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Novay_Z [31]
3 years ago
6

Guide

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
5 0

Answer:

I need help with this as well.

Step-by-step explanation:

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Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of pape
mamaluj [8]

Answer:

Not independent

Explanation:

Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.

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Miss hit travel 21120 ft how many miles did she travel
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How many solutions does 8x = 56 have?
OlgaM077 [116]
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3 0
3 years ago
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⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari
Mkey [24]
Part A:

Given that 

0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.


Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

5=2k \\  \\ \Rightarrow k=\frac{5}{2} =2.5 \\  \\ \Rightarrow y=2.5x

When x = 12, y = 2.5(12) = 30.



Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is y=-\frac{3}{2}x



Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.
8 0
3 years ago
Read 2 more answers
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