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3 years ago

CAN SOMEONE HELP ME WITH THIS PROBLEM

Mathematics

1 answer:

mestny [16]3 years ago

8 0

Hi, I believe the answer is Donna makes 0.2 revolutions per foot of distance traveled and the slope of the graph is 1/5.

To find the number of revolutions per minute you find a point on the graph where the <em>x</em> line and the <em>y</em> line match up, such as (2, 10) then you divide the amount of revolutions in ten feet by ten to find the amount in just one foot, 0.2.

To find the slope of the graph you pick two points on it such as (2, 10) and (4, 20) and subtract the first y coordinate from the second (4 - 2) and do the same with the x coordinates (20 - 10). Then you divide the difference in the y coordinates by the difference in the x coordinates to get the 2/10, then simplify to get 1/5.

Hope this is helpful and not too drawn out :)

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Answer:

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Step-by-step explanation:

Reading the options that we have for the answer, one of them (the first one) is the definition of being independent. A and B are independent if and only if P(A ∩ B)=P(A)*P(B).

So the first one IS necessary true for independent events and with this equation, option two and three are necessary true for independent events:

For definition of P(A | B)

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And we replace P(A ∩ B) using the first option that we know it´s true:

P(A | B)= P(A)*P(B) / P(B)= P(A)

So P(A | B)=P(A) it´s true for A and B independent.

The same process goes to show P(B | A)=P(B)

Because of this, the only one of the options that could not be true for independent events is P(A ∪ B)=P(A) + P(B), and this happens because P(A ∩ B)=P(A)*P(B) applies but it could be different from 0 considering P(A ∪ B)=P(A) + P(B) - P(A ∩ B). We conclude this property (P(A ∪ B)=P(A) + P(B)) is not necessary true for A and B independent.

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Using an infinite geometric series for the repeating decimal 0.551¯¯¯¯¯¯¯¯, with ratio 11000, find integers a and b so that 0.55

irga5000 [103]

Answer:

Sum = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

Step-by-step explanation:

Given

Decimal = 0.551

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By repeating the decimal, we can write;

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Hence, the infinite geometrc series is Σ(551/10³)(1/10³)^n for n = 0 to

∝

Given the ratio of 1/1000

Let r = 1/1000

r = 1/10³

a = 551/10³

The sum is defined as follows;

a/(1-r)

Sum = 551/10³ / (1 - 1/10³)

Sum = 551/1000 ÷ 999/1000

Sum = 551/999

So, a/b = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

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