The roller coaster has a mass of 600 Kg speeds up to 22 m/s as it goes down a giant hill. Calculate the kinetic energy. SHOW WORK!

Answer:

The Total interest paid is $3,306.87

Using the binomial distribution, it is found that there is a 0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly 4 out of the first 14 customers buy a magazine is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{14,4}.(0.07)^{4}.(0.93)^{10} = 0.0116[/tex]

0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

D

Step-by-step explanation:

You want to make sure your coefficients in the first equation are 0.25 and 0.05 and add up to the total price. (3.65)

You want to make sure you have an equation that models the amount of coins, which was said to be 20 coins.

The amount that the would be paid after 40% discount is $27

Given Data

Let us find the cost of three shirt

= 15*3

= $45

Let us find 40% discount of $45

= 40/100*45

= 0.4*45

= $18

Let us find the amount after discount

= 45-18

= $27

Learn more about word problem here:

https://brainly.com/question/25693822

Answer:

21 + 3x

Step-by-step explanation:

Use Distributive property: a(b + c) =(a *b) + (a*c)

3( 7 + x)= 3*7 + 3*x

           = 21 + 3x

Answer:

z = 7

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

258,620

Step-by-step explanation:

687 x 391 = 268,617

You keep the 268 part but instead of 617 it is 620.

The formula for the given inverse proportion is:

y = 1/x

The general formula of an inverse proportion is written as:

y = k/x

Where k is the constant of proportionality.

In this case, we know that the point (8, 0.125) belongs to the graph, then replacing these values on the general formula we get:

0.125 = k/8

Solving for k we get:

0.125*8 = k = 1

Then the inverse proportion is:

y = 1/x

If you want to learn more about inverse proportions, you can read:

https://brainly.com/question/17447335

Answer: -1

in a function:

f(x) = mx + b

or

y = mx+ b

y=f(x) so,

y = -(1) x - 3

m=slope --------

x=x-coordinate

b=y-intercept

Answer:

C 120 degrees

Step-by-step explanation: 3 times 4 equals 12 so if 4 peices are eaten then there is only 2/3 left so theres only 240 degrees left of the pizza so we take 360 minus 240 we get 120 so there is 120 degrees of pizza eaten by johnson.

Using the combination formula, it is found that there are 37,044 ways to form the soccer team.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

Since they are independent of each other, the total number of combinations is given by:

[tex]T = C_{9,3} \times C_{7,4} \times C_{7,3} = \frac{9!}{3!6!} \times \frac{7!}{3!4!} \times \frac{7!}{3!4!} = 37,044[/tex]

There are 37,044 ways to form the soccer team.

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Answer: 52 degrees

Step-by-step explanation: the sum of interior angles of a triangle is equal to 180 degrees. So, the missing angle is equal to 180-90-38

Answer:

A. March

Step-by-step explanation:

You can tell by subtracting the tallest bar in the month from the shorter one, and seeing which number is bigger out of all of them.

Hope this helped :)

Answer:

A. March

Step-by-step explanation:

March:

10 - 2 = 8

April:

14 - 10 = 4

May:

18 - 16 = 2

June:

16 - 16 = 0

From this data, we can see that March has the largest difference in the amount of money between year 1 and year 2.

Answer:

I would say city B.

Step-by-step explanation:

Because NC is closer to the equator than Ohio, Ohio might have weirder weather. I've also read that Ohio's weather is always super unstable and always a gamble. I'm not 100% sure tho. Hope that helps! (:

Answer:

4 is you answer

Step-by-step explanation:

I think.

Hope you get smarter

Answer: 2.54 centimeters

Step-by-step explanation: multiply the length value by 2.54

Answer:

I think is no triangle possible.

Step-by-step explanation:

There is no 2 or 5.

I hope this helps. If it is wrong I am sorry. Please have a good day

[tex]30 + 2 \sqrt{3} cubic \: units[/tex]

This the answer

Answer:

5sqrt3

Step-by-step explanation:

Know that area of a Equilateral triangle is

[tex] \frac{ \sqrt{ 3} }{4} {a}^{2} [/tex]

where as a is the side of it.

so area of the triangle in the base of the prism is

[tex] \frac{ \sqrt{ 3} }{4} \times {2}^{2} = \sqrt{3} [/tex]

so the volume will be

[tex]area \: of \: the \: base \: of \: the \: prism \: \times the \: length \: of \: it = 5 \sqrt{3} [/tex]

Answer:

WRONG

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You use PEDMAS - priority of calculation

1) Paranthesis

2) Exponents

3) Divide or Multiple (whichever comes first, reading left to right)

4) Add or Subtract (whichever comes first, reading left to right)

Also, there are no unknowns, all numbers are known so no chance of having multiple answers.

Answer:

D) 320

Step-by-step explanation:

10 x 8 for the base is 80. For the 4 triangles it is 12 x 10 divided by 2 x 4 which gives you 240. 240 + 80 is 320.

Answer:

6

Step-by-step explanation:

divide 30 by 5 to get the answer

30÷5=6

explain

...................

This is easy....

First, the frequency is how many times a number or certain value in a set of data appears...

So basically, its asking you for the number of times that a number in between 0 and 9 appears in the data set:

23, 15, 18, 11, 30, 32, 47, 5, 9, 10, 0, 34, 39, 49, 9

To make this easier, we can put them in numerical order.

0,5,9,9,10,11,15,18,23,30,32,34,39,47,49

Now, just single out the numbers before 10.

0,5,9,9

4 numbers, so its 4. The number of times a number between 0 and 9 appears in the data set is 4. That goes in the Frequency side...

Do you understand it better now?

Let me know if you need more help! :)

Answer:

Step-by-step explanation:

Habits can be changed. This is shown in the text when it says "Know you can do it."

Hope this helped!

Answer:

504 Paise

Step-by-step explanation:

10x = 5040

x = 5040/10

x = 504