Which expression is equivalent to 14y−12?

14(y−2)

−14(y−12)

14(y−12)

−14(y−2)

Answer:

A. (2√13)/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Thus,

Cos θ = Adjacent/Hypotenuse

Adjacent = 16

Hypotenuse = 8√13

Therefore,

Cos θ = 16/(8√13)

Rationalize

Cos θ = (16*√13)/(8√13*√13)

Cos θ = (16√13)/(8*13) = (2√13)/13

Answer:

a) 0.39984 = 39.984% probability of no orders in five minutes.

b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) The length of time is 0.63 hours

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.

This means that [tex]\mu = 11h[/tex], in which h is the number of hours.

a) Probability of no orders in five minutes.

Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]

This probability is P(X = 0). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

0.39984 = 39.984% probability of no orders in five minutes.

b) Probability of 3 or more orders in five minutes.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]

[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]

0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

This is h for which:

[tex]P(X = 0) = 0.001[/tex]

We have that:

[tex]P(X = 0) = e^{-\mu}[/tex]

And

[tex]\mu = 11h[/tex]

So

[tex]P(X = 0) = 0.001[/tex]

[tex]e^{-11h} = 0.001[/tex]

[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]

[tex]-11h = \ln{0.001}[/tex]

[tex]h =-\frac{\ln{0.001}}{11}[/tex]

[tex]h = 0.63[/tex]

The length of time is 0.63 hours

Answer:

6 is the median...

Step-by-step explanation:

Well first off, you need to know what a median is.

Let's break down the root/suffix/prefix.

Med= Meduim/middle

Median means the middle value.

Let's look at our data:

Skip zero

1-1- First

2-1- second

3-2-third

4-2-forth

5-3 fifth

6-4 - Six is in the middle of the line, making it the median.

7-3 seventh

8-3 eighth

9-2 ninth

10- 0 tenth

11-1 eleventh

12-0 twelfth

What's in between 1-12?  6!!! There's our answer!!!

I hope this helped you! Have a great day!!!

Answer:

Yes, many times actually. I've aced tests because of brainly

Step-by-step explanation:

Answer: It a permutation

Step-by-step explanation: Hope this help :D

Answer:

Solution in photo

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

Answer:

Rectangular Prism.

Answer:

Rectangular prism

Explanation:

It's common sense

Answer:

For 20

X= 120

Step-by-step explanation:

Answer:

x<3

Step-by-step explanation:

Answer:

x^2/3

Step-by-step explanation:

(x^4/3 × x ^2/3)^ 1/3

According to laws of indices powers are added if the base is same,

[x^(4/3 + 2/3) ] ^1/3

= (x ^ 6/3 ) ^ 1/3

= (x² )^ 1/3

= x ^ 2/3

9514 1404 393

Answer:

  y = -x -2

Step-by-step explanation:

The line crosses the y-axis at y = -2, so that is the y-intercept.

The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.

  m = rise/run = -3/3 = -1

Then the slope-intercept equation is ...

  y = mx +b . . . . . slope m, y-intercept b

  y = -x -2 . . . . . . . using m=-1, b=-2

Answer: 14.2

Step-by-step explanation: Khan Academy

Answer:

The other guy's correct!

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

F. g(x)=f(x)-5

Step-by-step explanation:

Answer:

In 10 years, you will have $793,789.89

Step-by-step explanation:

Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89

Answer: r=3.659 or 3.7

Step-by-step explanation:

Answer:

2001.19

Step-by-step explanation:

V=πr^2h

π×7^2×13=2001.19

Answer:

approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101

Answer:

They do transactions from such a large distance

Step-by-step explanation:

Banks make it far easier for a complex economy to carry out the extraordinary range of transactions that occur in goods, labor, and financial capital markets. Banks are a critical intermediary in what is called the payment system, which helps an economy exchange goods and services for money or other financial assets.

Answer:

7

Step-by-step explanation:

Answer:

independent Variable

Step-by-step explanation:

Because we already know that x=75, and that a independent variable is An independent variable is a variable that represents a quantity that is being manipulated in an experiment. x is often the variable used to represent the independent variable in an equation.

Answer:

3386.64[tex]m^{3}[/tex] (rounded to 2 decimal places)

Step-by-step explanation:

Volume of a cylinder = π[tex]r^{2}[/tex]h

                                   = π x [tex]7^{2}[/tex] x 22

                                   = π x 49 x 22

                                   = 3386.63688057

                                   = 3386.64[tex]m^{3}[/tex] (rounded to 2 decimal places)

sorry if this is not right and hope this helps :)

Answer:

6x - 1

Step-by-step explanation:

Add 3x and 3x.

6x − 1

ídk hope this helps... (￣▽￣)ノ

Answer:

6x-1

Step-by-step explanation:

The expression [tex]x^{(5/4)[/tex] can be expressed in radical form as either (fourth root of[tex]x^5[/tex] or [tex](\sqrt{x} )^5.[/tex]

To express the expression "[tex]x^{(5/4)[/tex]" in radical form, we can rewrite it as the fourth root of x raised to the power of 5.

Let's break down the process step by step:

Step 1: Start with the exponent "5/4."

Step 2: Express the exponent as a fraction: 5/4.

Step 3: Rewrite the fraction as a radical expression by taking the denominator (4) as the index of the radical.

Step 4: Place the base (x) inside the radical.

Step 5: Raise the base to the power of the numerator (5) outside the radical.

Putting it all together, we have:

[tex]x^{(5/4)} = (fourth root of x)^5[/tex]

In radical form,[tex]x^{(5/4)}[/tex] can be written as the fifth power of the fourth root of x.

This representation emphasizes that we take the fourth root of x first and then raise it to the power of 5. The fourth root indicates that we are finding the value that, when raised to the fourth power, gives us x. The fifth power signifies that we are multiplying that value by itself five times.

Note that the fourth root can also be expressed using the radical symbol (√), so the radical form of [tex]x^{(5/4)[/tex]can be written as[tex](\sqrt{x} )^5.[/tex]

In conclusion, the expression [tex]x^{(5/4)[/tex] can be expressed in radical form as either (fourth root of x)^5 or [tex](\sqrt{x} )^5.[/tex]

For more question on radical visit:

https://brainly.com/question/27847549

#SPJ8