Given:
Total number of student = 40
Students who like Computer Science (group A) = 40
Students who like Philosophy (group B) = 30
Students who like both (group A∩B) = 20
To find:
If a student chosen randomly likes Computer Science, what is the probability that they also like Philosophy?
Solution:
Let the following events,
A: Student like Computer Science
B: Student like Philosophy
Now,
[tex]P(A)=\dfrac{40}{100}=0.4[/tex]
[tex]P(B)=\dfrac{30}{100}=0.3[/tex]
[tex]P(A\cap B)=\dfrac{20}{100}=0.2[/tex]
We need to find the probability that the student like Philosophy if it is given that he likes Computer science, i.e, [tex]P(\dfrac{B}{A})[/tex].
Using conditional probability, we get
[tex]P(\dfrac{B}{A})=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{0.2}{0.4}[/tex]
[tex]P(\dfrac{B}{A})=\dfrac{1}{2}[/tex]
[tex]P(\dfrac{B}{A})=0.5[/tex]
Therefore, the required probability is 0.5.
13 more than x times 5 as an expression
Answer: I believe it's 13 > 5x or 5x+13. . But I'm not completely sure.
Negative ten is no less than two times a number plus fourteen
can you please solve it
Answer:
-12≥x
Step-by-step explanation:
-10≥2x+14
-24≥2x
-12≥x
help me please i need help
Answer: yes they are equivalent
Step-by-step explanation: When you distribute both equations, you end up with 5m-10.
What is the answer to -12 = 4(f-6)
Answer:
Step-by-step explanation:
-12 = 4(-6 + f)
-12 = (-6 * 4 + f * 4)
-12 = (-24 + 4f)
-12 = -24 + 4f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-4f' to each side of the equation.
-12 + -4f = -24 + 4f + -4f
Combine like terms: 4f + -4f = 0
-12 + -4f = -24 + 0
-12 + -4f = -24
Add '12' to each side of the equation.
-12 + 12 + -4f = -24 + 12
Combine like terms: -12 + 12 = 0
0 + -4f = -24 + 12
-4f = -24 + 12
Combine like terms: -24 + 12 = -12
-4f = -12
Divide each side by '-4'.
f = 3
Simplifying
f = 3
Hope helps you
i need help ASAP please and thanks
What are the coordinates of point A?
Notes: Factorial function (symbols: !) says to multiply all whole numbers from our chosen number down to 1
Answer:
ggg if fdrsyviinoiv fcvui I tzhvii u u y
Which expression can be used to find 25 percent of 88?
Answer:
25 percent of 88 is 25/100* 88 = 22
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER!
You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?
Please help work needs to be shown please help yall
Answer:
Sorry to say but I don't see any material.
Step-by-step explanation:
Factor by grouping
2xy + 4x + 3y + 6
Answer:
15xy
Step-by-step explanation:
i need help on this question someone pls help
Answer:
3.2
Step-by-step explanation:
There are four activities on the critical path. Coincidentally, their standard deviations are all equal to 4. The standard deviation of the critical path is therefore equal to:
Answer:
the standard deviation of the critical path is 8
Step-by-step explanation:
The computation of the standard deviation of the critical path is shown below:
As we know that
Variance = Standard deviation^2
Now the variance of the critical path is
= Variance 1 + variance 2 + variance 3 + variance 4
= 4^2 + 4^2 + 4^2 + 4^2
= 64
Now the standard deviation would be
= √64
= 8
hence, the standard deviation of the critical path is 8
plz help thank you thank you
Answer:
B
Only one that goes over once and up twice
Answer:
b is the answer I believe
What type of angle is a 31° angle?
A acute angle
obtuse angle
C right angle
Answer:
an acute an angle
Step-by-step explanation:
the angel of 31 is smaller than 90 so that would make it an acute angle
A 31° angle is an acute angle because it measures less than 90 degrees.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
We know that a right angle is always equal to 90 degrees.
Any angle less than 90 degrees is an acute angle
Any angle greater than 90 degrees is an obtuse angle.
A 31° angle is an acute angle because it measures less than 90 degrees. An acute angle is any angle that measures between 0 and 90 degrees.
Hence, A 31° angle is an acute angle because it measures less than 90 degrees.
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Right triangle PQR is shown on the graph below. If the point (x, 7) lies on the line that goes through side of the trianglethen what should be the value of x?
A. -2
B. 5
C. -3
D. 3
Answer:
C. -3
Step-by-step explanation:
First, find the slope of side QR. Calculate the slope by finding the ratio of the difference between the y-coordinates and the difference between the x-coordinates of points Q and R.
The slope of side QR can be found as shown below.
Now, using the slope of side QR, draw a triangle RST similar to the right triangle PQR with S(x, 7) as one vertex.
Next, find the value of x as shown below.
Therefore, the value of x in the point (x, 7) is -3.
7th Grade Math | I NEED HELP
Xander and Pedro are at an ice cream social. For every scoop of ice cream, Xander uses /8 eighth cup of fruit topping. Pedro uses one more tablespoon of fruit topping than the number of scoops. If Xander and Pedro each use the same amount of fruit topping, how many scoops of ice cream does each use?
9514 1404 393
Answer:
1 scoop
Explanation:
There are 16 tablespoons in 1 cup, so Xander uses (1/8)·(16 tbsp) = 2 tbsp of topping for each scoop of ice cream.
For 1 scoop of ice cream, Pedro will use 1+1 = 2 tbsp of topping.
Hence, both use the same amount of topping (2 tbsp) for 1 scoop of ice cream.
18/6 as a whole number?
The answer is 3
Explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. 3
Answer:
its 3
Step-by-step explanation:
Proportional graphs can be straight or curved. .
O True
O False
A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project
Answer:
The expected completion time of the project is:
10 days.
Step-by-step explanation:
Duration of Task A = 5 days
Task B and C depend on Task A
This implies that Task A must be completed before Task B and C can be started.
To complete Task B will take 5 days
To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)
Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B &C are mutually dependent
What is the expected completion time of a task?Expected completion time of a task= p1x1 + p2x2
Where
p1 & p2 are probabilities.
x1 and x2 are samples.
p1=p2=0.5
x1=7
x2=3
Expected completion time of task C= 0.5*7+0.5*3 = 5 days
Task B and C will be due till task A is not accomplished.
Total time to accomplish task A = 5 days
Total time to accomplish task B= 5 days
Expected time to accomplish task C = 5 days
If tasks B and C are mutually independent
expected time to complete the project = 5+5=10days
If task C depends on task B
Expected time to complete the project = 5+5+5 = 15 days.
Therefore
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B and C are mutually dependent
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Find the value of x in the parallelogram below.
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129
F(x)=(x-2)(x-6) Find the x-intercepts
what fraction is equivalent to 1.5/9
Answer:
1.5/9 = 1 1/2 / 9 = 3/2 /9 = 3/18 = 1/6
Step-by-step explanation:
The fraction that is equivalent to 1.5 / 9 is expressed as:
3/18.
How to Find the Equivalent Fraction?Equivalent fractions are different fractions that represent the same value or proportion, although they may have different numerators and denominators.
To find an equivalent fraction for 1.5/9, divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 0.5.
Dividing 1.5 by 0.5 and 9 by 0.5, we will have the following:
(1.5 ÷ 0.5) / (9 ÷ 0.5) = 3/18
Hence, the equivalent fraction for 1.5/9 is 3/18.
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help please with number 2 help please thank you
Answer:
He will save $300
Hope this helps
7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"
A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive
Answer:
C
Step-by-step explanation:
C
The illustration below is an example of a semi-regular tessellation.
A. True
B. False
The illustration below is a semi-regular tessellation is a false statement.
What is Tessellation?Tessellation is defined as the process of covering of a surface or a plane using the geometric shapes.
One geometric shape will not overlap with the other and there will not be any gaps in between.
There are regular tessellations as well as semi-regular tessellations.
Regular tessellations are the tessellations which are made using only a single type of the polygon to cover the entire surface.
Whereas in semi-regular tessellations, two or more regular polygons are used such that each vertex is the same to cover the surface.
Here, the illustration contains only one type of polygon which are tiled to each other with out any gaps.
It is actually regular tessellation.
Hence the statement that the illustration is semi-regular tessellation is incorrect.
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CMON HELP ME PLEASE IM SUPER DESPREATE I CANNOT FAIL HADAOSJDPOKD0NA UABAUDB
Answer: C. (5)
Step-by-step explanation:
Answer:
Pretty sure it's C!
I also hope you don't fail
Step-by-step explanation:
Can someone pls help me ?
Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can
Valerie cut?
Answer:
Valerie can cut 13 2/3 ft pieces.
Step-by-step explanation:
Please brainliest!
Simplify this expression: -2(-4x + 2y - 6)
Answer:
8x - 4y + 12
Step-by-step explanation:
-2(-4x + 2y - 6)
(-2)(-4x) + (-2)(2y) + (-2)(-6)
(2 * 4x) - (2 * 2y) + (2 * 6)
8x - 4y + 12