In a group of 80 people, 50 can speak Nepali, 45 can speak English and 7 of them do not
speak both languages.
a) Find the number of people who speak both languages.
b) Also illustrate the above information in Venn diagram.
Answers
Answer:
Universal set is 80
Number of people that speak Nepali is 50
Number of people that speak English is 45
Number of people that do not speak both is 7
a. Number of people that speak both languages is 22
b. As above
Step-by-step explanation:
a. Let make number of people that speak both languages x
To get x
(50-x) + (45-x) + x + 7 = 80
(50-x) + (45-x) + x = 80 - 7
(50-x) + (45-x) + x = 73
Open bracket
50-x+45-x+x= 73
50+45-2x+x = 73
95 - x = 73
-x = 73 - 95
-x = -22
x = 22
Therefore, number of people that speak both languages is 22
b. To get venn diagram
Number of people that speak Nepali is 50 - 22 = 28
Number of people that speak English is 45 - 22 = 23
Therefore, total = 28+23+22+7 = 80
Related Questions
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When each data class has the same frequency, the distribution is symmetric. Choose the correct answer below.
a. The statement is true.
b. The statement is false. When each data class has the same frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same frequency, the distribution is skewed right.
Answers
Answer:
A; the statement is true
Step-by-step explanation:
In this question, we are to select which of the options is correct according to the initial statement.
The statement is true.
If the data classes have same frequency, then the distribution is said to be symmetrical in nature.
What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?
Answers
Answer:
44 hours
Step-by-step explanation:
just do 22 x 2
PLEASE HELP! I NEED ANSWERS! 8-11 FIND THE RELATIONSHIP
Answers
Answer:
8. complementary 9. linear pair 10. adjacent 11. vertical
Step-by-step explanation:
find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not
Answers
Answer:
please find the solution:
Step-by-step explanation:
please find the correct question:
Given value:
[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]
[tex]\to 4x-2[/tex] should be divisible by 6 we are also given that [tex]0 \leq x < n[/tex] and start with x = 0
[tex]\to 4x-2[/tex] =-2 which is not divisible by 6
x= 1
[tex]\to 4x-2[/tex] = 2 not divisilble by 6
x= 2
[tex]\to 4x-2[/tex] = 6 which is divisible by 6
x=3
[tex]\to 4x-2[/tex] = 10 not divisible by 6
x=4
[tex]\to 4x-2[/tex] = 14 not divisible by 6
x=5
[tex]\to 4x-2[/tex] = 18 which is divisible by 6
so such x are x = 2 and x = 5
One box of pencils costs rupees 28 . What is the cost of 509 boxes
Answers
One box of pencils costs rupees 28 . What is the cost of 509 boxes
Given:1 pencil costs=₹281 pencil costs=₹28No. of boxes=509We know:Costs of total no. of pencil boxes
=1 pencil box's costs×No. of boxes
=509×28
=14252✓
Lindy owes her friend Amanda$3. If she borrows another $6, how much will she owe altogether?
Answers
Answer:
9
Step-by-step explanation:
add 3 and 6
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answers
Answer:
15 square for six stage
Answer:
21
Step-by-step explanation:
stage 1: 1
stage 2: 3
stage 3: 6
the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.
stage 4: 10 (6+4)
stage 5: 15 (10+5)
stage 6: 21 (15+6)
According to modern science. Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose you represent the entire history of Earth by 12 hours on a clock, with the birth of Earth at the stroke of midnight and today at the stroke of noon. How long before noon does written human history begin?
Answers
Answer:
11:59:59. Human history can be represented as only less than one second in a 12 hour clock.
Determine the number that can be used in place of the question mark to make the
equation true.
3^? = 27
Answers
Answer:
3
Step-by-step explanation:
You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:
27/3
9
9/3
3
3/3
1
3^x = 27
3^3 = 27
3 x 3 x 3 = 27
9 x 3 = 27
27 =27
Jkjjujzjzjdjfjfjjfd find f f f v. G f ddbdjfksid difícil de djkdkdid dijfndndidi diske
Answers
;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-; ;-;
......................;-;
Use the remainder theorem to verify this statement. (x+5) is a factor of the function f(x)= x^3+3x^2-25x-75. Find the (blank) of f(x) and x+5. The (blank) of this operation is 0. Therefore, (x+5) is (blank) of function f. So f(blank) =0.
Blank choices:
1. product, sum, difference, or quotient
2. sum, discriminant, quotient, or remainder
3. the opposite, the simplified form, not a factor, a factor
4. -5, -75, 75, 5
Answers
Answer: I got this answer wrong but I go two right look at the step by step explanation
Hopefully that helped a little
Step-by-step explanation:
The expression (x + 5) is a factor of given function f(x) So the remainder of the function will be zero.
Remainder theorem:
The given function,
[tex]f(x) = x^3+3x^2-25x-75[/tex]
Equate (x + 5) is equal to 0.
x + 5 = 0
x = -5
Substitute x = -5 in given equation.
[tex]f(x) = x^3+3x^2-25x-75\\\\f(-5) = -5^3+3(-5)^2-25(-5)-75\\\\f(-5) = 0[/tex]
Since f(-5) = 0. thus, (x + 5) is a factor of given function f(x).
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|3d-3n|-4 if n=2 and d=3
Answers
Answer:
-1
Step-by-step explanation:
[tex]|3d-3n|-4[/tex]
Once we have an absolute value, we know that
[tex]|3d-3n| \geq 0[/tex]
[tex]\text{For }n=2 \text{ and } d=3[/tex]
[tex]|3(3)-3(2)|-4[/tex]
[tex]|9-6|-4[/tex]
[tex]|3|-4[/tex]
[tex]3-4[/tex]
[tex]-1[/tex]
78.540 round to the nearest hundred
Answers
Answer:
78.5
Step-by-step explanation:
Ur answer will be 78.600..
Because if it’s less than 5 it would be 78.400.
So, the ans is 78.600.
The angle measures of triangle QRS are given:
The measure of angle Q is (5x−15)°.
The measure of angle R is 75°.
The measure of angle S is (3x)°.
What is the value of x?
Answers
Answer:
x = 15°
Step-by-step explanation:
(5x-15) + 75 + 3x = 180
8x + 60 = 180
8x = 120
x = 15°
If a1=2 and an=an-1+5 then whats the value of a5
Answers
Answer:
a5=10
Step-by-step explanation:
a1=2 a2=4 a3=6 a4=8 a5=10
The value of the 5th term of the arithmetic sequence will be 22.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The value of the first term is 2. Then the value of the 5th term is calculated as,
a₂ = a₁ + 5
a₂ = 2 + 5
a₂ = 7
a₃ = a₂ + 5
a₃ = 7 + 5
a₃ = 12
a₄ = a₃ + 5
a₄ = 12 + 5
a₄ = 17
a₅ = a₄ + 5
a₅ = 17 + 5
a₅ = 22
More about the arithmetic sequence link is given below.
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Measures of the missing numbered angles
Answers
Answer:
23
Step-by-step explanation:
what value of x will make the equation f(x)=6 true ?
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]f(x) = 6[/tex]
Required
Solve for x
The question is incomplete as the function f(x) is not given.
However, the following explanation will guide you
As a point of reference, we assume that f(x) is:
[tex]f(x) = 2x + 4[/tex]
To solve further, we substitute 6 for f(x)
[tex]6 = 2x + 4[/tex]
Then, we solve for x
[tex]2x = 6 - 4[/tex]
[tex]2x = 2[/tex]
Divide through by 2
[tex]x = 1[/tex]
So, in your case.
All you need to do is substitute 6 for f(x) then solve for x
Last year, Raul estimated that he would need 480 night lights, but he sold 420 night lights. This year, he bought 425 night lights and only sold 375. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Raul estimated better last year.
The percent error for this year was higher. Raul estimated better last year.
The percent error for this year was lower. Raul estimated better this year.
The percent error for this year was higher. Raul estimated better this year.
Answers
Answer:
3
Step-by-step explanation:
Answer:
C. The percent error for this year was lower. Raul estimated better this year.
Edge2021 <33 Please mark brainliest luv
by which smallest number can 275 be multiplied to get perfect square
Answers
- You invest $1,000 in a stock market index fund that earns 8% compounded annually overa
10-year period (a simplified example since stock market returns vary year to year). How
much would your investment be worth after this 10-year period?
A. $1,080
B. $1,800
C. $2,000
D. More than $2,000
Answers
Answer:
I believe c
Step-by-step explanation:
I believe this because if you invest in stock for ten years as on this paragraph the answer is C
Option D is correct. we worth more than $2000 after 10 year period.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that You invest $1,000 in a stock market index fund that earns 8% compounded annually over a 10-year period.
We have to find the investment be worth after this 10-year period.
A=P(1+r)ⁿ
P is the initial amount
r is rate of interest
n is the time
A=1000(1+0.08)¹⁰
A=1000(1.08)¹⁰
A=1000×2.1589
A=2158.9
Hence, option D is correct. we worth more than $2000 after 10 year period.
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if $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in 3 years ?
Answers
Answer:
154.44
Step-by-step explanation:
What is 13% of 396?
Y is 13% of 396
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 13% * 396
Converting percent to decimal:
p = 13%/100 = 0.13
Y = 0.13 * 396
Y = 51.48
Now multiply by 3 (amount of continuous years)
51.48 * 3
=154.44
Hope it helps!
- 8n - 8 = -72
I don’t know how to do this
Answers
Answer:
n=8
Step-by-step explanation:
Add 8 to both sides of the equals sign, then bring down -8n, add -72+8, You'll get -64, lastly you divide -64 and -8, and you'll get your answer
Then, having the 8 as a positive number, subtract it from the left side. 8n = 64
In our final step, we divide 64 by 8 to find what n is, n= 8
To check your work you can plug it back into the original equation, be sure that both sides equal each other!
Please help multiple choice
Answers
Step-by-step explanation:
Hope this helps, good night
The price of a sweater was reduced from $20 to $12, By what percentage was the price of the sweater reduced?
Answers
Answer:
40%
Step-by-step explanation:
12 ÷ 20 = .6
You can convert the .6 to a percentage by multiplying it:
.6 x 100 = 60%
If 12 is 60% of 20, then that means 40% was taken away.
Price of the sweater was reduced by 40%.
Given in the question,
Original Price of a sweater is $20.Price of the sweater was reduced from $20 to $12.Percentage reduction in the price from $20 to $12 can be calculated from the expression,
Percentage reduction = [tex]\frac{\text{Change in price}}{\text{Original price}}\times 100[/tex]
= [tex](\frac{20-12}{12})\times 100[/tex]
= [tex]\frac{8}{12}\times 100[/tex]
= 40%
Therefore, price of the sweater was reduced by 40%.
Learn more,
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PLZ HELP FAST
A cruise ship is currently 15 kilometers away from its port and is traveling away from the port at 15
kilometers per hour. The function y = 15x + 15 relates the number of kilometers y the ship will be from
its port x hours from now. How far will the cruise ship be from its port 3 hours from now?
The cruise ship will be______ kilometers away from port in 3 hours.
Answers
Answer:
45
Step-by-step explanation:
Answer: 60 kilometers
Step-by-step explanation:
Plug in your hours:
y = 15(3) + 15
y = 45 + 15
y = 60 kilometers
Hope this helps!
On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.
Answers
Answer:
Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph
Step-by-step explanation:
The rule of distance is d = v × t, where
v is the average speedt is the time∵ You wish to average 60 mph on a drive from your home to town
∵ The distance from your home to town is 78 miles
→ Find the time of your journey using the rule above
∴ 78 = 60 × t
→ Divide both sides by 60
∴ [tex]\frac{78}{60}[/tex] = t
∴ t = [tex]\frac{13}{10}[/tex] hours
∵ You have averaged only 45 mph in the first 39 miles (half way)
∴ v1 = 45 mph
∴ d1 = 39 miles
→ Find the time of this part
∴ 39 = 45 × t1
→ Divide both sides by 45
∴ [tex]\frac{39}{45}[/tex] = t1
∴ t1 = [tex]\frac{13}{15}[/tex] hour
→ Subtract the time of the first part from the time of the journey to
find the time for the second part
∵ t2 = t - t1
∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]
∴ t2 = [tex]\frac{13}{30}[/tex] hour
→ Now let us find the average speed of the second part of his journey
∵ d2 = 39 miles ⇒ (78 - 39)
∵ t2 = [tex]\frac{13}{30}[/tex] hour
∴ 39 = v2 × [tex]\frac{13}{30}[/tex]
→ Divide both sides by [tex]\frac{13}{30}[/tex]
∴ 39 ÷ [tex]\frac{13}{30}[/tex] = v2
∴ 90 = v2
∴ v2 = 90 mph
∴ Your average speed must be 90 mph in the remaining distance in
order to have overall average speed of 60 mph
PLEASE HELP! DUE TODAY!
Answers
Answer:
D. y=x-10
Step-by-step explanation:
Answer: C
Step-by-step explanation: Subtract X from both sides, you will have
Y= -x+10
Pls help. .................................
Answers
A is the correct answer
Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope
Answers
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answers
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
Have a nice day / night :)