A total of 511 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 more student tickets sold than adult tickets. How many adult tickets were sold?

The bars in a histogram are not separated because the data being represented is continuous.

A histogram is a graphical representation of the distribution of data. Histograms are used to illustrate the frequency of data values in a set of information. They provide an estimation of the probability distribution of a continuous variable, which is critical for data analysis in numerous fields.

A histogram can be a bar chart with a frequency count, percentage frequency, or density. Histograms are used to visualize continuous data because they represent an estimation of the underlying probability density function of the random variable that produces the data.

Continuous data is quantitative data that can be measured and manipulated in fractions or decimal points. This data is often represented as a line on a graph. Discrete data, on the other hand, can only take on specific values that are distinct from one another.

Examples of discrete data are the number of pets you have or the number of cars in your garage. They can also be represented graphically as a bar graph because the information falls into discrete bins.

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Answer:

Square root of 100.  

Step-by-step explanation:

Step-by-step explanation:

We can write 10 as a fraction 10/1, therefore,\(\sqrt{}\)100   is a rational number.

Part A : A rational no. between 5.2 and 5.5 is 5.3.  

It is rational because it can be expressed in the form  

p/q where p and q are integers and q is not equal to 0, which is 53/10

Part B: A rational no. between 5.2 and 5.5 is 5.29150262213

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

Answer:

Step-by-step explanation:

Square root of all prime numbers is irrational.

97 is an prime number. So √97 is an irrational number.

√98 = \(\sqrt{2*7*7}=7\sqrt{2}\)  is an irrational number.

\(\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}\) is an irrational number

√100 = 10 is a rational number.

Part A:

5.3 is a rational number.

Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal

Part B:

5.3020050......

Irrational numbers are non terminating non repeating numbers

Answer:

33 newspapers per 1 pile.

Step-by-step explanation:

33+33+33=99

Answer:

there would be 33 news papers in each pile

Step-by-step explanation:

when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.

The amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.

To calculate the amount of tip that Ethan receives on every order, we can use the formula:

Tip amount = (Tip percentage) x (Cost of order)

In this case, the tip percentage is `15\%` and the cost of order is the variable we need to find.

Let's assume that the cost of an order is $100. Using the formula above, we can calculate the amount of tip that Ethan receives:

Tip amount = (`15\%`) x ($100)
Tip amount = $15

Therefore, Ethan receives a $15 tip on an order that costs $100.

If the cost of an order is different, we can simply plug in the new value into the formula and calculate the tip amount accordingly. For example, if the cost of an order is $50, the tip amount would be:

Tip amount = (`15\%`) x ($50)
Tip amount = $7.50

In conclusion, to calculate the amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.

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Of the 180 students in a college course, of the 4 1 students earned an a for the course, of the students 3 earned a b for the course, and the rest of the students earned a c for the course. So, 136 students earned a C for the course.

To find the number of students who earned a C in the course, we'll follow these steps:

1. Determine the total number of students in the course.
2. Find out how many students earned an A and how many earned a B.
3. Subtract the number of A and B students from the total to find the number of C students.

We are given that there are 180 students in the course. It is also mentioned that 41 students earned an A and 3 students earned a B.

Now let's perform the calculations:

Step 1: We know that the total number of students is 180.

Step 2: We need to find the combined number of A and B students. We are given that 41 students earned an A, and 3 students earned a B. So, to find the total number of A and B students, we simply add these two numbers:

41 (A students) + 3 (B students) = 44 (A and B students)

Step 3: To find the number of C students, we subtract the total number of A and B students (44) from the total number of students (180):

180 (total students) - 44 (A and B students) = 136 (C students)

So, 136 students earned a C for the course.

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Answer:

y = \(\frac{20}{21}\) x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = \(\frac{20}{21}\)

y = \(\frac{20}{21}\) x² ← equation of proportion

Answer:

C

Step-by-step explanation:

First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by

f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us

f(c(x))

= f(1/2(x))

Let's say f(a) =  f(1/2(x))

Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in

f (-(a))

= f(-(1/2)(x))

= g(x)

Answer: B. The rotation of a line is a pair of parallel lines.

Step-by-step explanation: In geometry, a rotation refers to the transformation of an object around a fixed point called the center of rotation.  When a line is rotated, it does not result in a pair of parallel lines. Instead, a line remains a line after a rotation, but its orientation changes.  A rotation simply changes the direction or angle of the line while keeping its length and shape intact.

On the other hand, a pair of parallel lines refers to two lines in the same plane that never intersect, regardless of any transformations applied to them.  The rotation of a line does not change its parallel nature with any other line.

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The number of distinct sequences of four letters is 240

From the question, we have the following parameters that can be used in our computation:

Word = EQUALS

The above word has 6 letters

If it must begin with L and end with Q, then there are 4 letters remaining

These letters can be arrranged in the following number of ways

4! = 24

Next, we take L and Q as one

So, we have 5 letters i.e. EUAS(LQ)

These letters can be arranged in the following number of ways

5C2 = 5!/(3! * 2!) = 10

So, we have

Total = 24 * 10

Evaluate

Total = 240

Hence, the total number of distance sequences is 240

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Answer:

1, 3, 9, 27, 81, is a geometric sequence.

Step-by-step explanation:

A geometric sequence is basically a sequence of numbers that's multiplied by or divided one specific set number each time.

0, 2, 6, 12, 72, does not have a set number it is multiplied or divided by each time.

4, 9, 14, 19, 24, adds 5 each time, it doesn't multiply

Answer:

D - 1, 3, 9, 27, 81, . . .

Step-by-step explanation:

Answer:

a)(5m+3n)^3 b)(4a-3b)^3

Step-by-step explanation:

a)125m^3+27n^3+225m^2 n+135mn^2

Use the binomial cube formula, a^3+3a^2

b+3ab^2+b^3=(a+b)^3, where a=5m and b=3n.

(5m+3n)^3

b)64a^3-144a^2 b+108ab^2-27b^3

Use the binomial cube formula, p^3-3p^2q+3pq^2-q^3=(p-q)^3, where p=4a and q=3b.

(4a-3b)^3

The missing components of the normal vector in the given form (-4, ____, ___) are (-4, 3, -4).

To find the vector normal to the plane passing through the given three points, we can use the concept of cross product. The cross product of two vectors in three-dimensional space gives a vector that is perpendicular (normal) to the plane formed by the two original vectors.

Let's first find two vectors lying on the plane using the given points. We can choose any two points to form these vectors. Let's choose points (-1, 8, -10) and (-6, 11, -8) to form vector A and B, respectively.

Vector A = (-6, 11, -8) - (-1, 8, -10) = (-5, 3, 2)

Vector B = (-6, 12, -6) - (-1, 8, -10) = (-5, 4, 4)

Now, we can find the cross product of vectors A and B to obtain a vector that is normal to the plane. The cross product is given by the following formula:

\[ \text{Normal Vector} = \begin{pmatrix} A_yB_z - A_zB_y \\ A_zB_x - A_xB_z \\ A_xB_y - A_yB_x \end{pmatrix} \]

Substituting the values from vectors A and B into the formula, we get:

\[ \text{Normal Vector} = \begin{pmatrix} (3 \cdot 4) - (2 \cdot 4) \\ (2 \cdot -5) - (-5 \cdot 4) \\ (-5 \cdot 4) - (3 \cdot -5) \end{pmatrix} \]

\[ = \begin{pmatrix} 4 \\ -6 \\ -5 \end{pmatrix} \]

So, we have the normal vector as (4, -6, -5).

Now, we need to find the missing components of the given form (-4, ____, ___) for the normal vector. Since the x-component of the normal vector is 4, we can write it as (-4, a, b). To find the values of a and b, we can equate the dot product of the normal vector and the given form to zero:

(-4, a, b) · (4, -6, -5) = 0

Using the dot product formula, we have:

(-4)(4) + a(-6) + b(-5) = 0

-16 - 6a - 5b = 0

Simplifying the equation, we get:

6a + 5b = -16

Now, we can solve this equation to find the values of a and b. There are infinitely many solutions for a and b that satisfy this equation, so we can choose any suitable values. For example, let's choose a = 3 and b = -4:

6(3) + 5(-4) = -16

18 - 20 = -16

Hence, the complete vector normal to the plane, in the given form (-4, ____, ___), is (-4, 3, -4).

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Answer:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

Step-by-step explanation:

Expand the left side, group like terms on both sides, and get

(2a)x + 3a = 10x + 15

To be true for all x, equate like terms from both sides and get

2a = 10

3a = 15

Solution: a = 5

You can test the answer.

x is greater than eleven thirds.

Inequality are expression that have <, > , ≤ and ≥ .

Therefore,

1 / 5 (5x) + 10 + 5x > 32

Hence,

1 / 5 × 5x + 10 + 5x > 32

x + 10 + 5x >32

combine like terms

x + 10 + 5x >32

x + 5x + 10 > 32

Therefore,

x + 5x + 10 > 32

6x + 10 > 32

subtract 10 from both sides

6x + 10 - 10 > 32 - 10

6x > 22

divide both sides by 6

x > 22 / 6

x > 11 / 3

Therefore, x is greater than eleven thirds.

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The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Answer:

6 people

Step-by-step explanation:

$230 - $8 = $222

x · 35.75 = 222

x · 35.75 ÷ 35.75 = 222 ÷ 35.75

\(x=6\frac{30}{143}\)

Answer:

i can't see that

Step-by-step explanation:

plzz sent me a clear photo

Answer:

1. 1

2. 1  ⋅  10 ^24

3. 1000000000

4. 1

5. 1  ⋅  10 ^20

6. 1  ⋅  10 ^30

7. 1  ⋅  10 ^27

8. 10000

9. 0.01

10. 0.0001

11. 0.1

Hopefully these are right, I simplified all of the problems...sorry if they are wrong

Step-by-step explanation:

The probability of picking a red ball is 2/3.

As given in the student question,

The probability that a randomly selected person would be a protestant and at the same time be a democrat or a republican is not given in the problem statement.

Hence, it cannot be determined without further information.

Probability is the branch of mathematics that deals with the study of uncertainty.

It provides a framework for analyzing random events that occur in the real world.

Probability helps us to estimate the likelihood of a particular event occurring. It helps us to make informed decisions when faced with uncertain outcomes.

It plays a critical role in many fields such as science, engineering, economics, and finance.

Probability formula:

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.

The formula for probability is given by:

P (A) = Number of favorable outcomes/ Total number of outcomes

where P (A) represents the probability of event A.

Example:

Suppose we have a bag containing 10 red balls and 5 blue balls.

The total number of outcomes = 10 + 5 = 15

The number of favorable outcomes = 10P (Red ball) = 10/15 = 2/3

Therefore, the probability of picking a red ball is 2/3.

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The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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Answer:

37.916667%

Step-by-step explanation:

455/1200 = 0.37916667

0.37916667 * 100 = 37.916667%

The percentage of all the students who said that their favorite sport was hockey was 37.9%

There are 1,200 students in total and out of these, 455 claim that hockey is their favorite sport.

To find the percentage that this is, use the formula:

= Number of students who like hockey / Total number of students x 100%

= 455 / 1,200 x 100%

= 37.9%

In conclusion, 37.9% of the students have hockey as their favorite sport.

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Answer:

0 0 3 4

Step-by-step explanation:

which number starts with 11 from the list?

110

110

113

114

The 11 is the stem and the last numberis the leaf

Answer:

£42.04

Step-by-step explanation:

To make 1 sandwich, she needs 1 bread roll and 2 cheese slices.

To make 100 sandwiches, she needs 100 bread rolls and 200 cheese slices.

1 pack of bread rolls has 15 rolls.

100/15 = 6.66...

She needs to buy at least 7 bags of bread rolls.

1 pack of cheese slices has 20 cheese slices.

200/20 = 10

10 bags of cheese slices will make 100 sandwiches.

To make more than 100 sandwiches, she needs to buy at least 11 bags of cheese slices.

11 * 20 = 220

To have twice as many cheese slices as bread rolls, she would have to buy at least 110 rolls.

We need to find the least multiple of 20 that is also a multiple of 15, and that is greater than 220.

20 = 2 * 2 * 5

15 = 3 * 5

LCM = 2 * 2 * 3 * 5 = 60

The LCM of 15 and 20 is 60, but that is less than 220, so we find multiples of 60 until the first one that is greater than 220.

60

60 * 2 = 120

60 * 3 = 180

60 * 4 = 240

She will buy 240 cheese slices and 120 bread rolls.

240 cheese slices / 20 per bag = 12 bags cheese slices

120 bread rolls / 15 per bag = 8 bags bread rolls

12 bags cheese slices * £2.23 = £26.76

8 bags bread rolls * £1.91 = £15.28

£26.76 + £15.28 = £42.04

Answer:

c) 21

Step-by-step explanation:

\( \sqrt{169} + \sqrt{64} \)

13+8

answer is 21

Answer:

Step-by-step explanation:

0.4375

Answer:

6.25%of 112 is 7

Step-by-step explanation:

hope it helps you

The statement "Let A € R be non-empty and r e R be such that for all a € A, I" is incomplete and does not make sense as it stands. It seems like there may be some missing information or incomplete sentence.

It appears that you have a set A, which is a subset of real numbers (R), and a real number r with some property related to elements of A. However, the complete property or relationship is missing.Without further information or context, it is not possible to give a long answer to this question. It is important to ensure that questions are clear and complete in order to receive an accurate and helpful response To provide a more specific answer, we would need to know the exact relationship between r and the elements of A.

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Answer:

below

Step-by-step explanation:

the perpendicular line bisects the side. so x=√11/2

The simplified form of the given expression is 3x+5y+4. Here only the constants are simplified since there are no like terms in the expression.

The given expression which is to be simplified is 6+3x-6+4+5y.

Here to simplify the given expression, we need to add or subtract the like terms.

In the given expression, the variables x and y.

They are unlike terms. So, we cannot add or subtract them. But there are three constants. Then, we can add or subtract them.

Thus, the simplified expression for the given expression is

6+3x-6+4+5y = 3x+5y+4

Here 6 and -6 are added so that we get 0.

Hence the answer is 3x+5y+4.

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If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

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Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

Answer:

c = number of chimes

12c = amount gotten from the sale of the chimes.

To make a profit what she gets from the sales must be greater than her expenses.

12c > 530

c > 44.166666

She must sell each chime for more than 44 an one-sixth cent.

Step-by-step explanation:

Answer:

2 Pi

Step-by-step explanation:

Notice that the shape is made of:

● 1 square with a side of 1 meter length

● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The square is inside so it isn't necessary to calculate the perimeter.

The perimeter of a circle is:

P' = d × Pi

We have 4 half-squares wich means two circles

So the total perimeter is:

● P = 2×P'

● P = 2 × d × Pi

● P = 2 × 1 × Pi

● P = 2Pi