1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goldenfox [79]
3 years ago
12

The probability that a student passes an examination is 2/5. If two students are picked at random from the class, what is the pr

obability that one of them will pass and the other one will fail?
Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

12/25

Step-by-step explanation:

There are four possibilities, P=Pass, F=Fail:

The chance of failing is 1-2/5 = 3/5.

PP = 2/5 * 2/5  = 4/25

PF = 2/5 * 3/5 = 6/25

FP = 3/5 * 2/5 = 6/25

FF = 3/5 * 3/5 = 9/25

(note that these chances add up to 1, as they should!)

We are interested in PF or FP, the sum of those is 6/25 + 6/25 = 12/25

So generally, when you say "AND" you multiply chances, and when you say "OR" you add them.

So (student 1 Passes AND student 2 Fails) OR (Student 1 Fails AND student 2 Passes)

You might be interested in
A linear function has a slope of 3 and crosses the y- axis at 7. What is the equation of the line?
Anarel [89]

Answer:

y=3x+7

Step-by-step explanation:

cause bla bla bla and bing bong bang thats how

6 0
3 years ago
Read 2 more answers
The equation below is a horizontal line. y = −4<br><br> true? or<br> false?
777dan777 [17]

Answer:

That is true. If you graph y=-4 it would be a horizontal line on the y axis


Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
A roof drops 6 feet for every 3 feet forword,determine the slope of the roof the slope can be positive or negative
dalvyx [7]

Answer:

The slope is -2

Step-by-step explanation:

Since the roof is decreasing in height as it goes forward, I know that the slope must be negative. The equation to find the slope is rise/run. The vertical change, or the rise, is -6 feet, so that value goes on top of the fraction. The horizontal value, or the run, is 3 feet so that goes on the bottom of the fraction.

Now our fraction is \frac{-6}{3}

If you simplify that fraction, you'll get -2.

8 0
3 years ago
The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship betwe
stellarik [79]

Answer:

Step-by-step explanation:

Givens

L = 5

w = 3

Formula

Area = L*w

Solution

Area = 3 * 5

Area = 15

Now double both the width and the Length.

New Length = 2*5 = 10

New Width = 2 * 3 = 6

Area = New Length * New Width

Area = 10 * 6

Area = 60

Answer (look at the choices)

The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A

The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B

C is the answer

D is you multiply 8 * 15, do you get 60? No so the answer is not D

8 0
2 years ago
Rico thinks of a number between 30 and 40 that is represented by
Anna007 [38]
Hello,

x,y,z∈ IN

x=\frac{3}{4}*y
y=\frac{1}{3}*z

140
46\leq\ y\ \leq\ 50 ==>\ \frac{46*3}{4}\leq\frac{3y}{4}\leq\frac{50*3}{4}
35\ \leq\ z\ \leq\ 37==>
 x∈{35,36,37}
 y∈{47,48,49}
 z∈{141,144,147}

We must go futher:

if x=35 then y=4*35/3=46.666 not good , not whole
if x=36 then y=4*36/3=48 ok
if x=37 then y=37*4/3=49.333.. not good

So there is only one solution (36,48,144) for (x,y,z)

No problem with z for z=3/1*4/3*x=4x ==>whole.









7 0
3 years ago
Other questions:
  • What is 7/8 x c for c =8
    10·2 answers
  • Which is greater 10 yards or 360 inches?
    15·1 answer
  • 20 twenty-sevens minus 1 twenty-seven
    15·1 answer
  • What does x=?........................
    5·2 answers
  • You roll two number cubes, what is the probability of rolling two 5’s?
    11·1 answer
  • In Mathopolis, an adult is a person 21 years of age or older and a child is a person under 21 years of age. Exactly half of the
    11·1 answer
  • Please help its due in a hour
    8·1 answer
  • 10.6 - 3x when x is equal to 4.5.​
    7·2 answers
  • Pls help with 19 tysm its also worth branliest ty if u help
    5·2 answers
  • Please answer fully/////////////
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!