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Viefleur [7K]
3 years ago
13

An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800

to purchase 13 advertisements. • Define a variable for each unknown. • Write a system of equations to represent the situation and solve the system
• • • How many half-page advertisements does Michael purchase? • Show your work. •

How many full-page advertisements does Michael purchase? Show your work.
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

full page = 8

half page = 5

Step-by-step explanation:

two equations can be derived from the question

40x + 75y = 800 equation 1

x + y = 13 equation 2

x = number of half page advertisement

y = number of full page advertisement

multiply equation 2 by 40

40x + 40y = 520 equation 3

subtract equation 3 from 2

280 = 35y

y = 8

substitute for y in equation 2

x + 8 = 13

x = 13 - 8

x = 5

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Answer:

(1) A Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3) A Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

Step-by-step explanation:

Consider a random variable <em>X</em> following a Binomial distribution with parameters <em>n </em>and <em>p</em>.

If the sample selected is too large and the probability of success is close to 0.50 a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

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The three populations has the following proportions:

p₁ = 0.10

p₂ = 0.30

p₃ = 0.50

(1)

Check the Normal approximation conditions for population 1, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.10=1

Thus, a Normal approximation to binomial can be applied for population 1, if <em>n</em> = 100.

(2)

Check the Normal approximation conditions for population 2, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.30=310\\\\n_{c}p_{1}=50\times 0.30=15>10\\\\n_{d}p_{1}=40\times 0.10=12>10\\\\n_{e}p_{1}=20\times 0.10=6

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50 and 40.

(3)

Check the Normal approximation conditions for population 3, for all the provided <em>n</em> as follows:

n_{a}p_{1}=10\times 0.50=510\\\\n_{c}p_{1}=50\times 0.50=25>10\\\\n_{d}p_{1}=40\times 0.50=20>10\\\\n_{e}p_{1}=20\times 0.10=10=10

Thus, a Normal approximation to binomial can be applied for population 2, if <em>n</em> = 100, 50, 40 and 20.

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what types of problems can be solved using the greatest common factor what types of problems can be solved using the last common
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Answer:

The greatest common factor is the biggest factor that divides two different numbers. For example, the greatest common factor of 6 and 8 is 2. The least common multiple is the smallest number that two numbers share as a multiple. For example, 12 is a the lowest common multiple of 3 and 4.

Step-by-step explanation:

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Hence,

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Keywords: Rectangle, Area

Learn more about rectangle at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

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