Answer:
a
[tex]\mu_x =7.5 \ minutes [/tex]
b
[tex]\sigma_{x} = 4.33 \ minutes [/tex]
c
[tex]P(5 < X < 11 ) = 0.4 [/tex]
d
[tex]P(W = 4 ) = 0.228[/tex]
Step-by-step explanation:
From the question we are told that
The interval is [tex](w , y) = (0 , 15)[/tex]
Considering question a
Generally the mean waiting time is mathematically represented as
[tex]\mu_x = \frac{w + y}{2}[/tex]
=> [tex]\mu_x = \frac{0 + 15}{2}[/tex]
=> [tex]\mu_x =7.5 \ minutes [/tex]
Considering question b
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \frac{y - w}{\sqrt{\sqrt{12} } }[/tex]
=> [tex]\sigma_{x} = \frac{15 - 0}{\sqrt{\sqrt{12} } }[/tex]
=> [tex]\sigma_{x} = 4.33 \ minutes [/tex]
Considering question c
Generally the probability density function for a random variable X is
[tex]f(x) = \left \{ {{ \frac{1}{y} \ \ \ \ \ 0 < X < y } \atop {0} \\ \ \ \ Otherwise} \right.[/tex]
=> [tex]f(x) = \left \{ {{ \frac{1}{15} \ \ \ \ \ 0 < X < 15 } \atop {0} \\ \ \ \ Otherwise} \right.[/tex]
Generally the probability that the waiting time is between 5 and 11 minutes is mathematically represented as
[tex]P(5 < X < 11 )= \int\limits^{11}_{5} {f(x)} \, dx[/tex]
=> [tex]P(5 < X < 11 )= \int\limits^{11}_{5} {\frac{1}{15}} \, dx[/tex]
=> [tex]P(5 < X < 11 ) = \frac{1}{15} x | \left \ 11 } \atop {5}} \right.[/tex]
=> [tex]P(5 < X < 11 ) = \frac{1}{15} [ 11 - 5][/tex]
=> [tex]P(5 < X < 11 ) = 0.4 [/tex]
Considering question d
Generally the probability the waiting time is less than 5 minutes is mathematically represented as
[tex]P(X < 5) = \int\limits^5_{-\infty} {\frac{1}{15} } \, dx[/tex]
Given that time cannot be negetive
[tex]P(X < 5) = \int\limits^5_{0} {\frac{1}{15} } \, dx[/tex]
[tex]P(X < 5) = \frac{1}{15} * x | \left \ 5 } \atop {0}} \right.[/tex]
[tex]P(X < 5) =0.33.[/tex]
Generally the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings follows a binomial distribution because the number of trial is finite i.e 10 the probability of success is probability that the waiting time is less than 5 minutes and probability of failure is probability that the waiting time is not less than 5 minutes(i.e there is only two outcome )
Hence for a random variable K representing the number of times in the total of 10 mornings that the waiting is less than 5 minutes then
The probability the random variable(W) is exactly 4 is mathematically represented as
[tex]P(W = 4 ) = ^{10}C_4 * (0.33)^4 * (1- p)^{10 -4}[/tex]
Here C denotes combination
So
[tex]P(W = 4 ) = 0.228[/tex]
If f(x) = -2x – 3 and g(x) = x2 – 1 find f(-3) + g(3).
Answer:
Step-by-step explanation:
g ( f ( x ) ) = ( x+ 3) ^2
2/3x=4 what is the answer?
Answer:
x=6
Step-by-step explanation:
Your answer would be x = 6.
The only step is to divide by 2/3 on both sides of the equation.
A) 1066.5 km
C) 979.2 km
B) 804.2 km
D) 1027.7 km
Answer: Choice B)
[tex]804.2 \text{ km}^3[/tex]
This value is approximate.
======================================================
Work Shown:
[tex]V = \pi*r^2*h\\\\V = \pi*8^2*4\\\\V = 256\pi\\\\V \approx 804.248 \text{ km}^3\\\\V \approx 804.2 \text{ km}^3\\\\[/tex]
I used the calculator's stored version of pi to get the most accuracy possible.
Tom brought a board that was 7/8 of a yard long. he cut of 1/2 a yard.how much was left
Answer:
3/8
Step-by-step explanation:
7/8- 1/2 which is equivilient to 4/8 is 3/8
For every 15 seventh graders in band, there are 20 eighth graders. What is the ratio of eighth graders to seventh graders?
Answer:
The answer is 20:15, or 4:3 simplified
Hi no fake answer or links, if you put any you will be reported! If correct I will give brainliest!
Answer:
The answer is the first one this is because you have to distribute the 9 to all the values in the brackets
Step-by-step explanation:
A car’s odometer measures distance to the nearest 0.1 miles. Which is the most appropriate way to report the distance driven using the car’s odometer?
A. 182 miles
B. 200 miles
C. 181.7 miles
D. 181.77 miles
Answer:
C. 181.7 miles
Help!!!!!!!!!!!!!!!!!!
Answer:
16ft
Step-by-step explanation:
It would be 16 feet because if you multiply 8 by 2 feet, you get 16ft.
what is notational representation for right hand limit
For the right handed limit we now have x → a + x → a + (note the +) which means that we know will only look at x>a. the left handed limit we have x → a− x → a − (note the -) the means that we will only be looking at x < a
[tex]hope \: its \: helpful \: to \: you[/tex]
Need answer ASAP!!!!!! will give brainliest and 50 points!!!!!!!!!!
Use vector operations to draw the resultant vector.
b) Draw 2u – 1 /3 v.
Vectors are elements of the vector space, and they can be illustrated by diagrams.
How to draw the vector 2u - 1/3vThe vector expression is given as:
2u - 1/3 v
Split the vector expressions, as follows:
[tex]y_1 = 2u[/tex]
[tex]y_2 = -\frac13v[/tex]
See attachment for the graphs of y1 and y2.
Next, we have:
[tex]y = 2u - \frac13v[/tex]
So, we have:
[tex]y = y_1 + y_2[/tex]
The above expression means that, we add the vectors y1 and y2 to get vector y
See attachment for the graph of 2u - 1/3 v
Read more about vectors at:
brainly.com/question/14480278
draw a square that is not a rhombus
Answer:
It is impossible
Step-by-step explanation:
A square has 4 right angles, a rhombus doesn't have that property therefore, it is impossible
A triangle shaped paper has sides with lengths of 30 inches, 40 inches, and 50 inches. Is it a right triangle?
Answer:
Yes it is
Step-by-step explanation:
30^2+40^2+50^2
900+1600=2500
2500=2500
so yes it is
pleas can yall help me pleas
Answer:
$60.00
Step-by-step explanation:
You have a Sweatshirt business you’re selling each Shirt for $20 a piece, If each shirt costs you
$45 a piece to make, how much would you make. If you sell 30 sweatshirts in one day
(Write 2 linear equations and solve)
Answer:
I don't know
Step-by-step explanation:
it depends on your definition and question
Round 235,414 to the nearest Tens
Answer:
235,414 rounded to the nearest tens is 235,410
Step-by-step explanation:
Hope that helps!
Step-by-step explanation:
Round 235,414 to the nearest Tens
235,414
235,410
I hope this helps
A friend lends you $150 for a week, which you agree to repay with
4% one-time interest. How much will you have to repay?
Answer:
174
Step-by-step explanation:
Pls help image shows question
you add up to the origin then divide your welcome
Sarah works two jobs over the summer. She is a waitress, earning $11 per hour, and she is also a babysitter for three kids, earning $18 per hour. Sarah currently waitresses 16 hours and babysits 3 hours a week. She would like to increase her babysitting hours and decrease her waitressing hours by the same number of hours. Write an expression to represent how this change would affect her weekly income.
HELP PLZ
Answer:
Step-by-step explanation:
Before the change she made $230 a week because 11x16=176 + 18x3= 54
but after the change she would make $321 a week because 18x16= 233 + 11x3= 33
A ten foot board is to be cut into two pieces so that the longer piece is three times the length of the shorter. Find the length of each piece.
Written in the given rational numbers into the correct
Answer:
In order from left to right: [tex]-\frac{4}{3}, -\frac{4}{5}, -\frac{2}{3}, \frac{7}{10}, \frac{7}{8}[/tex]
Step-by-step explanation:
[tex]-\frac{4}{3}[/tex] is the only improper fraction because the numerator is greater than the denominator and since it is negative, that means that it is the least.
[tex]-\frac{4}{5}[/tex] as the decimal -0.8 is closer to -1 than [tex]-\frac{2}{3}[/tex] as the decimal -0.666...
[tex]\frac{7}{8}[/tex] as the decimal 0.875 is closer to one than [tex]\frac{7}{10}[/tex] as the decimal 0.7...
What is the median of the data displayed in this box-and-whisker plot?
42
49
54
57
Answer:
49
Step-by-step explanation:
because it is the middle
The point X divides the line P Q in the ratio [3:4]. The length of PX
is what fraction of the length of P Q?
Answer:
Step-by-step explanation:
3+4=7
so it is 3/7 part of PQ
solve the literal equation for y.
Answer:
2B / (mx) = y
Step-by-step explanation:
B = 1/2 mxy
Multiply each side by 2
2B = 2* 1/2 mxy
2B = mxy
Divide each side by mx
2B / (mx) = mxy / (mx)
2B / (mx) = y
Answer:
[tex] \huge y = \frac{2B}{mx} \\ [/tex]
Step-by-step explanation:
[tex]B = \frac{1}{2} mxy \\ [/tex]
Multiply through by 2 to eliminate the fraction
That's
[tex]mxy = 2B[/tex]
Divide both sides by mx to make y stand alone
We have
[tex] \frac{mxy}{mx} = \frac{2B}{mx} \\ [/tex]
We have the final answer as
[tex]y = \frac{2B}{mx} \\ [/tex]
Hope this helps you
Round 0.004, I will give brainliest if the answer is right. Thank you.
Answer:
if it is to the nearest 100th then its 0.00
brainliest? :(
Suppose that the functions f and g are defined for all real numbers x as follows.
Write the expressions for (f * g)(x) and (f - g)(x) and evaluate (f + g)(1).
Answer:
[tex](f\cdot g)(x)=2x^2+10x+12[/tex]
[tex](f-g)(x)=-x-1[/tex]
[tex](f+g)(1)=10[/tex]
Step-by-step explanation:
[tex]\tt f(x)=x+3[/tex]
[tex]\tt g(x)=2x+4[/tex]
[tex](f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12[/tex]
[tex]=2x^2+10x+12[/tex]
[tex](f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4[/tex]
[tex]=-x-1[/tex]
[tex](f+g)(1)=f(1)+g(1)=1+3+2(1)+4[/tex]
[tex]=4+2+4=10[/tex]
~
kelly is reading a 288 page book
during the past 8 days she has read 192 pages. at this rate how many. more days will it take her to complete the book?
4days
5 days
6 days
7 days
Answer:
4 days
Step-by-step explanation:
4*192/8, after solving that you get 96. Add 96 to the amount she already read which is 192. 192+96=288.
Hope this helped :)
Please help A.S.A.P
( I will mark brainliest
Answer:
A, C, E
Step-by-step explanation:
If x+3/3 = y+2/2, then x/3 =
Answer:
y/2
Step-by-step explanation:
x/3 + 3/3 = y/2 + 2/2
x/3 + 1 = y/2 + 1
x/3 = y/2
what is the answer to the calculation
.02+2(.12-.02)=?
someone helpppp asap
Answer:
its b, because they are using that formula to get the answer! And I also need brainliest really badly!