A survey of 123 college students was done to find out what elective courses they were taking. Let A = the set of those taking art, B = the set of those taking basketweaving, and C = the set of those taking canoeing. The study revealed the following information. n(A) = 45 n(A ∩ B) = 12 n(B) = 55 n(A ∩ C) = 15 n(C) = 40 n(B ∩ C) = 23 n(A ∩ B ∩ C) = 2 How many students were not taking any of these electives?

Answer:

Volume? Surface area?

Step-by-step explanation:

Volume=8491.59

Surface area=5647.93

Answer:

x<3

Step-by-step explanation:

--add 18--

\(4x-18+18<-x-3+18\)

--simpifly--

\(4x<-x+15\)

--add x--

\(4x+x<-x+15+x\)

--simpifly--

\(5x<15\)

--divide both side by 15--

x<3

sorry for late

<3

Red

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Answer:

5/2 hope this helps

Step-by-step explanation:

took it on apex :)

Answer:

Step-by-step explanation:

770

Answer:

• 1 container contains =55ml

• So 18 container contains

• 18ml multiply to 55 =

• 990 Answer.

The given figure is a parallelogram. The opposite angles of a parallelogram are congruent.

From the information given,

angle E and angle G are opposite

Thus,

94 = 11x + 6

11x = 94 - 6 = 88

x = 88/11

x = 8

Answer:

1

Step-by-step-explanation:

1000-531=469

469-315=154

154-153=1

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:she has 20 pennies because

Step-by-step explanation:80 divide by 4 = 20

Answer:

84

Step-by-step explanation:

is                    x           140

----   SO ...    -------  =  --------

of                  60         100

(hit like pls)

60*140=100x

8400=100x

/100     /100

-------------------

   84 = x

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

Reason:

We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,

2x+10 = 0

2x = -10

x = -10/2

x = -5

Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Answer:

i think the answer might be w=3+1/4

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

☁️ Answer ☁️

Here's what I found:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Here's the link:

https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.

Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho

(Just remove the space)

Hope it helps.

Have a nice day noona/hyung.

Answer:

Well I‘ll try verbal explanation, if you still don’t understand, jsut leave a comment and Ill put some images up.

Step-by-step explanation:

Alright so in order to find a slop of a graph theres a rise and run feature for every plot on the point thats exactly on a number.

The rise is going up, the run is going right.

So in order to find the slope of a semi easy graph, start by looking for a point plotted on the line thats exact and you have to rise first untill you see another plot and then run to that point, The amount of times you raised is your numerator and the amount ran is the denominator.

For hard graphs locate 2 points that are exact.

Then you follow the equation for every slope which is

(y2-y1 / x2-x1)

So for example you have the points (1,2) and (3,6)

y1= The first y coordinate given (the first part of the pair)

y2= The second y-coordinate given (the second part of the second pair)

x1= The first x coordinates given

x2= the second x coordinate given

so if we use the previous example stated above (1,2) and (3,6)

y1= 2

y2= 6

x1= 1

x2=3

Now use the formula (y2-y1 / x2-x1)

Subsitute

6-2 / 3-1

4/2

the slope would be 2.

This formula works for every 2 points given.

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

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The complete question is: Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

a. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c. Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

d. Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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a2 + b2 = c2 can be use to find missing lengths of the right triangles

The percent sales tax is 7.05%.

Given that;

The listed price of the pair of pants = $20

But the price with tax came to $21.40.

We have to find the percent sales tax.

What is Percentage?

Percentage is a relative value indicating hundredth parts of any quantity.

Now, The listed price of the pair of pants = $20

But the price with tax came to $21.40.

Hence, The percent sales tax is calculated as;

⇒ (21.40/20) x 100 = 107.05

So, The percent sales tax = 107.05 - 100 = 7.05%

Therefore, The percent sales tax is 7.05%.

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We will solve as follows [In order]:

Kiley's house is our reference. The airport is at 24.3 miles of distance, and it took 0.5 hours to reach there. So, on the y-axis, you have to find 24.3 and on the x-axis, you have to find 0.5, and then connect that point with Kile's house, which is at Origin.

Answer:  5 problems correct

Work Shown:

20% of 25 = 0.20*25 = 5

Answer:

5

Step-by-step explanation:

25*.2=5

or you can express 20% as a fraction which would be 20/100 so the equation would look like this:

(20*25)/100=500/100=5

Answer:

Mr. Lipps would expect it to land on heads 10 times

Step-by-step explanation:

hope this helps :)

Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".

To answer this question, we need to use the data from the MemphisSnowfall.xls file and create a normal probability plot, a histogram, and a boxplot using Excel or StatCrunch. Then, we need to determine if the data is "normal" or "not normal".

a. To create the normal probability plot using Excel, follow these steps:
 

b. To create a histogram using Excel, follow these steps:
 

c. To create a boxplot using Excel, follow these steps:
 

d. To determine if the data is "normal" or "not normal", we need to look at the normal probability plot, the histogram, and the boxplot. If the normal probability plot is a straight line, the histogram is bell-shaped, and the boxplot is symmetric, then the data is "normal". If the normal probability plot is not a straight line, the histogram is not bell-shaped, and the boxplot is not symmetric, then the data is "not normal".

Based on the normal probability plot, histogram, and boxplot that we created, we can conclude that the data is "normal" or "not normal".

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Step-by-step explanation:

if AD =17,then Dc is also 17 because from the diagram,it is given that AD=DC.

And because AD and DC are equal,it means AC = AD +DC,therefore AC = 17+17,AC =34

AC=2y-6

therefore

34=2y-6

28=2y and y=14

Answer:

Step-by-step explanation:

Answer:

2760

Step-by-step explanation:

I really don't know I just did 32x120