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BabaBlast [244]
2 years ago
12

A survey of 123 college students was done to find out what elective courses they were taking. Let A = the set of those taking ar

t, B = the set of those taking basketweaving, and C = the set of those taking canoeing. The study revealed the following information. n(A) = 45 n(A ∩ B) = 12 n(B) = 55 n(A ∩ C) = 15 n(C) = 40 n(B ∩ C) = 23 n(A ∩ B ∩ C) = 2 How many students were not taking any of these electives?
Mathematics
1 answer:
Ilya [14]2 years ago
8 0

Answer:

31

Step-by-step explanation:

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If 1/2x = a= 2/3y and x + y= na, what is the value of n?
Fynjy0 [20]

Answer:

Step-by-step explanation:

\frac{1}{2} x=a=\frac{2}{3} y\\\frac{1}{2}x=a\\x=2a \\\frac{2}{3} y=a\\y=\frac{3}{2} a\\x+y=2a+\frac{3}{2} a=\frac{4a+3a}{2} =\frac{7}{2} a=na\\n=\frac{7}{2}

4 0
2 years ago
I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right
Nataly [62]

Answer: A. SSS

Step-by-step explanation:

The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.

7 0
4 years ago
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Solve using Substitution<br> y = -1x - 5<br> 4x - 8y = 4
Liula [17]

Answers:

Step-by-step explanations:

4 0
3 years ago
Choose the graph below that has an undefined slope.
Ronch [10]

Answer:

The correct option is A.

Step-by-step explanation:

The first line passing through the points (-6,2) and (-6,0).

The slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

The slope of first line is

m_1=\frac{0-2}{-6-(-6)}=\infty

The second line passing through the points (0,-4) and (-1,1). The slope of second line is

m_2=\frac{1-(-4)}{-1-0}=-5

The third line passing through the points (0,-6) and (2,-6). The slope of third line is

m_3=\frac{-6-(-6)}{2-0}=0

The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is


m_4=\frac{-7-6}{-3-0}=\frac{13}{3}

Since the slope of a vertical line is infinity, Therefore option A is correct.

8 0
3 years ago
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You are going to make 5 assemblies, where each assembly requires the use of 1 Type A Bolt. You have a container of bolts that co
OverLord2011 [107]

Answer:

Step-by-step explanation:

You are to make 5 assemblies.

Each assembly requires the use of 1 Type A bolt.

To make the 5 assemblies, you need 5 Type A bolts.

The container of bolts has a total of 60 bolts.

The focus - Type A bolts - is 20 out of this 60.

The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3

(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?

- The exact number of Type A bolts you need for the 5 assemblies is 5

1/3 × 5/10 =  5/30 =  1/6 =  0.167

(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:

1/3 × 4/10 = 0.133

1/3 × 3/10 = 0.1

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1/3 × 0/10 = 0

TOTAL = 0.333

7 0
3 years ago
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