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3 years ago

I need help!!!!

Mathematics

1 answer:

inna [77]3 years ago

3 0

Answer:

The average rate will be 2.40 dollars per kg.

Hence, option D is correct.

Step-by-step explanation:

From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.

The price of 100 kg cumin = $450

The price of 600 kg cumin = $1650

at x₁ = 100, f(x₁) = 450

at x₂ = 600, f(x₂) = 1650

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [1650 - 450] / [600-100]

= 1200 / 500

= 2.4

Therefore, the average rate will be 2.40 dollars per kg.

Hence, option D is correct.

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6 0

3 years ago

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will

Eddi Din [679]

Answer:

D. 0.821

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The combinations formula is important to solve this question:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.

At least 3 girls.

3 girls

3 girls from a set of 5 and 2 boys from a set of 3. So

$C_{5,3}*C_{3,2} = 30$

4 girls

4 girls from a set of 5 and 1 boy from a set of 3. So

$C_{5,4}*C_{3,1} = 15$

5 girls

5 girls from a set of 5

$C_{5,5} = 1$

$D = 30+15+1 = 46$

Total outcomes

5 from a set of 8. So

$T = C_{8,5} = 56$

Probability

$P = \frac{D}{T} = \frac{46}{56} = 0.821$

So the correct answer is:

D. 0.821

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3 years ago

Read 2 more answers

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y= x²+2x-3 (x-3)

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3 years ago

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sasho [114]

Answer:

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3 years ago