Answer:
C. 4i
Step-by-step explanation:
Answer:
C. 4i
Step-by-step explanation:
[tex]\sqrt{-16} = \sqrt{16} \sqrt{-1}[/tex] (because [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex])
Since [tex]\sqrt{16}[/tex]=4, and [tex]\sqrt{-1}[/tex]=i, [tex]\sqrt{-16}[/tex]=4i
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item b) of the question statement c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e.g. 98.76).
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
What must be true in order to find a sum for an infinite geometric series?
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!
Help pleasee
I'm doing homework and i cannot understand this one and it's due soon
Answer:
2001.19
Step-by-step explanation:
V=πr^2h
π×7^2×13=2001.19
ABC-DBE. Find the missing side length.
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
Which expression is equivalent to ( x4/3 x2/3 )1/3
?
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
Oliver was on the internet researching prices of new and used cars. One website has 47 cars for sale, 15 of which were convertibles and 26 of which were station wagons. If Oliver randomly chose to look at 4 of the cars on the website, what is the probability that 2 of the chosen cars are convertibles and 2 are station wagons? Is it a permutation or combination?
Answer: It a permutation
Step-by-step explanation: Hope this help :D
How are these two scenarios different: 3 people went to the zoo and tickets cost
$15 each in comparison to: 3 people go to the carnival, where tickets cost $15
each and parking costs $10.*
FOR BRAINLIST!!!!
What shape is this no links please help me no links
Answer:
Rectangular Prism.
Answer:
Rectangular prism
Explanation:
It's common sense
Kristy is going to a college where tuition is $8,000 per year. She has a scholarship that pays 80% of tuition. Her aunt is giving her $1,000 per year. How much will Kristy need to borrow to pay tuition each year?
Please help me answer this math problem.
Answer:
F. g(x)=f(x)-5
Step-by-step explanation:
Round 665749 to the nearest hundred thousand?
What value of c makes this polynomial a perfect square trinomial?
x² + 4x + c
Answer:
4
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for < or ">=" for 2 if necessary.
3(4x + 1) < 39
Answer:
x<3
Step-by-step explanation:
Find the value of the trig function indicated
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
Square root of 202!!!!!!!!!!!!!! I need help
Answer:
approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points) 30 pointss pls answer hurry
Answer:
The other guy's correct!
Step-by-step explanation:
Which triangles are right triangles?
Select ALL correct answers.
Answer:
2 , 3 ,4
Step-by-step explanation:
to find the right triangle use the pythagorian method
A^2+B^2= C^2
Quadrilateral ABCD is translated 2 units to the left and 5 units down to create quadrilateral A'B'C'D'.
D
6.1
1.4
А A
2.2
4.5
B
D
36
А?
36°
В?
Answer: 14.2
Step-by-step explanation: Khan Academy
The can show below is a cylinder made of aluminum. The diameter of the can is 3 inches and the height of the can is 4 inches.
Which is closest to the total surface area of the can?
A. 14 in
B. 38 in.
C. 28 in.
D.52 in.
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
[_]
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!!!
10. Your bedroom ceiling is 10 feet high and is 2 times as high as the living room ceiling. Write and solve an equation with one variable to find the height h of the living room ceiling.
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
1
2
4
5
Beth filled 56 jars with paint.
If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
Beth used
gallons of paint
Answer:
7
Step-by-step explanation:
My sister got stuck on these can you tell me the answers?
An airplane is traveling at an altitude of 30,000 feet
above sea level and needs to get above 35,000 feet.
The airplane can climb 500 feet every minute. How
long will the airplane need to travel to get above 35,000
feet?
Answer:
Solution in photo
Please help! What is the volume of the cylinder?
Answer and explanation please! <3
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 :)
Write the expression in radical form.
x 5/4
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
HELP [14] pOINTS LOOK AT THE PHOTO
Answer:
I THINK the answer is ⊥, I'm really not confident on this one.
Answer:
They are perpendicular ⊥
Step-by-step explanation:
if $5,250 is invested at 4.5% compounded monthly, what is the amount accumulated at the end of 10 years?
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
what is importance of banks to ecomics
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.
Offering a lot of points for this
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: