Answer:
a
[tex]P_k = 0.83[/tex]
b
[tex]N_{\mu} \approx 4 \ passengers[/tex]
c
[tex]T_{\lambda} = 0.5 \ minutes[/tex]
Step-by-step explanation:
From the question we are told that
The average number of passengers that arrive per minute is [tex]\lambda = 10[/tex]
The average number of check that can be carried out in one minute is [tex]\mu= 12[/tex]
Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as
[tex]P_k = \frac{\lambda }{ \mu }[/tex]
=> [tex]P_k = \frac{10 }{ 12}[/tex]
=> [tex]P_k = 0.83[/tex]
Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as
[tex]N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }[/tex]
=> [tex]N_{\mu} = \frac{10^2}{12 (12 -10) }[/tex]
=> [tex]N_{\mu} \approx 4 \ passengers[/tex]
Generally the average time a passenger spend at the checkpoint is mathematically represented as
[tex]T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}[/tex]
=> [tex]T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}[/tex]
=> [tex]T_{\lambda} = 0.5 \ minutes[/tex]
How many is 3+7??staijsvsvsgsusidvsvsuoshsgsusisishsbvsss
Answer:
10
Step-by-step explanation:
Item
Price
Markup %
Markup
Retail Price
Shoes
$75.38
39%
$
Hey, I need this answer in by today. Please help me solve this and give a word by word explanation. Thanks!
Answer:
185
Step-by-step explanation:
firstly you calculate all in brackets
(280+20)÷3
300÷3
100-15
85
now you calculate 10×5=50
2×50=100
85+100=185
so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185
Graph the set on the number line.
9. A company's quality control department found and average of 1.6 defective
models for every 1000 models that were checked. If the company produced
160,000 models in a year, how many of them would be expected to be
defective?
(a) 356
(b) 256
(c) 476 (d) 856
In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet.
(a) How many different license plates can the country produce?
(b) How many license plates have no repeated letter? (c) How many license plates have at least one repeated letter?
(d) What is the probability that a license plate has a repeated letter? (Round your answer to the nearest whole percent.)
Answer:
Step-by-step explanation:
From the given information:
The number of different license plate the country can produce is in the form:
=L₁L₂L₃L₄ or L₁L₂L₃L₄L₅ or D₁L₁L₂L₃L₄ or D₁L₁L₂L₃L₄L₅
∴
The Total number of the license plate that can be produced is;
= 26⁴ + 26⁵ + (10 × 26⁴) + (10 × 26⁵)
= 456976 + 11881376 + 4569760 + 118813760
= 135721872
Number of license plate with no repeated letter = P(26,4) + P(26,5) + 10 P(26,4) + 10 P(26,5)
= 11 P(26,4P + 11 P(26,5)
[tex]=11 \times \dfrac{26!}{(26-4)!} + 11 \times \dfrac{26!}{(26-5)!}[/tex]
= 90776400
c) The number of the licensed plate with 1 repeated letter = Total number of the licensed plate - number of the licensed plate with no repeated letter.
= 135721872 - 90776400
= 44945472
d) The probability that a licensed plate has repeated letter is:
[tex]= \dfrac{no(rep \ letter) }{n (total)} \times 100\%[/tex]
[tex]= \dfrac{44945472}{135721872}\times 100\%[/tex]
= 33.12%
A) The country can produce 118,813,760 different licence plates.
B) 78,936,000 license plates have no repeated letter.
C) 39,877,760 license plates have at least one repeated letter.
D) The probability that a license plate has a repeated letter is 33.56%.
Given that in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet, to determine (A) how many different license plates can the country produce; (B) how many license plates have no repeated letter; (C) how many license plates have at least one repeated letter; and (D) what is the probability that a license plate has a repeated letter, the following calculations must be performed:
A)
10 x 26 x 26 x 26 x 26 x 26 = X 10 x 11,881,376 = X 118,813,760 = X
B)
10 x 26 x 25 x 24 x 23 x 22 = X 10 x 7,893,600 = X 78,936,000 = X
C)
118,813,760 - 78,936,000 = X 39,877,760 = X
D)
118,813,760 = 100 39,877,760 = X 39,877,760 x 100 / 118,813,760 = X 33.56 = XLearn more about quantities in https://brainly.com/question/12161780
What is the area of the figure?
A. 36 cm2
B. 26 cm
C. 15 cm
D. 42 cm2
Answer:
Sorry to break it to ya but the other answer is wrong and the correct answer is A. 36 cm^2
Step-by-step explanation:
1. Divide the figure into 2 figures.
2. Calculate the first figure by multiplying the length (7 cm) and width (4 cm).
3. After that, we get 28. Do the same to the other figure. (4 cm x 2 cm = 8 cm).
4. Combine the 2 areas to get your total area. (28 + 8 = 36 cm^2).
5. NEVER forget the "^2" meaning squared when calculating the area.
Hope this helps, have a good day/night. :)
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the figure is 36 cm².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of the rectangle with a length of 3 cm and wide 5cm is 15 cm².
We have,
A figure.
The figure has two rectangles.
One rectangle:
Length = 4 cm
Wide = 7 cm
Area of the rectangle = 4 x 7 = 28 cm²
Another rectangle:
Length = 2 cm
Wide = 4cm
Area of the rectangle = 2 x 4 = 8 cm²
The area of the figure.
= 28 + 8
= 36 cm²
Thus,
The area of the figure is 36 cm².
Learn more about rectangles here:
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A giant right triangular sculpture has two legs with lengths 20 meters and 40 meters. What is the measure of the smallest angle in this sculpture? Round your answer to the nearest degree.
15°
27°
30°
43°
Answer:
we have the same question
Step-by-step explanation:
please tell me what you got when you receive an answer
Answer:
30 degrees
Step-by-step explanation:
we need to compute angle A and angle B (see figure below)
hence,
[tex]cosA=\frac{20}{40}\\ cosA=\frac{1}{2}[/tex]
this implies that A=60 degrees.
Since interior angles of a triangle add up 180 then,
A+B+90=180
60+B+90=180
B+150=180
B=180-150
B=30 degrees
which is the smallest angle
15 POINTS IF U ANSWER
Answer:
we need explaining of this question
HELPPP ME PLEASSSEE :(
I am pretty sure the answer is d.
Answer:definitely a trinomial expression.
Step-by-step explanation:
Since it has 3, it’s a trinomial.
Which equation has infinitely many solutions?
Write the fraction that would land on point A on the number line.
Rods car takes 14 gallon to fill up and gets 35 miles per gallon rod drives 17.5 miles a day can rod go a whole month with out filling up
Answer:
No
Step-by-step explanation:
Rod would have to fill his care up 7 times to drive a whole month, cause a month would be 225 miles and his car holds 35 miles worth of gas.
Miss Holman bought a meal that cost $6.25. She gave her server $1.25 tip. What percent did she tip her server?
Answer:
20%
Step-by-step explanation:
6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.
D. Find the coordinates of the vertex
Vertex: ( , )
Please anyone helps me
Answer:
(-2,4)
Step-by-step explanation:
What is the slope of the linear table below?
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (0, 10) ← 2 ordered pairs from the table
m = [tex]\frac{10-8}{0+3}[/tex] = [tex]\frac{2}{3}[/tex] → A
David bought 3 1/3 fabric . How much is this in feet?
Answer:10 feet, I think
Step-by-step explanation:
I NEED HELP WITH THIS MATH PROBLEM!!
PLEASE HELP!
Identify the y-intercept and zeros of
y = x^4 - 9x^2 - 36
Algebraically
Answer:
Our y-intercept is (0, -36).
Our real zeros are: (-2√3, 0) and (2√3, 0)
And our imaginary zeros are: (i√3, 0) and (-i√3, 0)
Step-by-step explanation:
We have the function:
[tex]y=x^4-9x^2-36[/tex]
Let's identify the y- and x-intercepts.
Y-Intercept:
To determine the y-intercept, we will substitute 0 for x and solve for y. So:
[tex]y=(0)^4-9(0)^2-36[/tex]
Evaluate:
[tex]y=-36[/tex]
Therefore, our y-intercept is at (0, -36).
X-Intercepts:
To determine our x-intercepts, we need to substitute 0 for y and solve for x. So:
[tex]0=x^4-9x^2-36[/tex]
Now, we can factor. Before doing so, we can make the factored easier to see by converting this into quadratic form. Let's let u=x². Then:
[tex]0=(u^2)^2-9(x^2)-36[/tex]
Substitute:
[tex]0=u^2-9u-36[/tex]
Now, let's factor. We can use -12 and 3. So:
[tex]0=u^2+3u-12u-36 \\ 0=(u(u+3)-12(u+3)) \\ 0=(u-12)(u+3)[/tex]
Now, we can substitute back u:
[tex]0=(x^2-12)(x^2+3)[/tex]
Zero Product Property:
[tex]x^2-12=0\text{ or } x^2+3=0[/tex]
Solve for x in each case:
[tex]x^2=12 \text{ or } x^2=-3[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus. Therefore:
[tex]x=\pm\sqrt{12}=\pm2\sqrt{3}\text{ or } x=\pm\sqrt{-3}=\pm i\sqrt{3}[/tex]
Therefore, our zeros (both real and imaginary) are: (2√3, 0), (-2√3, 0), (i√3, 0), and (-i√3, 0)
If I read 4 pages of a book in 5 minutes, how many pages did I read per minute?
Answer:
about a half a page
Step-by-step explanation:
Subtract 5x – 2 from –3x +4. O 2x + 2 o 80 – 6 –80 + 2 -80 + 6 +
Answer:
8x - 6
Step-by-step explanation:
5x - 2 - (-3x + 4)
1) Distribute
5x - 2 + 3x -4
2) Combine like terms
8x - 6
Answer:
D: -8x+6
Step-by-step explanation:
(-3x+4)-(5x-2) This is the set up
(-3x-5x)+(4--2) Combine like terms
-8x+6 Simplify
when ------, you change a number to one that is less exact, so it is easier to work with.
please help me in have 10 minutes left
a = 65 – 100n
Find a
39
What is the GCF of 8 and 20
O 8
O2
O 4
O 10
Which of the following statements is NOT equivalent to the statement, 'There exists either a
computer scientist or a mathematician who knows both discrete math and Java.
The correct answer is computer scientists because they know both discrete math and java.
Given that,
"There exists either a computer scientist or a mathematician who knows both discrete math and Java." is to be discussed.
Java is a computer programming language, which helps to build software and program on computers.
here,
Mathematicians do have knowledge of discrete math but they do not have known what actually java is, while being a computer scientist one should have knowledge of both discrete math and Java.
Thus, the correct answer is computer scientists because they know both discrete math and java.
Learn more about java here:
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You could produce a pair of like terms with opposite coefficients by multiplying the first equation by what number?
Answer:
6
Step-by-step explanation:
just did on edge
Answer:
C. 6
Add
-2,-4
YOUR WELCOME ;)
Step-by-step explanation:
EDGE2021
Megan makes and sell slime online.
Answer:
44 containers
the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
One number is 5 greater than another. The product of the numbers is 36.
Find the numbers.
Answer:4 and 9 are the numbers
Step-by-step explanation:
Answer:
4 and 9
Step-by-step explanation:
Factors of 36 are:
(1x36), (2x18), (3x12), (4x9), (6x6)
The ones with a difference of 5 are 4 and 9, and so therefore they are your answers.
Four less than 6 times a number is the same as the number plus 11.
Complete the equation
Answer:
×=3
Step-by-step explanation:
6x-4 = x+11
6x-x = 11+4
5x = 15
x = 3