Answer:
The probability that the man arrives first is 0.50.
Step-by-step explanation:
Let X denote the arrival time of the man and Y denote the arrival time of the woman.
It is provided that:
[tex]X\sim U[15,45]\\\\Y\sim U[0,60][/tex]
The pdf of X an Y are:
[tex]f_{X}(x)=\frac{1}{45-15}=\frac{1}{30};\ 15<X<45\\\\f_{Y}(y)=\frac{1}{60-0}=\frac{1}{60};\ 0<Y<60[/tex]
It is provided that X and Y are independent of each other.
Then the joint pdf of X and Y is:
[tex]f_{XY}(x,y)=f_{X}(x)\times f_{Y}(y)\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{30}\times \frac{1}{60}\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{1800};\ 15<X<45,\ 0<Y<60[/tex]
Compute the probability that the man arrives first as follows:
[tex]P(X<Y)=\int\limits^{45}_{15} {\int\limits^{60}_{x} {\frac{1}{1800}} \, dy } \,dx[/tex]
[tex]=\frac{1}{1800}\times \int\limits^{45}_{15} y|^{60}_{x} \,dx\\\\=\frac{1}{1800}\times \int\limits^{45}_{15} {60-x} \,dx\\\\=\frac{1}{1800}\times |60x-\frac{x^{2}}{2}|^{45}_{15}\\\\=\frac{(1687.5-787.5)}{1800}\\\\=\frac{900}{1800}\\\\=\frac{1}{2}\\\\=0.50[/tex]
Thus, the probability that the man arrives first is 0.50.
Find the value of x.
f(x) = 10^x; f(x) = 10^-3
4
-3
3
-4
Answer:
x=-3
Step-by-step explanation:
Given, f(x) = 10^-3 and f(x)=10^x
Compare the equations
10^-3=10^x
So, x=-3
2) The perimeter of a rectangle is 52 feet.
The length and width are represented by
two consecutive even integers. Find the
dimensions of the rectangle .
Answer:
12 feet and 14 feet
Step-by-step explanation:
Let a and b be the length and width of a rectangle
a and b are consecutive even integers
a=x, b=x+2
perimeter=52
2*(a+b)=52
2*(x+x+2)=52
2x+2=26
2x=24
x=12
a=12
b=x+2=14
Answer:
dimensions of the rectangle are 12 ft by 14 ft
Step-by-step explanation:
Let's name our unknowns :
width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).
Then the perimeter (addition of all four sides of the rectangle) will be the sum:
x + (x + 2) + x + (x + 2) = 52
combining like terms:
4 x + 4 = 52
subtracting 4 on both sides
4 x = 52 - 4
4 x = 48
x = 48 / 4
x = 12
so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet
Then the dimensions of the rectangle are 12 ft by 14 ft.
Which of the following statements are true of the Tips feature of QuickBooks Online?
Setting up Tips always creates an income type account for tips that are recorded to post to
Setting up Tips always creates a liabilities type account for tips that are recorded to post to
The type of account tips post to depends on whether the tips are distributed to a team or just to the business owner
Tips can only be distributed via paychecks to team members
Tips functionality cannot be turned off
Tips functionality can be turned off
Answer:
B is The correct answer
Question 2 of 5
Select the story problem that this division problem represents.
3
4
1
5
A. A mosaic has an area of square foot and a width of foot.
What is the length of the mosaic?
B. A piece of wrapping paper is yard wide and yard long. What is
the area of the wrapping paper?
C. The area of a wetland is į square mile, and it is mile in length.
How wide is the wetland?
D. A whiteboard is meter long and has an area of 1 square meter.
How wide is the whiteboard?
ITS B! i did the test and it was right
Step-by-step explanation:
is -57.25 a rational number
The time it takes a printer to print a job is an Exponential random variable with the expectation of 15 seconds. You send a job to the printer at 4:00 pm, and it appears to be forth in line. What is the probability that your job will be ready before 4:01 pm
Answer:
0.56652
Step-by-step explanation:
Given that :
1 job takes 15 seconds
x jobs will take 60 seconds
15x = 60
x = 4
4 jobs take 60 seconds
μ = 4
Job is 4th in line :
Find the probability of ;
P(x ≥ 4) = 1 - [P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)]
P(μ, x) = [(e^-μ) * (μ^x)] ÷ x!
Using the poisson distribution calculator :
P(x< 3) = 0.19537
P(x< 2) = 0.14653
P(x< 1) = 0.07326
P(x< 0) = 0.01832
Hence,
P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)
= 1 - (0.19537 + 0.14653 + 0.07326 + 0.01832)
= 1 - 0.43348
= 0.56652
At a carnival, Boris bought 14 packs of 9 tickets each. He also found 7 more tickets on the ground. How many tickets did Boris have in all?
−3(4r − 8) = −36 What is happening to my variable?(In order)
Answer:
r = 5
Step-by-step explanation:
-12r + 24 = -36
-12r = -36 - 24
12r = 60
r = 5
Hope this helps!
Have a nice day!
If you find this helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes.
Answer:
x=3 or -3
Step-by-step explanation:
hope it helps
A 9-meter by 11-meter rectangular garden has a one-meter wide walking path all around it (outside the garden). What is the area of the walking path?
Which of the following are partial products for 43 × 17? Choose all that apply. A. 3 B. 21 C. 28 D. 40 E. 400
Answer:
B. 21
E. 400
Step-by-step explanation:
Partial product of two digits number is the multiplication of the sum of place values of digits.
43 × 17
= (40 + 3) × (10 + 7)
To remove the parenthesis
= 40 × 10 + 40 × 7 + 3 × 10 + 3 × 7
Multiplying each pair separately
40 × 10 = 400
40 ×7 = 280
3 × 10 = 30
3 × 7 = 21
The partial product of 43 × 17 is
400 + 280 + 30 + 21 = 731
43 × 17 = 731
The answer is
B. 21
E. 400
Answer:
Step-by-step explanation:
e.400
The table shows the cost of long distance calls
Answer:
nnnvvg
Step-by-step explanation: mm
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.
, 52, 24, 5, 72, 49, 529
Find the range of the data set.
[tex]range=524.[/tex]
Step-by-step explanation:
[tex]range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨[/tex]
The range of the given data set comes to be 524.
The given data set is: 52, 24, 5, 72, 49, 529
What is the range of a data set?The range of a data set is the difference between the maximum and minimum value of that data set.
The maximum value of the given data set = 529
The minimum value of the given data set = 5
The difference between the maximum and minimum value of that data set=529-5 =524
So, the range of the data set =524
Therefore, the range of the given data set comes to be 524.
To get more about range visit:
https://brainly.com/question/8486248
What is negative 4 and 4 twenty fifths as a decimal?
Answer:
Negative 4.16 will be the answer
1) Find the ratios for sin A, cos A, and tan A for the triangle below.
C
6
A
sin A=
8
10
COS A =
B
tan A =
Answer:
Sin A = 8/10 or 4/5
Cos A = 6/10 or 3/5
Tan A = 8/6 or 4/3
Flying against the jetstream, a plane travels 3,132 miles in 9 hours. The same plane flying with the jetstream travels 1.5 times the distance it traveled going against the jetstream. If the plane travels 435 miles per hour, what is the speed of the jetstream?
Answer: 87
Step-by-step explanation:
3,132/9 = 348
348x1.5 = 522
522-435 = 87
i think?
The scores on a psychology exam were normally distributed with a mean of and a standard deviation of . About what percentage of scores were less than . The percentage of scores that were less than was
Complete Question
The scores on a psychology exam were normally distributed with a mean of 59 and a standard deviation of 6. About what percentage of sores were less than 53. The percentage of scores that were less than 53 was %. (Type an integer or a decimal.
Answer:
The value is [tex]P(X < 53) = 0.15866[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 59[/tex]
The standard deviation is [tex]\sigma = 6[/tex]
Generally the percentage that were less than 53 is mathematically represented as
[tex]P(X < 53) = P(\frac{X - \mu }{\sigma } < \frac{ 53 - 59 }{ 6 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(X < 53) = P(Z < -1 )[/tex]
Generally the probability of (Z < -1 ) is
[tex]P(Z < -1 ) = 0.15866[/tex]
=> [tex]P(X < 53) = 0.15866[/tex]
0.6667 into a fraction?
pls I rly need help LOOL
Answer:
90mph
Step-by-step explanation:
15 times 6, will u answer my question on my page
Change the way to my dog dog and I can
I'm giving away a free brainliest to the hardest question ever (or just a question I don't know the answer to). I do Kumon so I'm pretty good at math (forgot to mention it has to be a math question) so good luck! Instead of typing questions in the chat, please type the question by answering this. :) Have fun! and good luck!
Answer:
Step-by-step explanation:[tex]8000000^{9090}[/tex] +98989898989
(If you don't think this is legit, just search up Chinese math question)
If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?
To answer this question correctly would truly be an accomplishment.
Hope this helps, if not, comment down below please!!!
(cast your answer down below pls)
:L
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.4. What is the probability that no more than a fourth of the entry forms will include an order
0.1998 is the probability that no more than 4 of the entry forms will include an order.
Given the following information:
Treat subscription order with an entry form as a success.
P(subscription order with an entry form) = 0.4
Then the number subscription order with an entry form follows a binomial distribution, where
[tex]P(X = x) = nC_xp^x(1-p)^{n-x}[/tex]
where n is the total number of observations, x is the number of success, p is the probability of success.
Here, n = 16
[tex]P (x \leq 4) = P(x = 0) + P (x = 1) + P(x = 2) + P(x = 3)[/tex]
= [tex]16C_00.4^0(1-0.4)^{16} + 16C_10.4^1(1-0.4)^{15} + 16C_20.4^2(1-0.4)^{14}+ 16C_30.4^3(1-0.4)^{13}[/tex]
= 0.00028 + 0.0030 + 0.150 + 0.0468
= 0.1998
0.1998 is the probability that no more than 4 of the entry forms will include an order.
Know more about binomial distribution,
https://brainly.com/question/14524588
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Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 100 times. The probability that the average transport time was bigger than 27 minutes is
Answer: 0.9772
Step-by-step explanation:
Let X be a random variable that represents the transport time .
We assume X is normally distributed with a mean [tex]\mu=28\text{ minutes}[/tex] and a standard deviation [tex]\sigma=5\text{ minutes}[/tex].
Sample size : n= 100
The probability that the average transport time was bigger than 27 minutes:
[tex]P(\overline{X}>27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>-2)=P(Z<2)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.9772\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability =0.9772
what is the value of the expression below
Answer: 18.9 or 18 9/10
4/5 + 3/5 = 7/5
3.5 x 5 = 17.5
7/5 + 17.5
18.9 = 18 9/10
Answer:
decimal form: 18.9 Fraction Form: 18 9/10
Step-by-step explanation:
(4/5+3/5)+3.5 x 5=18.9
Add Parenthesis= 4/5 + 3/5 = 7/5
Put the numbers back together= 7/5 + 3.5 x 5
Turn the fraction into a decimal form: 7/5=1.4
Put the number back together= 1.4+3.5 x 5
Now you have to do PEMDAS: meaning you have to multiply first
3.5 x 5 = 17.5
Put the problems back together= 17.5+1.4=18.9
*The 9 has a number 10 on the bottom because it is the denominator.
Examples*1/10 10/100
What is elevation of tammys house
L
Square Root of 105
I need estimation & Process
I do not want 10.246950766 I need the Estimation of it
Answer:
10.25 (4 significant figures)
10.2 (3 significant figures)
hope this helps. :)
Consider the two planes.
Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane Q.
Answer:
line d.
Step-by-step explanation:
Answer:
C) line d
Step-by-step explanation:
just took the quiz on edge 2020
can anyone please help me solve this
Answer:
20+n=120
Step-by-step explanation:
help help help help help
Answer:
X=28 and <EBC= 62º
Step-by-step explanation:
2x+6+x=90
3x+6=90
3x+6-6=90-6
3x=90
3x/3=90/3
x=28
90-28=62
or
2(28)+6
56+6
<EBC= 62
On average, Claire drinks į of an 12-ounce glass of water in 24 hours. How many
glasses of water does she drink in one hour? Enter your answer as a whole number,
proper fraction, or mixed number in simplest form.
Help me please Brainliest to you
Answer:
1/2
Step-by-step explanation:
12÷24 = 0.5 = 1/2