A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred faculty members and students were asked about their opinion on this issue. Find the probability that if one person is selected at random, from these 300 persons, this person is a faculty member or is in favor of this proposal.
Answers
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Answer:
0.5333
Step-by-step explanation:
We have
P(faculty) to be the probability of faculty being selected
= 70/300
= 0.233333333
We also have
P(favor) to be the probability of being in favor of this proposal
= 135/300
= 0.45
In answer to this question,
The required probability
= P(faculty) + p(favor) - p(faculty n favor)
p(faculty n favor) = 45/300
= 0.15
Probability = 0.233333333 + 0.45- 0.15
= 0.5333 approximately
Related Questions
B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.
Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000
Required:
Calculate the highest value you would pay for a highly reliable forecast.
Answers
Answer:
c
Step-by-step explanation:
I have $10 my mom gave me $30 my dad gave me $30 my aunt and uncle gave me $100 but I had another $10 so how much do I have
Answers
Answer:
$180
Step-by-step explanation:
10+30+30+100+10=180
The reason:if you add 10+30=40 then 30+10=40 then 40+40=80 last 100+80=180
Please help!! algebra
Find each value
1. ∛x³
2. 6³
3. 10³
Answers
216
1000
Hope it helps:)
A taxi company charges $2.25 for the 1st mile and then $0.20 per mile for each additional mile, or F= $2.25+ $0.20 (m-1) where F is the fare and m is the number of miles. If Juan’s taxi fare is $7.65 ,how many miles did he travel in the taxi?
Answers
Answer:
28
Step-by-step explanation:
F=2.25+0.20(m-1)
7.65=2.25+0.20(m-1)
5.4=0.20(m-1)
5.4/0.20=0.20(m-1)/0.20
27=m-1
28=m
What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8) ?
Answers
Answer:
y=1/2z-9= Perpendicular line
y=-2x-4= parrallel
Step-by-step explanation:
Answer:
y = [tex]\frac{1}{2}[/tex] (x) - 9
Step-by-step explanation:
Set the given equation to standard form: y = -2x -4
Set the slope of the given equation's slope to the reciprocal ( -2 --> 1/2).
Thus, you will have y = 1/2x + b
Insert the given information: (2, -8)
-8 = 1/2 (2) + b
Half of 2 is 1: subtract it on both sides...
-8 = 1 + b
-1 -1
-9 = b
So, the equation will be y = 1/2(x) - 9
HELPP!! ITS A LOT BUT YOU GET POINTS!
Answers
Answer:
To hard me brain go BOOM
Step-by-step explanation:
lol sorry i cant
List all sets that -1/3 belongs to.
Answers
Answer:
dfffffffff
Step-by-step explanation:
xcdsw23456iu76
-a^2b^2c^2(a+b-c) find the product
Answers
Answer:
-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3
I hope it will be useful.
Earl runs 60 meters in 40 seconds. How many meters per second does Earl run?
Answers
Earl runs 1.5 meters per second.................
A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False
Answers
Answer:
The statement provided is False.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
The statement provided is:
"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."
Thus, the statement provided is False.
4. Verify that the functions fand g are inverses of each other by showing that
f(g(x)) = x and g(f(x)) = x.
F(x)=2x-3/x+4
g(x) = 3+4x/2-x
Answers
Answer and step-by-step explanation:
We just have to apply one function in the other one. See:
→ f(g(x)):
[tex]f(x) = \dfrac{2x-3}{x+4}\\\\f(g(x)) = \dfrac{2g(x)-3}{g(x)+4} = \dfrac{2\cdot\dfrac{3+4x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{6+8x}{2-x}-3}{\dfrac{3+4x}{2-x}+4}\\\\f(g(x)) = \dfrac{\dfrac{(6+8x)-3(2-x)}{2-x}}{\,\,\,\dfrac{(3+4x)+4(2-x)}{2-x}\,\,\,}=\dfrac{(6+8x)-3(2-x)}{(3+4x)+4(2-x)}\\\\f(g(x)) =\dfrac{6+8x-6+3x}{3+4x+8-4x}=\dfrac{11x}{11}\\\\\\\boxed{f(g(x)) = x}[/tex]
→ g(f(x)):
[tex]g(x) = \dfrac{3+4x}{2-x}\\\\g(f(x)) = \dfrac{3+4f(x)}{2-f(x)} = \dfrac{3+4\dfrac{2x-3}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{3+\dfrac{8x-12}{x+4}}{2-\dfrac{2x-3}{x+4}}\\\\g(f(x)) = \dfrac{\dfrac{3(x+4)+(8x-12)}{x+4}}{\,\,\,\dfrac{2(x+4)-(2x-3)}{x+4}\,\,\,}=\dfrac{3(x+4)+(8x-12)}{2(x+4)-(2x-3)}\\\\g(f(x)) =\dfrac{3x+12+8x-12}{2x+8-2x+3}=\dfrac{11x}{11}\\\\\\\boxed{g(f(x)) = x}[/tex]
What verifies that f and g are inverses of each other.
Q.E.D.
what is the meaning of function
Answers
Answer:
A relationship or expression involving one or more variables
Step-by-step explanation:
Find 3 consecutive odd integers such that 10 times the first is 59 more than the third?
Answers
Answer: The required three consecutive odd integers are 7, 9 , 11.
Step-by-step explanation:
Let x , x+2 , x+4 be the three consecutive odd integers.
As per given ,
10(x) = 59+x+4
⇒10x= 59+x+4
⇒ 9x= 63
⇒ x= 7 [ divide both sides by 7]
Hence, the required three consecutive odd integers are 7, 9 , 11.
:∫ PLZZ help ;⊃ plz no playing around I need actual answer
Answers
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
15/10 goes down to 3/2 divide 15 by 5
21/14 goes down to 3/2 divide 21 by 7
pattern 60 52 44 36
Answers
why is earth known as diatomaceous Earth???
From biology
Answers
Answer:
Diatomaceous earth is made from the fossilized remains of tiny, aquatic organisms called diatoms. Their skeletons are made of a natural substance called silica. Over a long period of time, diatoms accumulated in the sediment of rivers, streams, lakes, and oceans. Today, silica deposits are mined from these areas.
0.3, 0.08, 0.003, 0.83
In order from smallest to largest
Answers
Answer:
0.003, 0.08, 0.3, 0.83
Add the two expressions.
3z−4 and 2z + 5
I need it asap please help!
Answers
Answer:
3(1)-4=-1 2(1)+5=7
Answer:
5z+1
Step-by-step explanation:
it was simple
50% of trick or treaters dressed up as a ghosts.
You have seen 33 ghosts. How many trick or
treaters did you see in all?
Answers
Answer:
66
Step-by-step explanation:
50% = 1/2
33 x 2 = 66
The value of 8 in 5.18 is
of the value of 8 in 5.81.
Answers
Answer: This is false.
Step-by-step explanation:
The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.
By which rule are these triangles congruent?
Answers
Answer:
sss
Step-by-step explanation:
Y=2x^3 linear or nonlinear
Answers
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)
Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions. When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answers
Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.
For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.
To tell when an equation in one variable has infinitely many solutions or no solution;
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.
The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.
Read more;
https://brainly.com/question/11966980
Write the slope intercept form of the equation of the line through the given point with the given slope
Through: (-2,1), slope = -3
Answers
Plug it in: y = -3x + b
1 = -3(-2) + b
1 = 6 + b
b = -5
Final equation: y = -3x -5
PLEASEEEE HELPPP MEEE :(
Answers
Answer:
Question 5 is B
Because after I simplified I got B and its the only one that makes sense.
Please help!
Thanks in advance.
Answers
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!
A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.
Answers
Answer:
the anser is 1046.265 because in
492.36=12hour
? =51/2hour then criscros both side 492.36*25,5/12=492.36
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answers
Answer:
She runs 6 miles in total.
We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?
Answers
Answer:
Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!
Step-by-step explanation:
32% is the probability that 3 are blue and 2 are red.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
We have a bag that contains 100 balls, 50 of them red and 50 blue.
We, Select 5 balls at random.
the probability that 3 are blue and 2 are red = 50C3*50C2/50C5
solving we get,
19600*1225/75287520
=24010000/75287520
=0.32
=32%
Hence, 32% is the probability that 3 are blue and 2 are red.
To learn more on probability click:
brainly.com/question/11234923
#SPJ2
Math problem pls help I will give brainiest
Answers
Answer:
y=5
Step-by-step explanation:
125 +125+13y+9y=360
punch it into math-way.
250+22y=360
22y= 110
y=5