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Ymorist [56]
3 years ago
10

A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold w

as 69 less than the number of
psychology textbooks sold. How many textbooks of each type were sold?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

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Step-by-step explanation:

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2 years ago
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
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The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

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6 0
3 years ago
Read 2 more answers
A travelling salesman sells milkshake mixing machines and on average sells 8.9 machines per month. He needs to sell at least 3 m
Goshia [24]

Answer:

0.67% probability he will have to shut down after this month

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.

On average sells 8.9 machines per month.

So \mu = 8.9

Using the Poisson distribution, what is the probability he will have to shut down after this month

If he sells less than 3 machines.

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

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

P(X = 0) = \frac{e^{-8.9}*8.9^{0}}{(0)!} = 0.0001

P(X = 1) = \frac{e^{-8.9}*8.9^{1}}{(1)!} = 0.0012

P(X = 2) = \frac{e^{-8.9}*8.9^{2}}{(2)!} = 0.0054

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0001 + 0.0012 + 0.0054 = 0.0067

0.67% probability he will have to shut down after this month

5 0
3 years ago
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