Help me solve please 5 I’ve attached questions A-D that need to be answered as well
Answers
Given:
The number of students like Wolfgang Amadeus Mozart = 36
The number of students like Ludwig von Beethoven = 35
The number of students like Franz Joseph Hayden = 30
The number of students like Mozart and Beethoven = 14
The number of students like Mozart and Hayden = 21.
The number of students like Beethoven and Hayden = 14.
The number of students like all three composers = 9
Required:
We need to draw a ven diagram for the given information.
Explanation:
Let M be the set of students that like Mozart, B be the set of students that like Beethoven, and H be the set of students that like Hayden.
a)
We need to find the number of students like exactly two of these composers.
We know that
M and B =14
B and H =14
M and H =21
\(n(M\cap B)=14,\text{ }n(B\cap H)=14,\text{ and }n(M\cap H)=21\)The number of students like exactly two of these composers.
\(n(M\cap B)+n(B\cap H)+n(M\cap H)=14+14+21=49\)49 students like exactly two of these composers s
b)
We need to find the number of students like exactly one of these composers.
We know that
\(n(M)=36,\text{ }n(B)=35,\text{ }n(H)=30,\text{ n}(M\operatorname{\cap}B)=14,\text{ n}(B\operatorname{\cap}H)=14,n(M\operatorname{\cap}H)=21,\text{ and }n(M\cap H\cap B)=9.\)\(n(M\cup B\cup H)=m(M)+\text{ }n(B)+n(H)-n(M\operatorname{\cap}B)-\text{n}(B\operatorname{\cap}H)-n(M\operatorname{\cap}H)+n(M\cap H\cap B)\)\(n(M\cup B\cup H)=36+35+30-14-14-21+9.\)\(n(M\cup B\cup H)=61\)The number of students like the composers =61.
c)
We need to find the number of students who do not like these composers.
We know that
\(n(M)=36,\text{ }n(B)=35,\text{ }n(H)=30,\text{ n}(M\operatorname{\cap}B)=14,\text{ n}(B\operatorname{\cap}H)=14,n(M\operatorname{\cap}H)=21,\text{ and }n(M\cap H\cap B)=9.\)\(n(M\cup B\cup H)=m(M)+\text{ }n(B)+n(H)-n(M\operatorname{\cap}B)-\text{n}(B\operatorname{\cap}H)-n(M\operatorname{\cap}H)+n(M\cap H\cap B)\)\(n(M\cup B\cup H)=36+35+30-14-14-21+9.\)\(n(M\cup B\cup H)=61\)The number of students like the composers =61.
The total number of students = 64
The number of students who do not like composers=64-61 =3
3 students like none of the composers.
d)
We need to find the number of students who like Mozert but neither like Beethoven and Hayden.
\(n(M)-n(M\cap B)-n(M\cap H)+n(M\cap H\cap B)\)Substitute know values.
\(n(M)=36,\text{ n}(M\operatorname{\cap}B)=14,n(M\operatorname{\cap}H)=21,\text{ and }n(M\cap H\cap B)=9.\)\(=36-14-21+9=10\)10 students who like Mozert but neither like Beethoven and Hayden.
Final answer:
a) 21
b) 61
c) 3
d) 10
Related Questions
If the nurse to patient ratio is 3:15, how many nurses would you expect to see in a unit with 37 patients?
Answers
in order to find how many nurses would care for 37 patients, we can divide by 5.
37/5 = 7.4 nurses.
however, we cannot have .4 of a nurse, so you can either say 7 nurses or 8 nurses, but 7.4 rounds down to 7.
a laptop has listed a price of $807.99 before tax if the sales tax rate is 8.75% find the total cost of the laptop with the sales tax include round your answer to the nearest cent as necessary
Answers
Answer:
Step-by-step explanation:
70.699125
A rectangle has a width of w . Its length is 4 more than twice the width. what is the area
Answers
Answer:
if the width is W and the length is 4 more of twice the width therefore the length is 2W+4
area = length × width
= 2W+4×W
=2W+4
3x-30=0
why does it equal 0 and how would I solve for it
Answers
Answer: the reason why 3x - 30 = 0 is because x = 10
Step-by-step explanation:
3x - 30 = 0
first we try to get the value of x
so
3x = 30
x = 30/3
x = 10
so the reason why 3x - 30 = 0 is because x = 10
to confirm this
we substitute the value of x=10 into the equation
3x - 30 = 0
3*10 - 30 = 0
30 - 30 = 0
The width of a rectangle is 8 inches less than the length. The perimeter is 48 inches. Find the length and the
width.
The length is
* inches and the width is
* inches.
Answers
Let width be x
Length=x+8\(\\ \rm\longmapsto 2(x+x+8)=48\)
\(\\ \rm\longmapsto 2x+8=24\)
\(\\ \rm\longmapsto 2x=24-8=16\)
\(\\ \rm\longmapsto x=\dfrac{16}{2}=8\)
Answer:
Let the required width of the rectangle be x inches and the length of the rectangle be (x+8) inches
Perimeter of the rectangle is 2 ( length + width )
According to the above problem, we get
\(2[(x + 8) + x] = 48 \\ 2(2x + 8) = 48 \\ 4x + 16 = 48 \\ 4x = 48 - 16 \\ 4x = 32 \\ x = \frac{32}{4} \\ \boxed{ x = 8}\)
Therefore,
The length of the rectangle is 16 inches and the width of the rectangle 8 inches.
Can someone do 8, and 9 pls
Answers
All they're asking for are your goals.
The best thing to put for 8. would be:
"I'd like to get better at my math so I don't have so much trouble and would have to ask. I'd like to be able to figure my work out myself!" Or something.
9?.
all you need to put (maybe) would be:
"Yes, I usually work on my homework at [the time you usually start your homework], and I usually work alone."
or,
"No, I usually work on my homework when I feel like it, or before I go to bed, and my parent (or guardian, sibling, friend), help me with some of the questions."
I hope that helped.
QUESTION 1 Determine the general solution of: 2 sin x. cos x = COS X
Answers
Starting with the given equation: 2 sin x cos x = cos x
By dividing both sides by cos x, we may simplify: 2 sin x = 1
Dividing both sides by 2:
sin x = 1/2
The values of x that fulfil sin x = 1/2 must now be found, and they are:
x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.
Therefore, the general solution is:
x = π/6 + 2πn or
x = 5π/6 + 2πn, where n is any integer.
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⅔ x - 3 ⁄ 2 x = 2
please help me with this
Answers
Answer:
x = -2
Step-by-step explanation:
2/3x - 3/2x = 2
-2/3 × 3/2x = 2
-1/3 × 3x = 2
-x = 2
x = -1 × 2
x = -2
Answer:
x = - \(\frac{12}{5}\)
Step-by-step explanation:
\(\frac{2}{3}\) x - \(\frac{3}{2}\) x = 2
Multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
4x - 9x = 12
- 5x = 12 ( divide both sides by - 5 )
x = - \(\frac{12}{5}\)
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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In 2005 an area vocational school had an enrollment of 325 men and 123 women. In 2006 there were 149 women. what was the percent increase of women students. The answer should be rounded to the nearest whole percent
Answers
The nearest Whole percent, the percent increase of women students is approximately 21%.
The percent increase of women students, we need to compare the number of women students in 2005 and 2006.
In 2005, the number of women students was 123.
In 2006, the number of women students was 149.
To find the increase, we subtract the initial value (2005) from the final value (2006):
Increase = Final Value - Initial Value
Increase = 149 - 123
Increase = 26
Next, we need to calculate the percent increase. The percent increase is given by the formula:
Percent Increase = (Increase / Initial Value) * 100
Plugging in the values:
Percent Increase = (26 / 123) * 100
Calculating the percent increase:
Percent Increase ≈ 21.14%
Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.
Therefore, the answer is 21%.
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Aubrey spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -4.6°F. Between 9am and noon, the temperature increased by 4.2°F. Between noon and 3pm, the temperature went down 8.3°F. Between 3pm and 6pm, the temperature decreased by 6.9°F. What was the temperature at 6pm?
Answers
The temperature at 6pm is 15. degrees F if Aubrey spends a winter day recording the temperature once every three hours for science class.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
Aubrey spends a winter day recording the temperature once every three hours for science class.
The temperature between 9 am and noon:
= -4.6 + 4.2
= -0.4 degree F
Between noon and 3pm, the temperature went down 8.3°F.
= -0.4 - 8.3
= -8.7 degrees F
Between 3pm and 6pm, the temperature decreased by 6.9°F.
= -8.7 - 6.9
= 15. degrees F
Thus, the temperature at 6pm is 15. degrees F if Aubrey spends a winter day recording the temperature once every three hours for science class.
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Elmo made a 65 potholders each pot holder cost him $1.65 to make if he sells each pot holder for $2.12 how many profit will he make?
Answers
Answer:
Step-by-step explanation:
$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.
This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.
Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.
The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.
Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.
In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.
In order for us to calculate Elmo's profit, we need to determine how much he spent to make the potholders and how much he will earn from selling them.
The total cost of making the handles is the product of the number of handles times the cost per unit:
Total cost = 65 potholders × $1.65/potholder = $107.25
The total revenue from selling the handles is the product of the number of handles times the selling price per unit:
Total revenue = 65 potholders x $2.12/potholder = $137.8
Elmo's profit is the difference between total revenue and total cost:
Profit = Total Revenue - Total Cost
Profit = $137.8 - $107.25 = $30.55
Profit = $30.55
Elmo will make a profit of $30.55 by selling 65 potholders.
How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?
A. 12 m
B. 4 m
C. 133 m
D. 245 m
Answers
Answer: C
Step-by-step explanation: I took the test!!
The required distance that the ladder foot away from the base of the wall is √133 meters. Option C is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133
Thus, the required distance that the ladder foot away from the base of the wall is √133 meters.
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I took a picture of the question
Answers
The transformation in the picture is option c Reflection.
Given,
Reflection transformation:
A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.
According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.
Here,
In the picture the transformation is reflection.
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sam runs a large chain of car repair shops. he pays his employees for 8 hours of work each day. the employees have to log the amount of time they spend working on each job, which results in a number of billable hours for each employee each day. sam would like to estimate the mean number of billable hours for the large number of employees at the company. to do so, he selects a random sample of 10 employees and asks them how many billable hours they tend to have each day. from their responses, he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company. which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error?
Answers
Sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.
What is Sampling variation?
The term "sampling variance" describes how much a sample estimate (a statistic) is likely to fluctuate from sample to sample due to the unique nature of each sample.
Sample Sizes and Variability are the factors which lead to sampling variation. As and when the sample size is changed i.e. either increased or decreased, the variability of samples fluctuates.
Since, Sam runs a large chain of car repair shops, this means he has large number of employees.
But his sample size is only of 10 employees whom he asks about their billable hours from which he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company.
Since, sampling variation is greatly affected by the sample size and variability, therefore it will have more impact on confidence interval.
Hence, sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.
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Since the options are missing in the question, here are the options from which answer is to be chosen
response biasnonresponse biassampling variationundercoverage biasWhat is the simple interest if $1,000 is borrowed for 5 years at 5 % interest?
Answers
Step-by-step explanation:
A= $1250
Converting R percent to R a decimal
Ross purchases 3 cookbooks for $18.89 each, a set of measuring cups for $2.68, 4 kitchen utensils for $5.35 each and a cooling rack for $9.60. Ross uses a promotional discount of $5 off on the purchase of 3 or more cookbooks. There are no taxes charged on his purchase, but shipping charges are based on the following table: Amount of Purchase Standard Shipping Express Shipping up to $50 $4.00 $7.00 $50 up to $100 $5.25 $9.50 $100 up to $200 $6.00 $12.75 $200 and over $8.50 $15.00 Ross selects standard shipping and is billed $94.35 for the total of the online purchase. Determine if Ross has been billed correctly for his purchase. a. Ross has been billed correctly. b. Ross has not been charged enough for his purchase. c. Ross has been over charged by $3.75 for his purchase. d. Ross has been over charged by $4.25 for his purchase.
Answers
Answer:
C. Ross has been overcharged by $3.75 for his purchase.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
After a 40% markup, the price is $56. what was the original price?
Answers
Given:
Percentage increase = 40%
New price = $56
Let's find the original price.
To find the original price, we have the formula:
\(\text{New price = Original price(1 + percentage increase)}\)Let x represent the original price.
Input the values into the formula:
\(\begin{gathered} 56=x(1+\frac{40}{100}) \\ \\ 56=x(1+0.4) \\ \\ 56=x(1.4) \\ \\ 56=1.4x \end{gathered}\)Divide both sides by 1.4:
\(\begin{gathered} \frac{56}{1.4}=\frac{1.4x}{1.4} \\ \\ 40=x \\ \\ x=40 \end{gathered}\)Therefore, the original price was $40
ANSWER:
$40
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y ?
Answers
Answer:
A. x = 96 and y = 42
Step-by-step explanation:
The required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.
Given that,
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle as shown in the accompanying diagram what are the values of x and y is to be determined.
A triangle with two sides and two congruent angles that are equal each other is called an isosceles triangle.
Here,
For an isosceles triangle,
The measure of the angle opposite to the equal side is equal, So
y = 42°
Now,
The sum of the angles in the triangle° is equal to 180,
x + y + 42 = 180
x + 42 + 42 = 180
x = 96
Thus, the required measure of the angle x and y is given as x =92° and y = 42°. Option A is correct.
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Which point would map onto itself after a reflection across the line y=-x? O(4,-4) O(4,0) O(0, 4) O (4, 4)
Answers
Answer: well it’s not b or c so I’m guess it (4,-4) if I’m wrong I’m sorry
Step-by-step explanation:
I’m taking it on edge 2020 rn
The point O(4,-4) would map onto itself after a reflection across the line y=-x.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To find out which point would map onto itself after a reflection across the line y=-x, we need to reflect the given points across the line and see which one ends up in its original position.
The reflection of a point (x, y) across the line y=-x is (-y, -x).
Let's apply this formula to each given point:
The reflection of O(4,-4) across y=-x is (-(-4), -4) = (4, -4), which is same as the original point.
The reflection of O(4,0) across y=-x is (0, -4), which is not the same as the original point.
The reflection of O(0,4) across y=-x is (4, 0), which is not the same as the original point.
The reflection of O(4,4) across y=-x is (-4, -4), which is not same as the original point.
Therefore, the point O(4,-4) would map onto itself after a reflection across the line y=-x.
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9. CONSTRUCT AN ARGUMENT Determine
if the following statement is true or false.
Construct an argument to defend your
response.
Proportions can only be used to solve
problems where the smaller values are
known and a larger value is unknown.
Answers
Answer:
Step-by-step explanation:
The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.
solve for the x,y and find the measure of the obtuse angle in the diagram.
Answers
Answer:
7x+34=12x-31
34+31=12x-7x
65=5x
x=13
Step-by-step explanation:
u can put the values and solve now
13. [-/1 Points]
DETAILS
AUFEXC4 9.2.039.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
A management consulting firm recommends that the ratio of middle-management salaries to management trainee salaries be 9:4. Using this recommendation, what is the annual middle
management salary if the annual management trainee salary is $24,000? (Round your answer to the nearest dollar.)
Enter a number
Answers
Answer:
67500
Step-by-step explanation:
you would set up the equation:x/y=5/4
A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?
(0, 4), (0, 2), (2, 3)
(4, 0), (4, -2), (6, -1)
(4, 8), (4, 6), (6, 7)
(8, 4), (8, 2), (10, 3)
Answers
Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.
The original vertices are:
(4, 4), (4, 2), and (6, 3)
Subtracting 4 from the x-coordinates, we get the new vertices:
(0, 4), (0, 2), and (2, 3)
To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:
(4,4)
/ \
/ \
(4,2)----- (6,3)
To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.
So, the new x-coordinates of the vertices become:
x-coordinate of (4, 4) - 4 = 0
x-coordinate of (4, 2) - 4 = 0
x-coordinate of (6, 3) - 4 = 2
The y-coordinates of the vertices remain the same.
Therefore, the new vertices of the triangle are:
(0, 4), (0, 2), and (2, 3)
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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?
A. (0, 4), (0, 2), (2, 3)
B. (4, 0), (4, -2), (6, -1)
C. (4, 8), (4, 6), (6, 7)
D. (8, 4), (8, 2), (10, 3)
0.4x10
Help•••••••••••••
Answers
Answer: 4
Step-by-step explanation:
multiplying by 10 = move over 1 10s place so 0.4 * 10 = 4
Answer:
4
Step-by-step explanation:
0.4 x 10 = 4.0
PLEASE HELP !!!!!! 50 POINTS !!!!!!!
Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 330° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 330° using the sine difference identity. Be sure to include all necessary work. (5 points)
Answers
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answers
Answer: C
Step-by-step explanation:
Of 92 cars making up a freight train 49 are boxcars A:how many of the cars are not boxcars B: what fraction of the cars are not boxcars
Answers
A) If out of 92 cars in the train 49 are boxcars, then 92-49 = 43 cars are not boxcars.
B) We can calculate the fraction of the cars that are not boxcars as:
\(f=\frac{43}{92}\approx0.4674\)Answer:
A) 43
B) 0.4674
solve for y. 9x+5y=7
Answers
Answer:
9x + 5y = 7
5y = -9x + 7
y = -9x + 7
------------
5
(-3-√80)/6
please simplify
Answers
(-3 - 4√5)/6