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3 years ago

What is the slope of the line containing the points (5,4) and (5,-3)?

1 answer:

3 0

We find the slope by subtracting the y-coordinates over the x-coordinates to get: (4-(-3))/(5-5) = 7/0, which is, by definition undefined. The slope of this line is undefined, but these two points do make a vertical line.
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Hope this helps!

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A college sends a survey to members of the class of 2012. Of the 1254 people who graduated that year, 672 are women, of whom 124

Svetllana [295]

Answer:

a) $P(F) = \frac{672}{1254}=\frac{112}{209}=0.536$

b) $P(M) = \frac{582}{1254}= \frac{97}{209}=0.464$

c) $P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815$

Step-by-step explanation:

For this case we have a total of 1254 people. 672 are women and 582 are female.

We know that 124 women wnat on to graduate school.

And 198 male want on to graduate school

We can define the following events:

F = The alumnus selected is female

M= The alumnus selected is male

A= Female and attend graduate school

And we can find the probabilities required using the empirical definition of probability like this:

Part a

$P(F) = \frac{672}{1254}=\frac{112}{209}=0.536$

Part b

$P(M) = \frac{582}{1254}= \frac{97}{209}=0.464$

Part c

For this case we find the probability for the event A: The student selected is female and did attend graduate school

$P(A) =\frac{124}{672}=\frac{31}{168}=0.185$

And using the complement rule we find P(A') representing the probability that the female selected did not attend graduate school like this:

$P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815$

4 0

4 years ago

18x - 432 - 18x - 6x² +144

ArbitrLikvidat [17]

Answer:

-6x^2-288

Step-by-step explanation:

18x - 432 - 18x - 6x² +144

Combine like terms

-6x^2+18x-18x-432+144

-6x^2-288

7 0

3 years ago

Help me pls y=(1+x)m

muminat

What is it that we need to find?

7 0

4 years ago

Are 8 and 8x like terms

Elis [28]

Answer:

Step-by-step explanation:

They are not like terms because 8 is a constant while 8x is an unknown

6 0

3 years ago

Read 2 more answers

The rectangle below has a total perimeter of 125 cm:

Jlenok [28]

A rectangle has four sides, two equal to the width and two equal to the length. So, the perimeter is

$p = 2w+2l$

If we know that the width is 5, and the perimeter is 125, we have

$125 = 2\cdot 5 + 2l \iff 125 = 10+2l$

In your case, the unkown is called x, but the concept is the same:

$2x+10 = 125$

where x is the length of the rectangle.

6 0

3 years ago