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Sholpan [36]
3 years ago
7

A researcher randomly surveyed 122 college professors to determine what types of courses they teach and their sleeping habits. T

he two-way table displays the data.
Suppose a survey respondent is randomly selected. Let M = professor teaches math and B = professor is an early bird. What is the value of P(B|M)?

a) 17/63
b) 16/59
c) 16/33
d) 21/34

Mathematics
2 answers:
pav-90 [236]3 years ago
5 0

Answer:

C 16/33

Step-by-step explanation:

wolverine [178]3 years ago
5 0

Answer:

C.

Step-by-step explanation:

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Having trouble with this one can someone teach me how to find the slope in this question. Try to help me learn it aswell. Its in
ASHA 777 [7]
Hi there! The answer is -2.

We can find the slope of a formula by using the following formula:

slope = \frac{change \: of \: y}{change \: of \: x} =\frac{y2 - y1}{x2 - x1}
x2 and y2 don't mean squared, but the x and y coordinate of our second point.

First we need to find two points on the line. Ijn this particular case we have (-3, 3) and (1, -5). Now we can fill in the formula.

slope = \frac{ - 5 - 3}{1 - - 3} = \frac{ - 8}{4} = - 2

Therefore, the third answer is correct.
~ Hope this helps you!
7 0
3 years ago
I need help with this word problem it’s urgent please help.
harkovskaia [24]

Starting with some solution of volume <em>v</em> and an alcohol concentration of 100<em>c </em>% , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + <em>v</em>.

Each mL of the starting solution contains <em>c</em> mL of alcohol. For example, if the concentration of the starting solution is 80% (so <em>c</em> = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.

Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.

You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning

<em>cv</em> + 0.45 (180 mL) = 0.7 (180 mL + <em>v</em>)

and you want to solve for <em>v</em> :

<em>cv</em> + 81 mL = 126 mL + 0.7<em>v</em>

<em>cv</em> - 0.7<em>v</em> = 126 mL - 81 mL

(<em>c</em> - 0.7) <em>v</em> = 45 mL

<em>v</em> = (45 mL) / (<em>c</em> - 0.7)

Judging by context clues, <em>c</em> lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)

If, for example, <em>c</em> = 0.8, so that your starting solution is at 80% concentration, then you would need

<em>v</em> = (45 mL) / (0.8 - 0.7) = 450 mL

to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.

As another example, if you're mixing pure alcohol, so that <em>c</em> = 1, you would need

<em>v</em> = (45 mL) / (1 - 0.7) = 150 mL

to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.

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kondor19780726 [428]
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dem82 [27]

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