step-by-step explanation:

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3 years ago
2k+10 show all the steps
12345 [234]

Hello!

Explanation:

↓↓↓↓↓↓↓↓↓↓

First, rewrite 10 as 2*5

2k+2*5

Then, factor out common term 2.

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<em><u>Answer⇒⇒⇒⇒2(k+5)</u></em>

Hope this helps!

Thank you for posting your question at here on Brainly.

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What is 32.7 times 10
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The answer is 327. Remember that when you multiply a number by ten, you move the decimal point to the right one place.
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