two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide

Answer: 11.3 minutes

Step-by-step explanation: Exponential Distribution is a distribution with function of the form:

[tex]f(x)=\lambda.e^{-\lambda.x}[/tex]

often related to an amount of time until an event occur.

The greek letter λ is decay parameter and have a relationship with the mean:

[tex]\lambda=\frac{1}{\mu}[/tex]

and x is the amount of time

Probability in exponential distribution is given by

[tex]P(x<X)=1-e^{-\lambda.x}[/tex]

Percentile is a value below which a percentage of the data falls.

For the waiting line in a Piggly Wiggly checkout, 80th percentile will be

[tex]P(x<h)=0.8[/tex]

[tex]P(x<h)=1-e^{-\frac{1}{7}h}[/tex]

[tex]0.8=1-e^{-\frac{1}{7}h}[/tex]

[tex]e^{-\frac{h}{7} }=0.2[/tex]

[tex]-\frac{h}{7} =ln(0.2)[/tex]

h = 11.3

The 80th percentile of waiting times is 11.3 minutes.

Answer:

0.25

How to Solve:

Take the denominator of 4/16 and find a number to make it 10, 100, any one followed by zeroes:

16 x 6.25 = 100

Do the same to the numerator:

4 x 6.25 = 25

Now, take 25 and take a decimal point two spaces to the right:

0.25

Answer: James earns $50 more in commission than Rhoda for each laptop sold.

Step-by-step explanation:hope it helps

James earned $50 more than Rhoda.

A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.

Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.

Given:

In one month, Rhoda earns $2000 in commission for selling 10 laptops.

For, one laptop = 2000/10

                         = 200

Now, as from the graph

In one month, James earns $2500 in commission for selling 10 laptops.

For, one laptop = 2500/10

                         = 250

So, James earned $50 more than Rhoda.

Learn more about data here:

https://brainly.com/question/13650923

#SPJ6

Answer:

The Answer is to determine the amount of interest charged during a specific time frame

Step-by-step explanation:

Answer: A

Step-by-step explanation:

If you write down the points you’ll get:

(2,6) & (3,9) & (5,15)

Next apply the expression which in this case:

A) y =3x

Now insert the numbers

1) (2,6) => 6=3(2)

2) (3,9) => 9=3(3)

3) (5,15) => 15=3(5)

So, A is correct.

Edit: Forgot to mention about the numbers placement.

(x,y) so numbers on the left is x while those on the right is y

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]

Answer:

2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6

Step-by-step explanation:

Answer:

She can eat for around 22 days before her has to add money.

Answer:

59% why

Step-by-step explanation:

i just took the test my gee

Answer:

Tax: $2.4

Total: $42.4

Step-by-step explanation:

40*0.06 = 2.4, 40 + 2.4 = 42.4

Answer:

$449.60

Step-by-step explanation:

12 x 12 = 144, her room is 144 square feet. One yard is three feet, making a square yard equal to 9 square feet. 144 divided by 9 is 16 square yards. Now we do 16 times the installation cost $28.10. So 16 x 28.10 = 449.6, or $449.60.

I hope this helps!

Answer:

1.03

Step-by-step explanation:

i multiplied 14.68×.07

hope this is correct and helps

Answer:

1.03

Have a good day! :)

Answer:

a

[tex]\= x = 40.85[/tex]

b

[tex]E = 5.85[/tex]

Ca  

   [tex]t_c =  2.08 [/tex]

Cb

   [tex] t_c  =   1.282 [/tex]

Explanation:

From the question we are told that

     The sample size is n  =  100

     The upper limit of the 95% confidence interval is  b =  47.2 years

     The lower limit of the 95% confidence interval is   a =  34.5 years

Generally the sample mean is mathematically represented as

         [tex]\= x = \frac{a + b }{2}[/tex]

=>    [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]

=>    [tex]\= x = 40.85[/tex]

Generally the margin of error is mathematically represented as

         [tex]E = \frac{b- a }{ 2}[/tex]

=>      [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]

=>      [tex]E = 5.85[/tex]

Considering question C a  

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

The  sample size is  n =  22

Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table  

Generally the degree of freedom is mathematically represented as

           [tex]df = n- 1[/tex]

=>        [tex]df = 22 - 1[/tex]

=>        [tex]df = 21[/tex]

Generally from the student  t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom  of  21 is  

   [tex]t_c =t_{\frac{\alpha }{2} ,  21  } =  2.08 [/tex]

Considering question C b

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex] t_c  =Z_{\frac{\alpha }{2} } =  1.282 [/tex]

Answer:

me breolllllll please

Answer:

1/5

Step-by-step explanation:

Equation: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Points: (-3, -9) and (22, -4)

[tex]y_{2}[/tex] is the second y point that shows up on the question, basically go by order. So it's -4

[tex]y_{1}[/tex] is -9, because again, in order of which coordinates pop-up first in the question

[tex]x_{2}[/tex] is 22, [tex]x_{1}[/tex] is -3

Now input into the equation, to make it easier we'll split the fraction into 2 equations:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex] = [tex]y_{2} - y_{1}[/tex] and [tex]x_{2} - x_{1}[/tex], we'll put them back in a fraction later

[tex]y_{2} - y_{1}[/tex] = -4 - (-9) = -4 + 9 = 5

[tex]x_{2} - x_{1}[/tex] = 22 - (-3) = 22 + 3 = 25

now put it in the fraction, remember y on top x on the bottom:

5/25, simplify, 1/5

Step-by-step explanation:

“The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.”

Answer:

The answer is zero, because the entire equation is being multiplied by zero. The only way that will give you non-zero value is if the denominator in the fraction came to zero as well, but in this case it does not.

Step-by-step explanation:

[tex]3x\frac{x - 2}{2x - 1} \\3(0)\frac{0-2}{2(0) - 1}\\0[/tex]

Answer:

29/4

Step-by-step explanation:

4x=29

x=29/4

The value of x and the solution of the equation is 7.25.

An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.

The solution of 4x+5 = 34 is

4x = 34-5

4x = 29

x = 29/4

x = 7.25

The value of x and the solution of the equation is 7.25.

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

Unlikely

Step-by-step explanation:

In a pool 4-14 you have the numbers: 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14. So there is only three numbers under 7 in this scenario.

Answer:

The number that produces a rational number when added to 0.25 is 2/9. Tell me if im wrong please

Step-by-step explanation:

Answer:

x>-4

Step-by-step explanation:

Answer: The answer is A, C and D

Step-by-step explanation:

The expression that is true for (v) and (w) on the graph can be seen in options A, B and D

The expression of data on the graph takes a standard form of arrangement in terms of (x, y).

From the given information:

If we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;

This shows that v and w are perpendicular to each other, and the product of v.w = 20

Similarly, W = -2(-2, -5) because by opening the brackets we have:

W = (4, 10)

Learn more about graphical data expression here:

https://brainly.com/question/26247534

#SPJ2

Answer:

The answer is D, lll only.

Step-by-step explanation:

Just took the test on e d g e!

The statement that most directly applies to capitalism is III only.

Option D is the correct answer.

It is a system of the economy where means of production and distribution are owned by the private, not the government.

We have,

The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.

Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.

On the other hand,

Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.

Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.

Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.

In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.

Therefore,

The statement that most directly applies to capitalism is III only.

Learn more about  capitalism here:

https://brainly.com/question/28144254

#SPJ7