Answer:
A
Step-by-step explanation:
Hopefully this helps
in a certain school there are 180 pupils in the year7,110 pupils study french,88 study German , and 65 indonesian.40 pupils study both french and German,38study German and Indonesian,and 26 study both french and Indonesian,while 19 study German only.find the number of pupils who study
a)All three languages
b) Indonesian only
c)none of the languages
d)at least one language
e) either one or two of the three languages
Answer:
(a) All three languages - 9
(b) Indonesian only - 10
(c) none of the languages - 12
(d) At least one language - 168
(e) Either one or two of the three languages - 159
Step-by-step explanation:
The question require the knowledge of Set theory and its Formulas.
Total pupils = 180
French (Let F) = 110
German (Let G) = 88
Indonesian (Let I) = 65
French and German (F intersection G) = 40
German and Indonesian (G intersection I) = 38
French and Indonesian (F intersection I) = 26
German only = 19
(a) All three languages
We are given only German speaking people are 19
Only German = n(G) - n( F intersection G) - n(G intersection I) + n(F intersection G intersection I)
19 = 88 - 40-38 + n(G intersection I) + n(F intersection G intersection I)
n(G intersection I) + n(F intersection G intersection I) = 9
n(G intersection I) + n(F intersection G intersection I) represents the number of pupils speaking who study all the three languages.
(b)Indonesian only
n( I) - n(G intersection I) + n(F intersection I) + n(G intersection I) + n(F intersection G intersection I)
65 - 38 - 26 + 9 = 10
So 10 pupils speak Indonesian only
(c)none of the languages
It will be equal to Total - pupils speaking any of the three languages
Any of the three languages = (F union G union I)
= n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)
+ n(F intersection G intersection I)
n(G intersection I)
= 110 + 88 + 65 -40 -38-26 + 9
= 263 - 95
= 168
So 168 pupils speak any of the three languages
None speakers = 180 - 168 = 12 pupils
So 12 pupils do not speak any of the three languages.
(d)at least one language
At least one language has the meaning that the person can either speak one two or all three languages, so it will be same as we proceeded above
Any of the three languages = (F union G union I)
= n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)
+ n(F intersection G intersection I)
n(G intersection I)
= 110 + 88 + 65 -40 -38-26 + 9
= 263 - 95
= 168
(e) either one or two of the three languages
Pupils can speak one or two language but not all the three so will subtract all the three language speaker from the total.
Total speaker = 168
All three languages speaker = 9
Either one or two of the three languages speaker = 168 - 9 = 159
Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made xx dollars in sales?
Answer:
If Connor makes x dollars in sales, he will make 0.05x + 300 that week.
He makes $408.75 in a week if he makes $2175 in sales.
Step-by-step explanation:
y = 0.05x + 300
y = 0.05(2175) + 300
y = 408.75
Explain why this equation is true 1 x 10=10
Answer:
This equation is true because it is only one group of 10 that is being represented.
Step-by-step explanation: 1 x 10= 10
2 x 10= 20
3 x 10= 30
any number time ten you just have to do the number times 1 and then add a 0
Some chocolate, strawberry, and vanilla doughnuts were placed in a box. Some have a creamy center, and some do not. Suppose one of the doughnuts were chosen randomly from all the doughnuts in the box. According to the table below, if it is known to be strawberry, what is the probability that it does not have a creamy center? Chocolate Strawberry Vanilla Creamy center 6 9 3 No creamy center 6 3 9 A. 25% B. 75% C. 20% D. 50%
A because 25 percent of tje
Step-by-step explanation:
your welcome
apply the distributive property to factor out the greatest common factor of 35+50
Answer:
Im gayyyyyyyyy
Step-by-step explanation:
you are watching a game of poker on ESPN with your friends. You are trying to figure out the value of each colored chip that is being played. Supposed 12 white, 9 red, 8 yellow, 4 blue, and 0 green chips can be exchanged for 2 white, 1 red, 0 yellow, 1 blue and 1 green chip. Also. supposed 1 green= N blue, 1 blue= N yellow, 1 yellow= N red, and 1 red= N white.
what is the whole number rate of exchange for these chips?
is only one exchange rate possible?
9514 1404 393
Answer:
N = 5; only one rate is possible
Step-by-step explanation:
The values of the sets of chips are ...
12 +9N +8N^2 +4N^3
and
2 +N +N^3 +N^4
We want to find N such that the difference in value is zero:
N^4 -3N^3 -8N^2 -8N -10 = 0
A graphing calculator can show us the roots. There is only one positive real root to this equation: N = 5.
The exchange rate N is 5. Only one rate is possible.
What is the value of v? v+48° v–46°
Answer:
Step-by-step explanation:
Add v and 48°v
49v−46°
Help plz:))) I’ll mark u brainliest ASAP 10
Answer:
23 , 22 , 18 . i'm sorry if wrong
Answer:
i believe its C
Step-by-step explanation:
please help!! i will give brainliest to best answer
Answer:
complementary angle, vertical angle, and supplementary angle
Step-by-step explanation:
not for sure tho
a + 3y + 4a - 2y + 10
Answer:
5a+y+10 is your answer
Step-by-step explanation:
What is the distance between points 5,5 and 1,5 on the coordinate plane?
5,5 1,5
4,0cqscsqcewc
solve: (-3/11) + (8/11)
Answer:
5/11
Step-by-step explanation:
-3/11 + 8/11= 5/11
What is an equation of the line that passes through the point (4,-6) and has a slope of -3 solve problem
Answer:
y = -3x + 6
Step-by-step explanation:
1. the equation has a slope of -3 => y = -3x + b (b is the number we'll find now)
2. From the point (4,-6) => x = 4, y = -6
=> -6 = (-3)(4) +b
=> b = 6
PLEASE ANSWER THESE QUESTIONS CORRECTLY! IF YOU DO, I WILL MARK YOU AS BRAINLIEST! PLS AND TY THIS IS SOOOOO CONFUSINGGGG TO ME! :D
Answer:
Step-by-step explanation:
7. y=0.25x
8. No, the graph is a positive slope. Saying y=-x implies that there is a negative slope when it is not the case.
9a. y=12x
9b. The equation or graph is proportional relationship if there isn't a change in the graph or equation at all, and it roots back to a consistent ratio. for this one it's 1:12
Use the graph on the right to fill in the missing
values below.
The circle has a center at
(3, 0)
(0, 3)
(0,0)
The circle has a center at
✔ (0, 0)
.
If c + di is a point on the circle, then
|c + di |=
3✔
.
1.7x55 show how to answer
Answer:
93.5
Step-by-step explanation:
55 multiply
1.7
385 ≥ add 385 and 550
550
935 and get 935
Hope this helped you!! i tried to label it the best i could.
Answer:
Hi there! The answer is 93.5
Step-by-step explanation:
55 multiply
1.7
385 ≥ add 385 and 550
550
935 and get 935
add decimal point 93.5
Hope this helps!! Have a nice day! :D
Find each difference
(4y - 7 ) - ( y - 7 )
A certain forest covers an area of 4500 km². Suppose that each year this area decreases by 3.75%. What will the area be after 10 years?
Use the calculator provided and round your answer to the nearest square kilometer.
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Solve
5 2/9+4 2/9=?
6 1/4-3 1/8=?
2 1/2-1 1/4=?
4 1/6+3 2/3=?
9 1/2- 4 2/3=?
Answer:
3
4
5
9
2
Step-by-step explanation:
how to solve math percentage problems
Answer:
Calculator Use
Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations.
How to Calculate Percentages
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Read on to learn more about how to figure percentages.
1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y
Example: What is 10% of 150?
Convert the problem to an equation using the percentage formula: P% * X = Y
P is 10%, X is 150, so the equation is 10% * 150 = Y
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
Do the math: 0.10 * 150 = 15
Y = 15
So 10% of 150 is 15
Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15
2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%
Example: What percent of 60 is 12?
Convert the problem to an equation using the percentage formula: Y/X = P%
X is 60, Y is 12, so the equation is 12/60 = P%
Do the math: 12/60 = 0.20
Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
Converting 0.20 to a percent: 0.20 * 100 = 20%
So 20% of 60 is 12.
Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%
3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X
Example: 25 is 20% of what number?
Convert the problem to an equation using the percentage formula: Y/P% = X
Y is 25, P% is 20, so the equation is 25/20% = X
Convert the percentage to a decimal by dividing by 100.
Converting 20% to a decimal: 20/100 = 0.20
Substitute 0.20 for 20% in the equation: 25/0.20 = X
Do the math: 25/0.20 = X
X = 125
So 25 is 20% of 125
Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125
Remember: How to convert a percentage to a decimal
Remove the percentage sign and divide by 100
15.6% = 15.6/100 = 0.156
Remember: How to convert a decimal to a percentage
Multiply by 100 and add a percentage sign
0.876 = 0.876 * 100 = 87.6%
Step-by-step explanation:
Solve the
equation:
4 = x - 38
Answer:
42 = x
Step-by-step explanation:
4 = x - 38 4 = x - 38
+38 +38 or 38 + 4 = 42
42 = x plug in 42 into the equation to make it true
4 = 42 - 38
Answer:
x=42
Step-by-step explanation:
38+4=42 which means 42-38=4
Suzanne will use orange and blue beads to make bracelets. She will use the same number of orange beads on each bracelet and the same number of blue beads on each bracelet. She has 72 orange beads and 78 blue beads. What is the greatest number of bracelets that she can make that will have the greatest number of orange beads and blue beads? Explain how you know.
Answer:
She can make 6 bracelets using 12 orange beads and 13 blue beads.
In a population of subjects, possess a certain characteristic. A sample of subjects selected from this population has subjects who possess the same characteristic. What are the values of the population and sample proportions?
Answer:
the values of the population and sample proportions is 0.64 and 0.6 respectively
Step-by-step explanation:
The computation of the values of the sample proportions and the population is shown below:
Given that
Let us assume the population be P
N= 1000
X = subjects possess specific characteristic = 640
So,
P = X ÷ N
= 640 ÷ 1000
= 0.64
And, the sample proportion is
n = 40
x = subjects possess specific characteristic = 24
p =X ÷ N
= 24 ÷ 40
= 0.6
hence, the values of the population and sample proportions is 0.64 and 0.6 respectively
I need help with math first one get brainy
Answer:
Lets call it X
Now x = 4+6 = 10
What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.
Answer:
210 cm^2
Step-by-step explanation:
Area1:
6*3 = 18 cm^2
Area2:
6*7 = 42 cm^2
Area3:
6*5 = 30 cm^2
Area4:
6*11 = 66 cm^2
Area5 (*2):
(11+7)*3*1/2
18*3*1/2
54*1/2
27 cm^2 (*2) = 54 cm^2
54 + 66 + 30 + 42 + 18 = 210 cm^2
Kevin needs to find a cheap courier service to deliver birthday gift to his sister.the first courier he is considering charges $14 plus $7 per pound. The second charges $15 plus $6 per pound . Kevin determine that,given her gift weight, the two courier service are equivalent in terms of cost . How much is the cost? how much is the weight?
Answer:
the cost is 21$, and it weighs 1 pound.
Step-by-step explanation:
Which ordered pair is a solution of
y ≥ 5x - 2
(3, 12)
or
(1, 5)
Answer:
(1,5)
Step-by-step explanation:
Plug in 3 and 12 (x as 3) (y as 12)
12≥5(3)-2
12≥15-2
12≥13 which is false (Remember ≥ means greater than or equal to but 13 is greater than 12 so that is not true)
Plug in 1 and 5 (x as 1) (y as 5)
5≥5(1)-2
5≥5-2
5≥3 which is true
Answer: (1,5)
Hope this helps
Express sin 6x-sin 2x in product form.
Answer:
Step-by-step explanation:
sin C-sin D=2cos ((C+D)/2)sin ((C-D)/2)
[tex]sin ~6x-sin ~2x=2cos ~\frac{6x+2x}{2} sin ~\frac{6x-2x}{2} \\=2 ~cos~4x~sin~2x[/tex]
2r-12-3(r + 7) can I get help pls
-r - 33
I did on paper
Morgan estimates that it will take 12 minutes to download a movie from an online movie store. It
actually took 15.5 minutes to download the movie. Find the percent error. Round to the nearest
whole number, if necessary.
Answer:
29.1666667% Increase
Step-by-step explanation:
First, you subtract the orginal number from the new number. Which means, 15.5 - 12, which is equal to 3.5. Then you take 3.5 and then divide it by 12. Then, multipe it by 100.