Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi
Answers
Answer:
P(x=4) = 0.4
Step-by-step explanation:
The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.
f(x)= 1/ b-a a≤ x≤ b
Here a = 0 and b= 10 but we want to know the probability of wait time between 4 minutes and 10 minutes
P (X=x) = (x-a) 1/(b-a)
P(x=4) = (4-0) 1/ 10-0
= 4/10= 0.4
Related Questions
I need help on this question
Answers
Sam currently has $48 in savings. He had been saving S6 each week. Yesterday he spent $90 of the savings. For how many weeks had he been
saving?
(a) Write an equation that could be used to answer the question
above. First, choose the appropriate form. Then, fill in the blanks
with the numbers 48, 6, and 90. Let w represent the number of
weeks.
(b) Solve the equation in part (a) to find the number of weeks.
w = ?
Answers
Step-by-step explanation:
90 + 48 = 6w
138 = 6w
23 = w
.....
A table of values of a linear function is shown below.
Answers
I don't ever understand this !
50 points! Solve the following systems of equations.
Answers
Let -4x - 15y = 17 be known as equation 1 and -x + y = -13 as equation 2.
To solve the system of equations, we need to determine the value of the "x" and "y" variables. Let us start by determining the value of the y variable.
Note: Since the second equation looks easier to solve for y (in my opinion), I will determine the value of y in the second equation.
This can be done by isolating y on one side of the equation.
Equation 2: [tex]\bold{-x + y = -13}[/tex]
Add "x" on both sides of the equation:
[tex]\implies -x + y = -13[/tex]
[tex]\implies -x + y + x = -13 + x[/tex]
[tex]\implies y = -13 + x[/tex]
Therefore, the value of y is -13 + x. Let us substitute the value of y, obtained from equation 2, into equation 1 to determine the value of x.
Equation 1: [tex]\bold{-4x - 15y = 17}[/tex]
Substitute the value of y in the equation:
[tex]\implies 4x - 15y = 17[/tex]
[tex]\implies -4x - 15(-13 + x) = 17[/tex]
Simplify the distributive property:
[tex]\implies -4x - 15(-13 + x) = 17[/tex]
[tex]\implies -4x + (195 - 15x) = 17[/tex]
[tex]\implies -4x + 195 - 15x = 17[/tex]
Combine like terms on both sides:
[tex]\implies -4x + 195 - 15x = 17[/tex]
[tex]\implies -19x + 195 = 17[/tex]
Subtract 195 on both sides of the equation:
[tex]\implies -19x + 195 = 17[/tex]
[tex]\implies -19x + 195 - 195 = 17 - 195[/tex]
[tex]\implies -19x = -178[/tex]
Divide -19 on both sides of the equation:
[tex]\implies -19x = -178[/tex]
[tex]\implies \dfrac{-19x}{-19} = \dfrac{-178}{-19}[/tex]
[tex]\implies \bold{x = \dfrac{178}{19} }[/tex]
Now, substitute the value of x in -13 + x to determine the value of y. Once determined, we can put the solution in (x, y) form.
[tex]\implies y = -13 + x[/tex]
[tex]\implies y = -13 + \dfrac{178}{19}[/tex]
[tex]\implies y = \dfrac{-247}{19} + \dfrac{178}{19}[/tex]
[tex]\implies \bold{y = \dfrac{-69}{19} }[/tex]
∴ Solution ⇒ (x, y) ⇒ (178/19, -69/19)
Therefore, the solution to the following system of equations is (178/19, -69/19)
Learn more about system of equations: https://brainly.com/question/13024262
PLEASE HELP!!!!!!!!!!There are 12 boys and 8 girls in a class.
If 2 more girls join the class, what is
the new ratio for the number of boys to
the number of girls in the class?
Answers
Answer:
12:10 or 6:5
Step-by-step explanation:
If 2 more girls join, the ratio will be 12:10 or 6:5.
Complete each of the diamond problems below
Answers
Bottom missing diamond -6+1=-5
B. Right missing diamond -5+3= -2
Top missing diamond 3x-2= -6
C. Right missing diamond 11.2-1.2= 10
Top missing diamond 1.2x10= 12
D left missing diamond 6
Right missing diamond 4
What is the equation of this line?
Please Help
Y=4x
Y=-1/4x
Y=-4x
Y=1/4x
Answers
Answer: Y=-1/4x
Step-by-step explanation:
A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).
The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).
Putting these two values together we get:
m (slope) = rise / run
m = -1 / 4
Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:
y = (-1/4)x
A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?
Answers
Answer:
2.85 x 2 is equal to 5.7 so that should be the answer
Step-by-step explanation:
Did it on calculator sorry if wrong lol
Answer:
$5.70
Step-by-step explanation:
6 muffins is half a dozen, so double $2.85 and you get $5.70.
Help asap i will do brainlist and everything
Answers
Answer:
the picture isnt showing
255.6 grams to ounces
Answers
Answer:
9.016025oz
Step-by-step explanation:
Answer: 9.016
Step-by-step explanation:
for an approximate result, divide the mass value by 28.35
PLEASE SOMEONE HELP ME I NEED THIS ASAP PLEASE HELP ME I BEG YOU .....
Answers
Answer:
9.57
Step-by-step explanation:
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?
Explain your answer using complete sentences.
Answers
Answer:
2 rows of 41
Step-by-step explanation:
....... i think
I have the same question, and I have nothing in my brain....-_-''
Pleaseee Helppppp
Find the minimum value of the function f(x) = x2 + 12x + 31.5 to the
nearest hundredth.
Answers
Answer:
The answer is pie
Step-by-step explanation:
I know best
Answer:
x = -6.00 (rounded to nearest hundredth)
Step-by-step explanation:
for a quadratic equation, [tex]h(x)=ax^2+bx+c[/tex] we have [tex]f(x)=x^2+12x+31.5[/tex] a = 1 b = 12 to find minimum use equation [tex]x=\frac{-b}{2a}[/tex] [tex]x=\frac{-b}{2a}\\x=\frac{-(12)}{2(1)}\\x=\frac{-12}{2}=-6[/tex]Describe the transformation that takes f (x) = x + 1 To g (x) = -x + 4. [ Please No Plagiarism and Will mark brainliest . .
Answers
Answer:
fliped over y axis and moved up 3
Step-by-step explanation:
fliped over y axis (changed x to -x) and moved up 3 (changed +1 to +4)
Answer:
why did you delete my answer HUH?
Step-by-step explanation:
Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.
Answers
Answer:
The answer is "0.0764"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]
[tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]
[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]
[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]
Your packaging orders at green market food suppliers.each crate holds four large bottles one in each quadrant identify the mixed fraction in simplified form of bottles in the tow crates in the drawing
Answers
Answer: 1/2
Step-by-step explanation:
Answer:
1 and 1/2
Step-by-step explanation:
A farmer takes 1 week to fill 5 bins of squash. At this rate, how long will it take to fill 350 bins?
Answers
Answer:
490 days or 70 weeks
Step-by-step explanation:
Time needed for the farmer to fill 1 bin of squash:
7 days (1 week) divided by 5 = 7/5 days
Time needed to fill 350 bins:
350 x 7/5 days = 490 days or 70 weeks
Can someone please help me with this question this is due today
Answers
Answer:
Jamie is 56 years old and savannah is 24 years old
Step-by-step explanation:
60 split in half 30, then savannah is 16 years younger than jamie so u subtract 16 from 30 and u get 14, then u add the 16 to the other 30 and get 46. Then you add 10 to each of those numbers.
Savannah is 32
Cuz 10 years ago jamis was 38 and savannah was 22 ans the sum is 60 and the difference between them is 16.
$28.35 bill; 6.25% tax;
20% tip (before tax)
please help!!!!!
Answers
(PLEASE HELP I WILL MARK YOU AS BRAINLIEST!)
Dessie can type twice as many words per minute as Jasmine.
Define a variable:
Jasmine:
Dessie:
Answers
Answer:
jasmine: x
dessie: 2x
hope it helps
please mark me brainliest
The variables as per the given statement for jasmine and Dessie will be x and 2x.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the instructions provided in the question,
Dessie can type twice as compared to Jasmine per minute.
Let's assume that Jasmine can type x words per minute.
Then,
Twice Jasmine will be equal to 2x.
Then, the words typed by Dessie will be 2x per minute.
To know more about the expression:
https://brainly.com/question/14083225
#SPJ2
Evaluate the expression.
20² + 6(9 + 3) =
Answers
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answers
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts
determine which equation below have x =15 as a solution
Answers
Answer:
x-30=-15
Step-by-step explanation:
x-30=-15
subtact 30 from both sides
In 2012, Indonesia experienced an intense earthquake with a magnitude of 8.6 on the Richter scale. In 1952, Uganda experienced an earthquake that measured 6.5 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answers
Answer:
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and convert to exponential form.
R=logI
2012 earthquake:
8.6I=logI=108.6
1952 earthquake:
6.5I=logI=106.5
Form a ratio of the intensities.
intensity for 2012intensity for 1952
Substitute in the values and divide by subtracting the exponents to find
108.6106.5102.1≈126.
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Your answer:
The intensity of the 1952 earthquake was about 110 times the intensity of the 2012 earthquake.
Answer:
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and convert to exponential form.
R=logI
2012 earthquake:
8.6I=logI=108.6
1952 earthquake:
6.5I=logI=106.5
Form a ratio of the intensities.
intensity for 2012intensity for 1952
Substitute in the values and divide by subtracting the exponents to find
108.6106.5102.1≈126.
The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.
Summer used of her ground beef to make burgers. If she used pounds of beef, how much beef did she have at first?
Do not include units (pounds) in your answer.
Answers
All you need is on the photo
Answers
Answer:
[tex]4^{-3}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\4^4*4^{-8}*4\\We\ know\ that,\ for\ any\ real\ number\ n, n^a*n^b=n^{(a+b)}\\Hence,\\First,\ lets\ write\ all\ the\ terms\ in\ an\ exponential\ form.\\4^4*4^{-8}*4^1\\=4^{(4+(-8)+1)}\\=4^{(5-8)}\\=4^{-3}[/tex]
What is the equation of the line that passes through the point (2,0) and has a slope of 5/2
Answers
y = 5/2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5/2 , thus
y = 5/2x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = 5/2x - 5 ← equation of line
Henry bought 8 DVDs for $19.99 each. How much does Henry spend on the DVDs?
Please Help :))
Answers
Answer:
$159.92
Step-by-step explanation:
8x19.99=$159.92
3n+14=-4 =?
Please do this this right (my grade depends on it)
Answers
Answer:
Step-by-step explanation:
-6
3n = -18
divide both sides by 3
n = -6
A cruise ship traveling at a constant rate of speed was 192 miles from port after 8 hours and 600 miles from port after 25 hours.
i need to know. i have an f in math and i need to bring my grade up ASAP!!!
Answers
Answer:
THE IS ANSWER IN THE ATTACHMENT