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Stells [14]
3 years ago
6

At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose that 26% of courses have a res

earch paper and a final exam.
Part (a)

Find the probability that a course has a final exam or a research paper.


Part (b)

Find the probability that a course has neither of these two requirements.
Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

.9 or 90%

.1 or 10%

Step-by-step explanation:

E= Exam

P=Paper

E= .71

P= .45

E∩P=.26

A.) E∪P=?

E∪P= E+P-E∩P

.71+.45-.26= .9

B.) E'∩P' = (E∪P)'

(E∪P)' = 1-.9 = .1

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Sam has $440 in $20, $10, and $5 dollar bills. The number of twenties, tens and fives are consecutive integers in this order. Ho
Ludmilka [50]

Answer: There are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

Step-by-step explanation:

Let the number of twenties be x

Let the number of tens be x+1

Let the number of fives be x+2

Amount from twenties will be given as

20\times x=20x

Amount from tens will be given as

10\times (x+1)=10x+10

Amount from fives will be given as

5\times (x+2)=5x+10

According to question,

20x+10x+10+5x+10=440\\\\35x+20=440\\\\35x=440-20\\\\35x=420\\\\x=\frac{420}{35}\\\\x=12

So, there are 12 bills for $20, 13 bills for $10 and 14 bills for $5.

6 0
4 years ago
NEED HELP ASAP 2 questions WORTH 50
ch4aika [34]

Answer:

The first question tan(24) = x/12 because tan(x) = opposite/adjacent

so x in radians ≈ -25.618....

x in degrees ≈ 5.342....

For the second question tan(72) = x/20

x in radians ≈ -5.248....

x in degrees ≈ 61.553....

3 0
3 years ago
Read 2 more answers
F(x)=3x-6<br> how do I figure this out
vitfil [10]
F(x) = 3x-6
add 6 to each side
6=3x
dived each side by 3
2=x
3 0
4 years ago
Read 2 more answers
What is the midpoint of RS with endpoints R (-8, 3) and S (9, – 7)?
lubasha [3.4K]

Answer:

Midpoint coordinates are (x,y) = (\frac{1}{2} , -2)

Step-by-step explanation:

The Coordinates of R = (-8,3)

The Coordinates of S = (9, -7)

Let M be the mid point of M and its coordinates by (x,y)

Now, by mid point formula,

(x,y) = (\frac{x_1  + x_2}{2} ,\frac{y_1 + y_2}{2} )

⇒(x,y) = (\frac{1}{2} ,\frac{-4}{2} ) = (\frac{1}{2} , -2)

So, the midpoint coordinates are (x,y) = (\frac{1}{2} , -2)

8 0
3 years ago
Is 3/4 equivalent to 12/15
Readme [11.4K]
For this, you have to reduce the larger fraction, which is 12/15
After reduction, it would be: 4/5 which is not equivalent to 3/4

4/5 ≠ 3/4

So, your final answer is "NO", it's not equivalent 

Hope this helps!
5 0
4 years ago
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