Out of some students appeared in an examination,
80% passed in English, 75% passed in Science and
5% failed in both subjects. If 300 of them were
passed in both subjects, how many students were
appeared in the examination? Find it by using a
Venn-diagram
(Ans: 500
Answer:
500 students appeared in the examination.
Step-by-step explanation:
Each event represents a set in the Venn diagram, and we use it to find the desired values.
I am going to say that:
Event A: Passed in English.
Event B: Passed in Science.
80% passed in English
This means that [tex]P(A) = 0.8[/tex].
75% passed in Science
This means that [tex]P(B) = 0.75[/tex]
5% failed in both subjects.
This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].
Proportion that passed both subjects:
This is [tex]P(A \cap B)[/tex]
These percentages are related by the following equation:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
Number of students in class:
60% of the total number t passed both subjects. This is equals to 300. So
[tex]0.6t = 300[/tex]
[tex]t = \frac{300}{0.6}[/tex]
[tex]t = 500[/tex]
500 students appeared in the examination.
Bill put $1000 into a simple interest saving account that earns 6.25% interest. How much will
the account be worth in 5 years?
Answer:
1,800
Step-by-step explanation:
divide 1,000 by 6.25 and we get
160 then we multiply 160 by 5 and we
get 800 so Bill's Bill's bank account will be worth
1,800 in 5 years
is 17.61 rational or irrational
Answer:
It is an Irrational Number
Fill in the y-value for each box in the t-chart using the equation below !?
Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules
Answer:
-3,9
30
Step-by-step explanation:
Edge 2021
The displacement is (-3, 9)
Work done= 30 Joules
What is vector?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Given:
F= (-1, 3)
point (3, -9)
So, displacement from origin to (3, -9)
d= (0-3, 0-(-9))
d= ( -3, 9)
Work done = F. d
= 3 + 27
= 30 joules.
Learn more about vector here:
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At the zoo 1/9 of the park is set aside for the monkeys. There are 4 different monkeys, each with an equal-sized area. What fraction of the zoo is set aside for the one monkey area?
Answer:
1/4
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
1/9 divided by 4
Please answer these questions on circumference for BRAINLIEST and extra points if correct!
Answer:
1 a: 1.46
2 a : .73
3 a : 1.54
____
1 b: 9.42
2 b: 2.9
3 b: 16.96
- I hope that helps :)
Step-by-step explanation:
A woman buys a pair of shoes at a sale. She pays $45, saving
$15 on the normal price. The percentage discount on the pair of shoes is
Answer:
33.3%
Step-by-step explanation:
Sally says it is possible to draw a triangle with these side length
5cm, 5cm, 12cm
Is she correct?
Explain how you know
Step-by-step explanation:
The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.
i really need help with this!
Note: we can see that if we complete the circle, the radius is 15 cm.
First find the area of the square.
15*15=225 cm^2
Now find the area of the white area, which is a quarter circle.
S PR = 225π/4
The area of the shaded area should then be 225-(225/4)π cm^2
If we take 3/14 for π, then we get answer
225-176.625
=48.375 cm²
The length of a rectangle is twice the width. The area is 32 yd2. Find the length and the width.
W=4 ANS. FOR THE WIDTH. L=2*4=8 ANS.
Mark as brainlist
Draw a graph of Andre’s distance as a function of time in this situation.
Answer: it is the variable
Step-by-step explanation:
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 13 HCF of water is
$34.58, and the cost for using 24 HCF is $53.83. What is the cost for using 19 HCF of water?
Answer:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
---------
The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14.
---
You have 2 points: (28,39.49) and (47,65.14)
slope = (65.14-39.49)/(47-28) = 1.35
y = mx+b
39.49 = 1.35*28 + b
b = 1.69
Step-by-step explanation:
C(x) = 1.35x + 1.69
--------------------------
What is the cost for using 32 HCF of water?
C(32) = 1.35*32 + 1.69
C(32) = $44.89
the measure of an angle is 177.5 what is the measure of its supplementary angle
Answer:
yes yes yes yes yeah yes yes yes yes
Step-by-step explanation:
the. yes gods will take over earth
help, please This is due in 5min's
Answer:
51
Step-by-step explanation:
The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.
Martin jogged 45 minutes everyday for 21 days how many minutes did he jog over the 21 days
Answer:
45(21)=945 Minutes
Step-by-step explanation:
You multiply 45 minutes for everyday. Since there is 21 days you multiply by 21. So you do 45(21).
Which of the following relations is a function?
{(-2,0),(-1,0),(0,1),(1,0)}
{(0,-2),(-1,1),(1,-1),(0,1)}
{(-1,-1),(-1,0),(-1,1),(0,-2)}
To cut a 4 inch ribbon into 7 equal
Lengths what would be the length of each ribbon after cutting
Answer:
0.5714285714
Step-by-step explanation:
4/7 = 0.5714285714
detrmine if 7, 5, 84, 48 are in proportion or not
Answer:
No, the numbers are not in proportionStep-by-step explanation:
The proportion between the first two and the second two numbers are:
7/5 and 84/48Simplifying the second fraction:
84/48 = 7*12/4*12 = 7/4Comparing the fractions:
7/5 ≠ 7/4The answer is no
What is 50% of 20?.........................
Answer:
10
Step-by-step explanation:
50%, or 1/2 of 20 is 10.
Answer:
10!
Step-by-step explanation:
50% is half, so half of 20 is 10!
In ΔSTU, s = 150 cm, t = 430 cm and u=470 cm. Find the measure of ∠U to the nearest degree.
Answer: 96∘
Step-by-step explanation:
The measure of angle U is 96°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
s = 150 cm
t = 430 cm
u = 470 cm
The Cosine rule of a triangle.
a² = b² + c² - 2bc Cos A
Now,
u² = s² + t² - 2st Cos U
Cos U = (s² + t² - u²) / 2st
Cos U = (22500 + 184900 - 220900) / 129000
Cos U = -0.10
U = 95.7
U = 96°.
Thus,
The angle U is 96°.
Learn more about triangles here:
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Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant
Answer:
20 cookies
Step-by-step explanation:
Range of a data set plotted on a box plot = the maximum value - the minimum value
The maximum value is indicated by the whisker to your extreme right = 25
The minimum value is indicated by the whisker to your extreme left = 5
Range = 25 - 5 = 20
You and two friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $70,
how much does one regular price ticket cost? Write the equation.
Solve the equation
The seat of a bench is in the shape of a trapezoid with bases of 6 feet and 3 feet and a
height of 1.5 feet. What is the area of the seat?
The area of the seat is
ft.
Answer:
6.75 ft^2
Step-by-step explanation:
The area of the seat can be calculated as follows
a + b/2 × h
6+3/2 × 1.5
9/2 × 1.5
4.5× 1.5
= 6.75 ft^2
Hence the area of the seat is 6.75ft^2
PLEASEEEEE HWLP 10 points hehehheh
Answer:
just count the blocks inside the blue line
35
Area of the rectangle**
Help me this is due today!!!!!!!!
Mr. Dyer left a $12.60 tip at a restaurant. This represented 18% of his family’s dinner bill. What was the amount of the family’s dinner bill?
Answer:
$70
Step-by-step explanation:
$12.60 / .18 = $70
I hope this is right, but I am thinking it is since you have to multiply by .18 to get the tip value.
helllllllp PPPLZZZZZZZZZZ
Answer:
b because the overall problem has a little four witch makes all those numbers in the problem multiplied by 4
Step-by-step explanation:
12 km What is the length of the hypotenuse?
Answer:
We need the picture of the shape. The hypotenuse it the longest side. Usually it gives you the hypotenuse. Message me if you need some help.
Step-by-step explanation:
Suppose you are driving to visit a friend in another state. You are driving 65 miles per hour.
You must drive 520 miles total. If you have already driven 195 miles, how long will it take you
to reach your destination? Use h to represent the number of hours it will take to reach your
destination. Use the equation 65h+195 = 520.
A.2 hours
B. 5 hours
C. 15 hours
D. 22 hours
Answer:
b.5 hours
520-195=325
325/65=5
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
........................ .....
work out the value of x
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
I hope it's helpful!
