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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:

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

Step-by-step explanation:

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

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:

6x - 1

Step-by-step explanation:

Add 3x and 3x.

6x − 1

ídk hope this helps... (￣▽￣)ノ

Answer:

6x-1

Step-by-step explanation:

Answer:

That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!

Answer:

The other guy's correct!

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

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:

h = 5 ft, which does not make sense since a 5 ft ceiling is kind of small

Step-by-step explanation:

b = 10 ft and h = b / 2, so h = 10/2, h = 5 ft

Answer:

x=13.5

Step-by-step explanation:

4.5/6=x/18

cross multiply

6x=18(4.5)

6x=81

x=81/6

x=13.5

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

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:

Rectangular Prism.

Answer:

Rectangular prism

Explanation:

It's common sense

Answer:

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

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

Answer:

x<3

Step-by-step explanation:

Answer: 14.2

Step-by-step explanation: Khan Academy

Answer:

I THINK the answer is ⊥, I'm really not confident on this one.

Answer:

They are perpendicular ⊥

Step-by-step explanation:

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: It a permutation

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

Answer:

2001.19

Step-by-step explanation:

V=πr^2h

π×7^2×13=2001.19

Answer:

Solution in photo