Step-by-step explanation:
(i) AUC={1,2,3,4,5,6,7,8,9}
A group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U. The survey revealed the following information. 55 said "great football team" (F) 51 said "excellent party reputation" (P) 61 said "it was the only place that would accept me" (O) 9 said "great football team" but didn't say "excellent party reputation" and didn't say "it was the only place that would accept me" 26 said "it was the only place that would accept me" and "great football team" and "excellent party reputation" 31 said "excellent party reputation" and "great football team" 8 said only "excellent party reputation" 4 said none of the above reasons Required:a. How many said "it was the only place that would accept me" and "excellent party reputation"? b. How many said "great football team "or "it was the only place that would accept me"? c. How many said "great football team "but no "excellent party reputation"? d. How many were surveyed?
Answer:
Step-by-step explanation:
This is a problem of SETS.
Start by listing out important data:
1. Total that said F = 55
2. Total that said P = 51
3. Total that said O = 61
4. F only = 9
5. F ∩ P ∩ O = 26 [NOTE: If you were to draw a Venn Diagram, 26 would be in the innermost circle because it comprises all three categories]
6. F ∩ P = 31
7. P only = 8
8. Students that said none of the 3 reasons = 4
QUESTIONS
1. How many said O and P? In other words, find the intersect of O and P. Find O ∩ P
2. How many said either F or O? [Answer to be gotten using a venn diagram] Find F ∪ P which translates to "F union P"
3. How many said F without saying P? [Answer to be gotten from the venn diagram as well]
4. How many students in total were surveyed? [HINT: Remember to include the 4 students that had none of the three options]
A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.
Given that a group incoming first-year students at Major University were surveyed in order to determine the factors that influenced their decisions to choose to attend Major U, and the survey revealed that 55 said "great football team" (F), 51 said " excellent party reputation "(P), 61 said" it was the only place that would accept me "(O), 9 said" great football team "but didn't say" excellent party reputation "and didn't say" it was the only place that would accept me ", 26 said" it was the only place that would accept me "and" great football team "and" excellent party reputation ", 31 said" excellent party reputation "and" great football team ", 8 said only "excellent party reputation", and 4 said none of the above reasons, to determine:
A) How many said "it was the only place that would accept me" and "excellent party reputation"?
B) How many said "great football team" or "it was the only place that would accept me"?
C) How many said "great football team" but no "excellent party reputation"?
D) How many were surveyed?
The following calculations must be performed:
F = 55 (F = 9 + FP = 5 + FO = 15 + FPO = 26) = 55 - (26 + 9) = 20 - (31 - 26) = 15 = 9 + 5 + 15 + 26 = 55 // / FO = 15 /// FP = 5 P = 51 (P = 8 + PF = 5 + PO = 12 + PFO = 26) = 51 - 8 - 5 - 26 = 12 /// PO = 12 O = 61 (O = 8 + OP = 12 + OF = 15 + OPF = 26) = 61 - 12 - 15 - 26 = O = 8 None = 4 4 + 9 + 8 + 8 + 5 + 12 + 15 + 26 = X 87 = X
Therefore, A) 12 said "it was the only place that would accept me" and "excellent party reputation"; B) 17 said "great football team" or "it was the only place that would accept me"; C) 24 said "great football team" but no "excellent party reputation"; and D) 87 students were surveyed.
Learn more about surveys in https://brainly.com/question/21602839
what is the answer for -9+x=-26
Answer:
x =-17
Step-by-step explanation:
[tex]-9+x=-26\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\-9+x+9=-26+9\\\\Simplify\\x=-17[/tex]
3x + 5 =11 use the subtraction property of equality
Answer: the answer to the equation would be x=2
Step-by-step explanation:
You would use the subtraction property of equality to get ride of the five. Then you would subtract 11 by 5 and get 6. After that you would get the x by itself and divide it by 3. Them you will also divide 6 by 3 And be left with 2.
Which type of transformation is shown here?
Answer:
this one is Rotation
Step-by-step explanation:
it's going to flip on the side
If 26.97 ÷ 6.3 is written in long division form as long division set up where 63 is on the outside of the division symbol and 26970 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?
Between the 2 and the 6
Between the 6 and the 9
Between the 9 and the 7
Between the 7 and the 0
The decimal point should be placed between digits 9 and 7 in the dividend. i.e the dividend becomes 269.7
Step-by-step explanation:
Dividend = 26.97 [numerator]
Divisor = 6.3 [denominator]
If 26.97 ÷ 6.3 is written in long division form so that the divisor is written as a whole number, we have the following;
(i)First convert the divisor to a whole number by multiplying by 10 i.e
6.3 x 10 = 63
(ii) Since the divisor (denominator) has been multiplied by 10, to make sure the division expression stays the same, we need to multiply the dividend(numerator) too by 10. i.e
26.97 x 10 = 269.7
(iii) The division expression then becomes;
269.7 ÷ 63
Therefore, the decimal point should be placed between digits 9 and 7 in the dividend.
can you give me Brainliest
Answer:
9 and 7
Step-by-step explanation:
26.6.3 is long division set up 63 is out of the division symbol and 26970.
what is the sum of 0.64 and 0.28
Answer:
0.92
Here is my work:
+1
0.64
+ 0.28
__________
0.92
(the +1 is the carrying of the one)
Hope this helps!!
The answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The numbers are 0.64 and 0.28
= 0.64 + 0.28
After applying arithmetic operations,
= 0.92
Thus, the answer would be 0.92 after adding 0.64 and 0.28 and applying the arithmetic operation.
Learn more about the arithmetic operations here,
brainly.com/question/25834626
#SPJ2
Hello i need some help!
Answer:
3×2 + 3×-b
Step-by-step explanation:
[tex]3(2-b)\\= 3\times 2 + 3\times (-b)\\\\= 6 -3b[/tex]
The diagonals of a rhombus are 4 inches and 18 inches. How long are the sides?
5/6 equals 1/3 plus d what does d equal
It equals 1 1/6 + d.
In other words, one and one sixth plus d.
Calculus Ch. 1.2 Classwork Problems Evaluating limits Graphically
Answer:
8) 1
9) -4
10) -3
11) -1
12) 1
13) doesn't exist
14) 1
15) doesn't exist
Step-by-step explanation:
8) when we approach x=-8 from left and from right, the function tends towards the value 1
9) when we approach x = -7, from the left the function gets towards 0, while when we approach it from the right it gets closer to -4
10) f(-3) = -3
11) When x approaches the value 4 from the left and from the right, f(x) gets closer to -1
12) f(4) is defined as 1
13) f(6) doesn't exist
14) When x approaches 6 from the left and from the right, the function approaches 1
15) When x approaches the value 7 from the left the function gets closer to 2, while when we approach x = 7 from the right the function gets toward 7. Because of this discrepancy, the limit doesn't exist.
What are the features of the quadratic function graphed in the figure? Question 14 options: A) Vertex = (–4,3), y-intercept = (5,0), x-intercepts = (0,1) and (0,5), axis of symmetry is x = –4 B) Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3 C) Vertex = (3,–4), y-intercepts = (1,0) and (5,0), x-intercept = (0,5), axis of symmetry is x = 3 D) Vertex = (–3,4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3
Answer:
B
Step-by-step explanation:
The vertex is the bottom-most point of the curve located at the halfway point. The x coordinate of the point is 3, and the y coordinate is -4. The places at which the quadratic hits the x axis are at (1,0) and (5,0), and it hits the y axis at (0,5).
Vertex = (3,–4), y-intercept = (0,5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = 3. Therefore, option B is the correct answer.
We need to find the features of the quadratic function graphed in the figure.
What is a vertex in the graph?"Vertex" is a synonym for a node of a graph, i.e., one of the points on which the graph is defined and which may be connected by graph edges.
The features of the quadratic function are as follows:
The vertex is the bottom-most point of the curve located at the halfway point. The x -coordinate of the point is 3, and the y -coordinate is -4. The places at which the quadratic hits the x-axis are at (1,0) and (5,0), and it hits the y-axis at (0,5).
Therefore, option B is the correct answer.
To learn more about the quadratic function visit:
https://brainly.com/question/27958964.
#SPJ2
13/2 divided by 3/4
Answer: 26/3
Step-by-step explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Next we cross-cancel.
4 and 2 reduce to 2 and 1.
Multiplying across the numerator and denominators we have 26/3.
Solve 10-5x+1=7x+11-12
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
10−5x+1=7x+11−12
Step 1: Simplify both sides of the equation.
10−5x+1=7x+11−12
10+−5x+1=7x+11+−12
(−5x)+(10+1)=(7x)+(11+−12)(Combine Like Terms)
−5x+11=7x+−1
−5x+11=7x−1
Step 2: Subtract 7x from both sides.
−5x+11−7x=7x−1−7x
−12x+11=−1
Step 3: Subtract 11 from both sides.
−12x+11−11=−1−11
−12x=−12
Step 4: Divide both sides by -12.
−12x
−12
=
−12
−12
x=1
The quotient of 4 and five times t
Answer:
[tex]\frac{4}{5t}[/tex]
Step-by-step explanation:
Quotient means division, and 5 times t is 5t, as we are simplifying. Since 4 comes first in the question or sentence, 4 must be the nominator; therefore, 5t is the denominator.
The answer would then be [tex]\frac{4}{5t}[/tex].
Hope this helped!
Solve. 3 x+2y−z=8 2x+2z=−4 x+3y=4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. ( , , )
Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation:
Solve the following system:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Choose an equation and a variable to solve for.
In the third equation, look to solve for x:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x + 3 y = 4
Hint: | Solve for x.
Subtract 3 y from both sides:
{3 x + 2 y - z = 8
2 x + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute x = 4 - 3 y into the first and second equations:
{3 (4 - 3 y) + 2 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 3 (4 - 3 y) + 2 y - z = 8.
3 (4 - 3 y) + 2 y - z = (12 - 9 y) + 2 y - z = 12 - 7 y - z:
{12 - 7 y - z = 8
2 (4 - 3 y) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 2 (4 - 3 y) + 2 z = -4.
2 (4 - 3 y) + 2 z = (8 - 6 y) + 2 z = 8 - 6 y + 2 z:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{12 - 7 y - z = 8
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Isolate terms with y to the left hand side.
Subtract 12 - z from both sides:
{-7 y = z - 4
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Solve for y.
Divide both sides by -7:
{y = 4/7 - z/7
8 - 6 y + 2 z = -4
x = 4 - 3 y
Hint: | Perform a substitution.
Substitute y = 4/7 - z/7 into the second equation:
{y = 4/7 - z/7
8 - 6 (4/7 - z/7) + 2 z = -4
x = 4 - 3 y
Hint: | Expand the left hand side of the equation 8 - 6 (4/7 - z/7) + 2 z = -4.
8 - 6 (4/7 - z/7) + 2 z = 2 z + ((6 z)/7 - 24/7) + 8 = (20 z)/7 + 32/7:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for z:
{y = 4/7 - z/7
(20 z)/7 + 32/7 = -4
x = 4 - 3 y
Hint: | Isolate terms with z to the left hand side.
Subtract 32/7 from both sides:
{y = 4/7 - z/7
(20 z)/7 = -60/7
x = 4 - 3 y
Hint: | Solve for z.
Multiply both sides by 7/20:
{y = 4/7 - z/7
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute z = -3 into the first equation:
{y = 1
z = -3
x = 4 - 3 y
Hint: | Perform a back substitution.
Substitute y = 1 into the third equation:
{y = 1
z = -3
x = 1
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 1 , y = 1 , z = -3
[tex]1 \frac{3}{4} [/tex]
The square of the number. answer has to be a mixed number
Answer:
[tex]3 \frac{1}{16} [/tex]
Step-by-step explanation:
first lets change the question into proper fraction
[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]
now lets find the square of the number
[tex] { \frac{7}{4} }^{2} = \frac{49}{16} [/tex]
The question says the answer must be a mixed number so lets change it
[tex] \frac{49}{16} = 3 \frac{1}{16} [/tex]
hope u like it ❤️❤️❤️
for any question comment me
Is -5/13 a rational number
Answer:
yes -5/13 is a rational number
-9 would be a part of which group(s)? *
Natural
Whole
Integer
Rational
What is the answer
Answer:
Integer, Rational
Step-by-step explanation:
Natural numbers are the basic counting numbers (1,2,3...) and does not include negatives.
Whole numbers are natural numbers with the addition of zero, and still does not include negatives.
Integers are all whole numbers and their negative counterparts, which includes -9.
Rational numbers are numbers that can be expressed as a fraction and -9 can be expresses as -9/1, so -9 is a rational number.
Hope this helps!
Solve for x.
2x/3 + 1 = 3
x = 1
x = 2
x = 3
x = 6
Answer:
The correct answer is x=3 trust me. Im good at math got 1st place on 1v1 equations in my school hope this helped.
Step-by-step explanation:
Answer:
[tex]\boxed {\tt x=3}[/tex]
Step-by-step explanation:
We want to solve for x, therefore we must isolate the variable.
We are given the equation:
[tex]\frac{2x}{3} +1=3[/tex]
1 is being added to 2x/3. The inverse of addition is subtraction. Subtract 1 from both sides of the equation.
[tex]\frac{2x}{3}+1-1=3-1[/tex]
[tex]\frac{2x}{3} =2[/tex]
2x is being divided by 3. The inverse of division is multiplication. Multiply both sides by 3.
[tex]3*\frac{2x}{3} =2*3[/tex]
[tex]2x=2*3[/tex]
[tex]2x=6[/tex]
x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=\frac{6}{2}[/tex]
[tex]x=3[/tex]
The solution to the equation is x=3.
Solve by factoring plz show all steps need ASAP
I NEED HELP!!!!!! 4x+2x-5=7x-1
Let's solve your equation step-by-step.
4x+2x−5=7x−1
Step 1: Simplify both sides of the equation.
4x+2x−5=7x−1
4x+2x+−5=7x+−1
(4x+2x)+(−5)=7x−1(Combine Like Terms)
6x+−5=7x−1
6x−5=7x−1
Step 2: Subtract 7x from both sides.
6x−5−7x=7x−1−7x
−x−5=−1
Step 3: Add 5 to both sides.
−x−5+5=−1+5
−x=4
Step 4: Divide both sides by -1.
−x
−1
=
4
−1
x=−4
Answer:
x=−4
i hope this helps you
If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two
years?
Answer:
18750
Step-by-step explanation:
so since it's 2 years we have to double 7.5 which is 15%. Then we multiply 15 x 125,000 which is 18,750
After two years of depreciation the house would be worth approximately $106,953.
To calculate the worth of the house after two years of depreciation, you need to apply the depreciation rate for each year.
After the first year, the value of the house would decrease by 7.5%.
So, the worth of the house after one year is:
125,000 - (7.5% of 125,000)
= 125,000 - (0.075 × 125,000)
= 125,000 - 9,375
= $115,625.
Now, to find the worth of the house after the second year, you need to apply the depreciation rate again:
115,625 - (7.5% of 115,625)
= 115,625 - (0.075 × 115,625)
= 115,625 - 8,671.88
= 106,953.
So, the house would be worth approximately $106,953 after two years of depreciation.
To learn more on Depreciation rate click here:
https://brainly.com/question/31180880
#SPJ4
one more than seven times the difference of a number and 4 is equivalent to twice the difference of the number and 1
Answer:
the number is 5
Step-by-step explanation:
We have to find the equation to solve the problem.
Let the number be x
lets write one more than seven times the difference of a number and 4 in mathematical form
1. Difference of number and 4 will be written as x - 4
now
2. seven times the difference of a number and 4 will be written as
7*( x - 4)
3. one more than seven times the difference of a number and 4 is expressed as
1 + 7*( x - 4)
_____________________________________________
1 + 7*( x - 4) is equal to twice the difference of the number and 1
4. difference of the number and 1 is x - 1
5. twice the difference of the number and 1 is 2*(x-1)
Thus,
1 + 7*( x - 4) = 2*(x-1)
=> 1 + 7x - 28 = 2x -2
=> 7x - 27 = 2x - 2
adding 27 both sides
=> 7x - 27 + 27 = 2x - 2 + 27
=> 7x = 2x + 25
subtracting 2x from both sides
7x -2x = 2x + 25 - 2x
=> 5x = 25
dividing both side by 5
5x/5 = 25/5
x = 5
Thus, the number is 5 answer
Using the table given below, find the number of Tourist Resorts per capita in Istanbul. Write your answer as a decimal correctly rounded to 6 places Write your answer above in scientific notation. Example: 2.9x10^-1 OR 5.8E6 City Population Tourist Resorts Beijing 20.035 million 290 Mexico City 21.671 million 348 Istanbul 15.154 million 160 Paris 11.017 million 232
Answer:
0.0000111.1E-5Step-by-step explanation:
In Istanbul, the number of resorts per person is ...
160/(15.154·10^6) = 0.000011 . . . . rounded to 6 places
= 1.1E-5 . . . . in scientific notation
Please help thank youuu
Answer:
D: 61 degrees.
Step-by-step explanation:
right angles add up to 90 degrees.
Answer:
61 degrees
Step-by-step explanation:
29+x=90
x=90-29
x=61
What values of X make the two expressions below equal?
Answer:
A
Step-by-step explanation:
they dont come out the same
In the figure above, triangle ABC is inscribed in the circle with center O and diameter AC. If AB=AO, what is the degree measure of∠ABO?
(A) 15°
(B) 30°
(C) 45°
(D) 60°
Rate of change of rational functions
Answer:
0.635
Step-by-step explanation:
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex]rate~of~change = \dfrac{f(x_2) - f(x1)}{x_2 - x_1}[/tex]
[tex] x_1 = 0 [/tex] [tex]x_2 = 0.3[/tex]
[tex] f(x) = \dfrac{-7x^3}{x^4 - 1} [/tex]
[tex] f(x_1) = f(0) = \dfrac{-7(0)^3}{(0)^4 - 1} [/tex]
[tex] f(x_1) = \dfrac{0}{-1} = 0 [/tex]
[tex] f(x_2) = f(0.3) = \dfrac{-7(0.3)^3}{(0.3)^4 - 1} [/tex]
[tex]f(x_2) = \dfrac{-0.189}{-0.9919} = 0.190543[/tex]
[tex] rate~of~change = \dfrac{0.190543 - 0}{0.3 - 0} = 0.635 [/tex]
The sale price of a swimming pool after a 18.5% discount is $1092.10. Find the original list price of the pool.
Solve 3[-x + (2 x + 1)] = X-1.
X =
Answer:
-2
Step-by-step explanation:
took the test