The following table shows the relationship between the cost of tickets to an amusement park and the number of people going to the park. Which graph best models the relationship in the table?

Answer: 10440165 ==> sum of sequence

Step-by-step explanation:

4569+1=4570

4570/2=2285==> Average number in the sequence

4569-1+1=4569 numbers in the sequence. I find the number of numbers in the sequence by subtracting the last number in the sequence by the first number in the sequence (4569-1) and adding 1 to the difference.

2285*4569=10440165 ==> sum of sequence

Number of At-the-Door tickets Anna needs to sell to make her goal = 100

Anna is selling pre-sale and at-the-door tickets.

Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.

Price of a pre-sale ticket = $10

Price of an at-the-door ticket = $20

Total price to be raised = $5000

So the equation corresponding is 10x+20y = 5000-----------(1)

Total number of people the venue can hold = 400

Thus the next equation is x+ y = 400---------(2)

From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.

The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.

So to find x and y we need to solve equations (1) and (2).

10 x (2) ⇒ 10x+10y = 4000-------(3)

Now subtract (3) from (1)

⇒ 10y = 1000

⇒ y = 100

Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100

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Answer:

b

Step-by-step explanation:

The location of the point A' after dilation is; A'(-10, 15)

We are given that the Quadrilateral BASE is located at the following coordinates;

B(3, 4), A(-2, 3), S(4, 0), and E(-2, 5).

Now, if it is dilated by a scale factor of, it means that each of the coordinates values would be multiplied by 5 to get the new coordinates as;

B'(15, 20), A'(-10, 15), S'(20, 0), and E'(-10, 25).

Thus, we can conclude that the location of the point A' after dilation is; A'(-10, 15)

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The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow Six Sigma quality tolerances or standards is referred to as the

Six Sigma process

The phrase "Six Sigma" refers to a collection of quality-control methods that organisations can utilise to get rid of flaws and enhance operations so as to increase productivity and revenues. A scientist created it in the 1980s while he was employed by Motorola.

A statistical and data-driven technique called Six Sigma examines small errors or flaws. It places a focus on cycle-time gains while lowering manufacturing faults to no more than 3.4 incidents per million units or events. The fact that only 3.4 out of a million events along a bell curve will deviate by more than six standard deviations indicates that an error usually occurs with an event that deviates by six standard deviations from the mean.

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The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.

Pollution:

The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.

Given,

A manufacturing company has decided to be carbon free by 2030.

Here we need to find the solution to achieve this goal.

To achieve this goal the company can take many measures this includes,

To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.

By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.

And by planting more and more trees, the amount of oxygen in our environment should be increased.

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Answer: 1 and 26

Step-by-step explanation:

3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

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Proportion of females who have less than 3 close friend working note

What is the statistical median?

(a) Mean =1.04

Median=1

assuming the number of close friends as a whole value, our mean is also 1.

the distribution is roughly symmetric. because mean is approximately equal to median.

The explanation is provided in the image attached above;

Answer (b)Median number of a close friend for females is 1.

The calculation for median is provided in the image.

Answer(c) According to the shape of the distribution as we have observed from the data we can say that the median calculated for close friends of females is the same as the mean number of close friends for men.

Here we are not assuming the number of close friends in decimal(because it is not a continous variable).

Answer (d) P(less than 3)  = P(0)  +  P(1)  + P(2)

= 0.353+0.368+0.191=0.912

Proportion of females who have less than 3 close friend

working note:

m= mean =1.04

probability = ( e-m  x  mr)  /   r

P(0)   =  (e-1.04  x  1.040 )   /  0  = 0.353

P(1)   =  (e-1.04  x  1.041 )  /  1  = 0.368

P(2)   = (e-1.04  x  1.042 )  /  2  =  0.191

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The complete question is -

The following table reports counts of the number of "close friends" reported by a sample of men and a sample of women. Number of close friends 0 1 2. 3 4 Total Number of male respondents 20 12 10 5 N 49 Number of female respondents 25 13 9 6 2 2 55 a. Is the distribution corresponding to the number of female respondents roughly symmetric, skewed to the right, skewed to the left? Explain. b. Calculate the median number of close friends for females. Round your answer to two decimal places c. Based on the shape of the distribution (and only accounting for the number of close friends for females), do you expect the median calculated in part b. to be greater than the mean, smaller than the mean, or about the same as the mean number of close friends for men? Do not calculate the mean. d. What is the proportion of females who say they have less than 3 close friends? Give an exact answer.

The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.

The act of converting mathematical equations into a specified statement is known as equation to sentence transformation.

The mathematical equation is given below.

r² - 15 = t + 19

In the above equation, there are two variables that are 'r' and 't'. Then the mathematical equation can be converted into a sentence as,

The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.

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The required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.

A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.

Given:

The given equation is

[tex]r^{2}[/tex]-15 = t+19

According to given question we have

The expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.

Therefore, the required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.

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The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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Answer: x=0.5, y=1

Step-by-step explanation:

-4x+3y=1

6x-y=2

6x-2=y

-4x+3(6x-2)=1

-4x+18x-6=1

-4x+18x=7

14x=7

x=0.5

6x-y=2

6(0.5)-y=2

3-y=2

y=1

Let's change the equation,

→ 6x - y = 2

→ y = 6x - 2

Then the value of x will be,

→ -4x + 3y = 1

→ -4x + 3(6x - 2) = 1

→ -4x + 18x - 6 = 1

→ 14x = 1 + 6

→ x = 7/14

→ [ x = 1/2 ]

Hence, the value of x is 1/2 (or) 0.5.

Now the value of y will be,

→ y = 6x - 2

→ y = 6(1/2) - 2

→ y = 3 - 2

→ [ y = 1 ]

Hence, the value of y is 1.

Answer:

6 Hours = 0.0357 Weeks

Rounding off o nearest hundredth we get
=> 0.36

All done!

Step-by-step explanation:

In this equation, given

f(x) = 3x + 9 and g(x) = 5x -1

So the question is what is the value of f if we put the value of g(x) in f(x)

So to solve the equation we need to replace the value of x in f(x) with g(x)

So it was obtained as below

f(g(x)) = 3(5x-1) + 9

= (15 x - 3) + 9

= 15 x + 6

Answer:

50

Step-by-step explanation:

2(9)+10

3(9)-5

18+10=28

27-5 =22

28+22=50

Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3

Step-by-step explanation:

Answer:

0.8r

Step-by-step explanation:

r - 0.2r = 1r - 0.2r = (1 - 0.2)r = 0.8r

Answer:

0.8r

Step-by-step ex

took test

Answer:/

Step-by-step explanation:

The required probability that they differ in length by more than 10 cm is 1.

Given that,
A hardware store sells planks of wood. the lengths, in centimeters, of the planks are normally distributed with a mean of 210 and a standard deviation of 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

The
P(x > 10) = p(z = (x - μ)/σ)
P(x > 10) = p(z = (10 - 210)/7)
P(x > 10) = p(z = -28.57143)
P(x > 10) = 1

Thus, the required probability that they differ in length by more than 10 cm is 1.

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Answer: Yes

Step-by-step explanation: can be written as 6 17/50

Answer: yes because its a terminating number

Answer:

1/2

Step-by-step explanation:

0.5 is half of 1 so 1/2 is 0.5 as a fraction

I will use the example that they gave to describe the method

First, you need to find the difference between the new amount and the original amount. The new one is 30, while the original one is 24, so the original amount incrased by 6.

Now, you take the difference that you got, and divide it by the original amount. 6 : 24 = 1/4, or 25%. So, the percentage increase is 25%

Applying the same for the others :

32 -> 56 (increased by 24, 24:32 = 3/4 -> 75%)
15  -> 18  (increased by 3, 3:15 = 1/5 -> 20%)
30 -> 33 (increased by 3, 3:30 = 1/10 -> 10%)
150 -> 153 (increased by 3, 3:150 = 1/50 -> 2%)
120 -> 126 (increased by 6, 6:120 = 1/20 -> 5%)
200 -> 202 (increased by 2, 2:200 = 1/100 -> 1%)

Answer:

x= 12

Step-by-step explanation:

6x = 72 (÷6)

6x/6 = 72/6

x = 12

Answer:

1 and 1/6 or 7/6

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

=5/6+2/6

=5/6+1/3

7/6

Answer:

Q=-8

Step-by-step explanation:

Q-2-6

The correct option is C. Quantitative Continuous

The type of variable would their response be considered is Quantitative Continuous Variable.

Quantitative variables describe some aspect of the individual and are frequently measured (for example, body mass is evaluated with a scale) or counted (for example, the number of needle punctures necessary to receive the biopsy specimen has been counted).

A quantitative variable could be discrete or continuous. A continuous variable can theoretically take on any value under an interval.

Some key features regarding the Quantitative Continuous Variable are-

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The complete question is-

The following five questions are focused around a startup company. Management is trying to gain insight on current employees and have sent out a short anonymous survey to them. Read each prompt carefully and determine the variable type for each question.

Employees were asked to report their typical daily commute time, in minutes. What type of variable would their response be considered?

A. Categorical Nominal

B. Categorical Ordinal

C. Quantitative Continuous

D. Quantitative Discrete

Answer:

1) 60 miles per hour (60.00, if rounded)

2) 152 customers per day (150, if rounded)

3) 3.5 meters per second (3.50, if rounded)

4) 1.48 dollars per pound (1.48, if rounded)

5)  0.4825 dollars per pair (0.48, if rounded)

( shown work in screenshots, 1-5; magnify it to see better :D )

Using translation concepts, we have that:

a) The parent function is f(x) = |x|.

b) The transformations were a reflection over the x-axis, vertical stretch by a factor of 2 and a shift down of 3 units.

c) The graph is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent function is given by:

f(x) = |x|.

The transformations are given as follows:

The graph of the two functions, the parent(red) and the translated(blue), is given at the end of the answer.

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The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft. Length and width of the rectangle is [tex]10ft[/tex] and [tex]3ft[/tex]

As per the question statement, The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft.

We are supposed to find out dimensions of the rectangle.

Let length of the rectangle = l

Width of the rectangle = w

[tex]l = 4 + 2w[/tex]

Perimeter of rectangle = [tex]2(l+w)[/tex]

Above mentioned are the given conditions in the linear equation form.

Perimeter of rectangle = [tex]2(l+w)[/tex] = 26 ft.

[tex]l+w = \frac{26}{2}[/tex]

[tex]l+w =13[/tex]

substituting [tex]l = 4 + 2w[/tex]

[tex]4+2w+w=13\\4+3w=13\\3w=13-4=9\\w=\frac{9}{3}[/tex]

[tex]w=3[/tex]

Hence width is 3ft.

Now length,  [tex]l = 4 + 2w[/tex]

[tex]l=4+2*3\\l=4+6\\l=10[/tex]

And length is 10ft.

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