Durante un entrenamiento, un ciclista da una vuelta a una pista circular en 105 segundos, mientras que otro tarda 60 segundos. Si ambos inician sus recorridos juntos, ¿en cuántos segundos será la próxima vez que coincidan en el punto de inicio?

We get the cumulative frequency as:

                3

                7

               13

               22

               29

               36

               37

We are given the data:

Daily Low(°F)    Frequency

 35 - 39                    3

 40 - 44                    4

 45 - 49                    6

 50 - 54                    9  

 55 - 59                    7

 60 - 64                    7

 65 - 69                     1

We have to find the cumulative frequency of the data.

We will do this by adding the data values of previous interval.

Daily Low(°F)    Frequency     cumulative frequency

 35 - 39                    3                              3

 40 - 44                    4                              7

 45 - 49                    6                             13

 50 - 54                    9                             22

 55 - 59                    7                             29

 60 - 64                    7                             36

 65 - 69                    1                              37

Therefore, we get the cumulative frequency as:

                3

                7

               13

               22

               29

               36

               37

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Yes, The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Here,

We have to find the statement,

''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true or not.

What is Descriptive statistics?

Descriptive statistics is a means of describing features of a data set by generating summaries about data samples.

Now,

The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Because : Descriptive statistics refers to the summary of important aspects of a data set.

Hence, The statement ''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true.

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Answer: Continuous data

Step-by-step explanation:

1. The balloon's average rate of descent is 19 meters per second.

2. The average rate of change of price of one share is $7.896.

3. 0.5 and 0.4286

1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:

= 95 meters / 5 seconds

= 19 meters per seconds.

2. Price of shares = $39.48

Number of days = 5 days

The average rate of change of price of one share will be:

= 39.48 / 5

= $7.896

3. The decimal value of 1/2 is 0.5.

Also, the decimal of 3/7 will be 0.4286.

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Answer:

1

Step-by-step explanation:

Answer:

For High School A, let  denote the number of students after  years. Define  analogously.

Then  and .

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let  denote the number of students after  years. Define  analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that .

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that .

Setting the two equations equal to each other, we see that

So after 6 years the number of students in both high schools would be the same.

Answer: the pattern grows by one square being added to the figure before it. I know because when I count the squares on figure one to three I count one block being added to each side.

Step-by-step explanation:

Answer: The solution to |14|-|-14| is 0

Answer:

The answer is 0

Step-by-step explanation:

absolute value of 14 and -14 is 14 and 14 minus 14 equals 0

If joe walks by 21 cats in one week then 7 cats are black.

Percentage can be defined as a ratio that is expressed as fraction of 100.

For Example , 1%= 1/100

Given that Joe's town there are 33 black cats

Total cats = 100.

The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%

Number of cats joe sees in a week =21

Number of black cats joe sees in a week will be = 33% of 21

[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7

Therefore , If joe walks by 21 cats in one week then 7 cats are black.

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The quotient of 455 ÷ 36 is 12 with a remainder of 23.

It should be noted that the subtraction of 360 from 455 will be 95.

Then after that 72 is subtracted from 95 and this will be 23.

Therefore, the quotient is 12 with a remainder of 23.

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Answer:

Yes

Step-by-step explanation:

30/3=10

10 is a whole number, so it is a natural number.

The table for each function is presented below and its graphs are attached in this answer.

Function 1

x          3x-5

-2          -11

-1           -8

0           -5

1            -2

2           1

Function 2

x          -x+3

-2          5

-1           4

0           3

1           2

2           1

Function 3

x         x²-2x+1

-2          9

-1           4

0           1

1           0

2           1

Function 4

x         -3x²+1

-2          -11

-1           -2

0           1

1          -2

2           -11

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .

b= the constant term that represents the y-intercept.

For solving this question, you should plot the points  from the given equation and after that draw a line.

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

First column represents the value of x and the second column represents the value of the function for each value of x

x          3x-5

-2          -11

-1           -8

0           -5

1            -2

2           1

See the figure graph1.

First column represents the value of x and the second column represents the value of the function for each value of x

x          -x+3

-2          5

-1           4

0           3

1           2

2           1

See the figure graph2.

First column represents the value of x and the second column represents the value of the function for each value of x

x         x²-2x+1

-2          9

-1           4

0           1

1           0

2           1

See the figure graph3.

First column represents the value of x and the second column represents the value of the function for each value of x

x         -3x²+1

-2          -11

-1           -2

0           1

1          -2

2           -11

See the figure graph4.

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Ella's bait and tackle shop sells 230,385 in April and May.

Based on the given conditions, formulate:

Bait and tackle sold in 128,278 live worms in April

Bait and tackle sold in 102,278 live worms in May

So the total number of Bait and tackles sold in April and May =

                                                                                             =128,107+102,278

                                                                                              = 230,385

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Work Shown:

[tex](x_1,y_1) = (-13,2) \text{ and } (x_2,y_2) = (-17,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 2}{-17 - (-13)}\\\\m = \frac{9 - 2}{-17 + 13}\\\\m = \frac{7}{-4}\\\\m = -\frac{7}{4}\\\\[/tex]

A slope of -7/4 means that we move down 7 and to the right 4.

The cycle time for the company is 3.

Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.

According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.

Given the company takes 4,500 hours to complete 15000 units

∴ In one hour he company can make 15000/4500 units which is

= 3 units per hour.

So the cycle time for the company is 3 units per hour.

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Step-by-step explanation:

the ratio between two circles vqjoizxcvu g çm

Answer: 5 multiples of 9

Step-by-step explanation:

First take the difference between 100 and 60.

100-60=40

Then divide the difference by 9.

40/9=4.44

4.44 rounded up is 5 ==> 5 multiples of 9

Primero toma la diferencia entre 100 y 60.

100-60=40

Luego divide la diferencia entre 9.

40/9=4,44

4.44 redondeado es 5 ==> 5 múltiplos de 9

Answer:

5

Step-by-step explanation:

9*7 = 63

9*8 = 72

9*9 = 81

9*10 = 90

9*11 = 99

Hay 5 múltiplos de 9 entre los números 60 y 100

Answer:$976

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

A horizontal line will have the form y = k where k is a constant and determines the distance from the x axis. All points on this line will have a constant y value for all x values

Since the line passes through (4,8) we have y = 8 as the equation for the line

Answer:

5^(1/2)

Step-by-step explanation:

Square root means to the power of (1/2)

cube root means to the power of (1/3)

and so on

The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.

In mathematics, it deals with numbers of operations according to the statements.

Here,

In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.

Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.

Thus, the required question, solution, and answer are mentioned above.

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Answer: D

Step-by-step explanation:

i did the test

Answer:

6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

First, take the prime factorization of all 3 numbers.

30: 15*2 ==> 5*3*2

60: 30*2 ==> 15*2*2 ==> 5*3*2*2

78: 39*2 ==> 13*3*2

Notice any common factors? That's the GCF.

GCF: 3*2=6

GCF: 6

5

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Total books borrowed = 8+4 = 12

No. of non - fiction books = 7

No. of fiction books = 12 -7

                                    = 5

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Answer: 100  scores

Step-by-step explanation:

Let the number of points on your fifth test be x

Hence,

[tex]\displaystyle\\\frac{59+80+65+96+x}{5}=80\\[/tex]

Multiply both parts of the equation by 5:

300+x=80*5

300+x-300=400-300

x=100

The actual yearly cost of the membership if club purchases for the year is $40

What is actual yearly cost of the membership of the club?

The annual membership cost of Membership warehouse clubs  is modelled based on the fact that yearly fee is $100 and that 4% is given off purchases the member make in the course of year, hence, the actual yearly cost is modelled as shown below:

y=100−0.04x

y= actual yearly cost of the membership=unknown

x=cost of purchases in the year=$1,500

y=100-0.04($1500)

y=100-60

y=actual yearly cost of the membership =$40

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Full question:

Membership warehouse clubs offer shoppers low​ prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is​ $100 and the reward rate is 4​%

on club purchases for the​ year, then the linear equation

y=100−0.04x  models the actual yearly cost of the membership​ y, in dollars. Here x represents the yearly amount of club​ purchases, also in dollars.

​a) Determine the actual yearly cost of the membership if club purchases for the year are $1500.