b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?
Answers
Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
Related Questions
subject
Math, 25.02.2021 09:15 hajuyanadoy
Illustrate the following and determine the number of permutations. 1. Arranging 4 pots with different plants in a row
2. Forming a four-digit ATM pin.
3. Securing a motorcycle with a three-digit combination lock using the numbers 1, 2, 3 and 6
4. Displaying 3 identical small vases, 1 figurine, and a photo frame in a row
5. 3 girls sitting around a circular table
Answers
Answer:
1: 16
2: 4940
3: 24
4: 25
5: 9
Step-by-step explanation:
A permutation is a method of calculating the number of possible outcomes. It follows the following general formula;
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
There (n) is the number of objects, and (r) is the number of objects selected.
1. Arranging 4 pots with different plants in a row
In order to solve this, one needs two pieces of information, the number of objects, and the number of objects selected. One is given the number of objects; (4), but when the problem states "in a row" it never specifies how many plants are in a row. Thus, let one assume that a "row" can have an infinite amount of space, but in this case, only (4) space will be used. Therefore there are (4) objects with (4) objects selected. However, the drawback is that the combination formula doesn't work when the two parameters (n) and (r) are the same. Hence, to solve this special case, one simply multiplies the two numbers to get the answers:
[tex]n*r\\\\=4*4\\\\=16[/tex]
2. Forming a four-digit ATM pin
One is given that there are (4) digits in the ATM pin, this is the number of objects selected. One is also given that number of objects, there are (10) digits including (0). Set up the permutation and solve;
[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]
[tex]_1_0P_4=\frac{10!}{(10-4)!}\\\\=\frac{10!}{6!}\\\\=\frac{10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}\\\\=10*9*8*7\\\\=4940[/tex]
3. Securing a motorcycle with a three-digit combination lock using the numbers (1), (2), (3), and (6).
There are (4) digits to choose from on the lock. But there are (3) numbers that can be selected.
[tex]_4P_3=\frac{4!}{(4-3)!}\\\\=\frac{4!}{1!}\\\\=\frac{4*3*2*1}{1}\\\\=4*3*2*1\\\\=24[/tex]
4. Displaying 3 identical small vases, 1 figure, and a photo frame in a row.
There are (5) objects, and (5) spaces (read problem (1) for an explanation for the objects being put in a row). Thus, this is a special case; multiply the two numbers to get the result;
[tex]n*r\\=5*5\\=25[/tex]
5. 3 girls sitting around a circular table
There are (3) subjects, and (3) spaces in this problem. Apply the same logic applies to a row in this problem. Therefore, this is another special case; multiply the two numbers to get the result;
[tex]n*r\\=3*3\\=9[/tex]
Surface area of a cuboid is 384
work out the volume
Answers
Answer:
is 512
Step-by-step explanation:
Rudy rode a bike at the speed of 32 2/3 miles per 3 1/2 minutes. What is his speed in terms of miles per hours?
HELPPP
Answers
Answer:
[tex]32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour[/tex]
560 miles per hourJoanne earns $150 per week plus a 5% commission on her sales. If she made $355 last week, what were her sales for this week?
Answers
Answer:
150 + (.05x) = 355
.05x = 205
x = $4100
Step-by-step explanation:
Subtract to find amount of commission made:
355 - 150 = 205
She made $205 in commissions
Divide the amount she made in commission by the percentage she gets:
205 / 0.05 = 4,100
Her sales was $4,100
HI I really need help with this its in the picture
Answers
Explanation:
The blue rectangle has area of 4a^2*6a^2 = 24a^4
The red rectangle has area 4a^2*9a = 36a^3
The green rectangle has area 4a^2*3 = 12a^2
The total area is 24a^4 + 36a^3 + 12a^2
instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.
Given: SAS
Answers
Answer:
please I don't know can u please help me out
Answer:
The answer to your question where SAS is given
∠T ≈∠ W
Que cantidad se obtiene al resolver la siguiente operacion: [4+{(2-5)2-4(7-5)3+2(15/3)}]- Raiz cuadrada de 16
Answers
Respuesta:
-13
Explicación paso a paso:
Dada la ecuación:
[4 + {(2-5) ²-4 (7-5) ³ + 2 (15/3)}] - Raíz cuadrada de 16
La raíz cuadrada de 16 se escribe como √16
[4 + {3² - 4 (2³) + 2 (5)} - √16
4 + {9 - 4 (2 * 2 * 2) + 10} - 4
4 + {9 - 4 (8) + 10} - 4
4 + {9 - 32 + 10} - 4
4 - 13 - 4
= -13
What are the zeros of the polynomial function f(x) = x(x + 5)(x – 8)?
–5, 8
0, –5, 8
5, –8
0, 5, –8
Answers
Answer:
Option B is answer.
Step-by-step explanation:
Hey there!
Given;
f(X) = X(X+5)(x-8)
According to the factor theorem, f(X) = 0;
Or, X(X+5)(x-8) = 0
Either;
x = 0
Or;
(x+5)= 0
X = -5
Or;
(x-8)= 0
x = 8.
Therefore, the zeros of the polynomial are: 0,-5,8.
Hope it helps!
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
Answers
Answer:
Step-by-step explanation:
From the picture attached,
ΔDEF is a right triangle with two sides,
EF = 17 units
DF = 20 units
By applying Pythagoras theorem in the given triangle,
DE² = DF² + EF²
(20)² = DF² + (17)²
DF² = 400 - 289
DF = √111
Trigonometric ratios for the ∠F,
sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]
[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\text{cos}F=\frac{17}{20}[/tex]
[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]
Choose the correct option.
Identify the ethical issue(s) in each experiment. Beginning in the 1940s, the Department of Medicine at the University of Chicago tested anti-malaria medications on inmates at the Stateville Penitentiary. Inmates readily volunteered, as their parole would be reviewed upon completion of their sentence. Inmates who participated in the study reported that they were informed of the risks involved in participating in the study, including the possibility of death.
In the 1960s, Stanley Milgram studied the willingness of subjects to obey an authority figure, even at the risk of being harmed. The subjects believed they were taking part in a study on learning. They were assigned to the role of teacher and were ordered to administer electrical shocks with increasing voltage to the learner whenever the learner made an error. The learner was an actor who remained unharmed. The subjects were not initially told that it was a study of obedience, as this might affect the outcome, and they were not prepared for possible psychological distress.
In the 1950s and 60s, Saul Krugman infected mentally disabled children enrolled at the Willowbrook State School in New York with hepatitis in order to better understand how the disease spread and how it could be combatted. Parents agreed to enroll their children in the study in exchange for admission to the school.
Answers
Full question attached
Answer:
1. Subjects were not aware of the purpose of the experiment.
2. Subjects were not aware of all potential risks.
Subjects were not aware of the purpose of the experiment.
3. Subjects were coerced into participating
Explanation:
Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).
1. Experiment violates informed consent as participants were not aware of the purpose of research.
2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.
3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.
Question 1 of 10 If f(x) = 5x and g(x) = x+1, find (f.g)(x).
Answers
Answer:
D
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= 5x³( x + 1) ← distribute parenthesis
= 5[tex]x^{4}[/tex] + 5x³ → D
find the area of the triangle
Answers
Answer:
Formula for area of a triangle= L*H/2
Step-by-step explanation:
Let's say your triangle has an A length of 15 and your B height is 12. You then multiply your length and height to get 180. Then you divide your answer by 2 and get 90.
Hope this helps!! :)
The interior angles of a hexagon are in the ratio 1:2:3:4:5:9 Find the angles. This is an example of a concave hexagon. Write in an equation.
Answers
Answer:hope this helps.. please mark as brainliest.....
9514 1404 393
Answer:
30°, 60°, 90°, 120°, 150°, 270°
Step-by-step explanation:
Let x represent the smallest angle. Then the sum of angles of the hexagon is ...
x + 2x + 3x + 4x + 5x + 9x = 720°
24x = 720°
x = 30°
The angles are ...
30°, 60°, 90°, 120°, 150°, 270°
Oof, someone please help asap! I don't recall ever seeing this type of question before!
Answers
Answer:
90
Step-by-step explanation:
You are looking for the highest common factor for 270 and 360.
Factor the 2 numbers
270 = 2 * 5 * 3 * 3 * 3
360 = 2 * 2 * 2 * 3 * 3 * 5
Each of the numbers has a 5
Each of the numbers has two threes
Each of the numbers has one 2
So the answer is 2 * 3*3 * 5
Someone please tell me what the cube root of x to the power of 3 is?
Answers
Answer:
x
Step-by-step explanation:
The cube root of x to the power of 3 is
( [tex]\sqrt[3]{x}[/tex] )³ = ( [tex]x^{\frac{1}{3} }[/tex] )³ = x
or
[tex]\sqrt[3]{x^3}[/tex] = x
express 3 as a percent of 5
Answers
Answer:
0.15
Step-by-step explanation:
first get three percent:
3/100 = 3%
then use of operation:
3% of 5;
= (3/100) * 5
Answer:
60%
Step-by-step explanation:
To change a fraction to a percentage, multiply the fraction by 100% , then
[tex]\frac{3}{5}[/tex] × 100% = [tex]\frac{3(100)}{5}[/tex] = [tex]\frac{300}{5}[/tex] = 60%
Please help!!-- What is the measure of arc AT in the circle O below?
Answers
Answer:
97
Step-by-step explanation:
Arc AT = angle at the center 97°
POINTS!!
Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis.
Answers
Answer:
1) Please find the attached drawing of the archway created with MS Excel
2) The y-intercept is (0, 24)
The x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base is 11
The height of the archway at its highest point = 30.25
Step-by-step explanation:
The given function representing the archway is y = -x² + 5·x + 24
1) Please find attached the required drawing of the archway created with MS Excel
2) The y-intercept is given by the point where x = 0
Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24
The y-intercept = (0, 24)
The x-intercept is given by the point where y = 0
Therefore, the x-values at the x-intercept are found using the following equation;
0 = -x² + 5·x + 24
x² - 5·x - 24 = 0
By inspection, we have;
x² - 8·x + 3·x - 24 = 0
x·(x - 8) + 3·(x - 8) = 0
∴ (x + 3) × (x - 8) = 0
Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8
Therefore, the x-intercepts are (-3, 0), and (8, 0)
3) The width of the archway at its base = The distance between the x-values at the two x-intercepts
∴ The width of the archway at its base = 8 - (-3) = 11
The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)
∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5
Therefore;
The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point
∴ The height of the archway at its highest point = 30.25.
This graph shows a proportional relationship.
What is the constant of proportionality?
Answers
Answer:
[tex]m = \frac{3}{4}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The constant of proportionality
Select two points on the graph
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (4,3)[/tex]
So, the constant of proportionality (k) is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-0}{4-0}[/tex]
[tex]m = \frac{3}{4}[/tex]
On the last math test in Kenzie’s class, 17 out of 25 students scored an 80 or higher. Which percent is closest to the experimental probability that a student selected at random will score an 80 or higher on the next test?
Answers
Answer
There is a 68 percent that a student selected a random will score an 80 or higher on the next test.
Explanation
You just need to find the percentage of 17 out of 25, or 17/25.
You can do this by dividing 17 by 25.
17/25 equals 0.68, or 68 percent.
Which of the following are square root of the number below? Check all that apply.
81
Answers
Answer:
A, B, D, E
Step-by-step explanation:
[tex]\sqrt{81}[/tex] = ± 9 → D and E
Since 9 × 9 = 81 and - 9 × - 9 = 81
[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B
- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A
What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X
Answers
Answer:
C: y=-3x
Step-by-step explanation:
Rise over run: in this case you go down so -3/1=-3
How many cubes with side 2cm are needed to make a cube with side 6cm
Answers
Answer:
27 cubesStep-by-step explanation:
Cube with side 2 has volume:
2³ = 8Cube with side 6 has volume:
6³ = 2³*3³ = 8*27Number of cubes:
8*27/8 = 27In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase in the population of the village from 2017 to 2019.
Answers
Answer:
10.2%
Step-by-step explanation:
The given population of the village in 2017 = 7,500
The given population of the village in 2019 = 8,265
The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;
[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]
The final value of the population in 2019 = 8,265
The initial value of the population in 2017 = 7.500
Therefore;
[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]
The percentage increase in the population = 10.2%
The marked price of a palmtop was Rs 10,000. What will be the price of palmtop if 13% VAT was levied, after allowing 15% discount on it ?
Answers
Step-by-step explanation:
price after discount and with vat = 9605
I need help with 7 and 8 please
Answers
Answer:
Can't See 7 clearly
8) (9,9)
Step-by-step explanation:
[tex]\frac{10+8}{2}[/tex] , [tex]\frac{10+8}{2}[/tex]
Add x's and divide by 2
Add y's and divide by 2
Like taking the average of the coordinates.
A oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much money would it cost to fill the entire tank?
A. $65,280
B. $68,000
C. $5,440
D. $67,200
Answers
Answer:
Option A, $65,280
Step-by-step explanation:
The volume of the tank is,
12×20×15+40×(50-15)×12
= 3600+16800
=20400 cubic meters
For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,
20400×$3.20
= $65,280
Answered by GAUTHMATH
if you were pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches. you want to fill it exactly half full, how many cubic inches of juice would you pour
Answers
Answer:
You would pour 50.3 in^3 of juice
Step-by-step explanation:
The term ‘cubic’ indicates volume
so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2
Mathematically, we have the volume of the cylinder as;
V = pi * r^2 * h
r = 2 inch
h = 8 inch
Since we are dividing the volume by 2 (exactly half full)
V = 1/2 * pi * 2^2 * 8
V = 50.3 in^3
Charity and her family are going on vacation to visit family over the summer. Their flight will last 6.94 hours. Charity says, "If we round this number, it is a seven-hour flight." Her sister says, "I think you're wrong. If we round it, it is 6.9-hour flight." Who is correct? Explain your reasoning.
Answers
Answer:
Charity is more correct
Step-by-step explanation:
Flight time = 6.94 hours
Charity estimation = 7 hours
Her sister's estimation = 6.9 hours
Charity is more correct if we are to round to the nearest whole hour
6.94 hours is approximately 7 hours
Her sister is only correct if we are to round up to 1 decimal place
6.94 hours is approximately 6.9 hours to 1 decimal place
Which value is 10,000 times larger than 1,300?
Explain.
Answers
Which value is 10,000 times larger than 1,300?
answer= 1300×10000
= 13,000,000
