The mean commuting time for the particular train, assuming a uniform distribution between 20 and 50 minutes, is 35 minutes. This means that, on average, commuters can expect their commuting time to be around 35 minutes.
To calculate the mean commuting time, we need to find the average value of the uniformly distributed commuting time between 20 and 50 minutes.
In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. Since the distribution is uniform between 20 and 50 minutes, the PDF is constant over that interval.
The mean of a uniform distribution can be calculated using the formula:
Mean = (a + b) / 2
where 'a' is the lower limit of the distribution (20 minutes) and 'b' is the upper limit (50 minutes).
Plugging in the values into the formula, we get:
Mean = (20 + 50) / 2 = 70 / 2 = 35 minutes
The calculation is straightforward because in a uniform distribution, the mean is simply the average of the minimum and maximum values of the distribution.
In this case, the commuting time is equally likely to be any value between 20 and 50 minutes. So, on average, commuters can expect a mean commuting time of 35 minutes.
It is important to note that the mean represents the average value and may not necessarily reflect the most frequently occurring commuting time. In this case, there is an equal likelihood of any time within the given range.
For more such information on: mean
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Solve −2(2x + 5) − 3 = −3(x − 1)
Answer:
x= -16
Step-by-step explanation:
distribute -2
-2 * 2x =-4x
-2 * 5 = -10
-4x - 10 -3 = -3 (x-1)
distribute -3
-3 * x = -3x
-3 * -1 = 3
-4x - 10 -3 = -3x + 3
combine like terms
-4x -13 = -3x + 3
-4x + 3x = -x
3 + 13 = 16
-x = 16
divide by -1
x = -16
Answer:
x = -16
Step-by-step explanation:
-2(2x + 5) - 3 = -3(x - 1)
-4x - 10 - 3 = -3x + 3
-4x - 13 = -3x + 3
-x = 16
x = -16 <--- This is the answer
Hope this helps!
A fruit juice company includes 1.226 ounces of juice in a 6.75 -ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT juice?
Answer:
5.524 i think
Step-by-step explanation:
It'd be 5.524 becuase you just subtract 1.226 from 6.75
sovle number 8 pls and thankyou
Answer:
1/3125
Step-by-step explanation:
5^-2-3
=5^-5
=
1/5^5
= 1/3125
A series of properties, rules, or laws associated with mathematical operations and equality. *
Answer: Operations properties
Step-by-step explanation:
Operations properties are a series of properties, rules, or laws associated with mathematical operations and equality.
There are 4 operations properties namely: Commutative(applies to addition), Associative (also applies to addition), Distributive (applies to addition and multiplication) and Identity (applies to addition and multiplication).
Alexis babysits for two families. Mr. and Mrs. Cox pay her $5 an hour to babysit for their daughter Mia. Mr. and Mrs. Stevens pay Alexis $9 an hour to babysit
for their children Jonathan, Beth, and Joshua.
Part Ause the variable x for the number of hours Alexis babysits for the Cox family. Write an equation to represent the amount she earns babysitting for this
family.
Answer:
I'll just answer all three for you. Part A: y=5x+0 Part B: $32.50. Part C: 9 hours and 30 minutes.
Step-by-step explanation:
Part A: The $5 is the independent variable, because it adds every hour. So the equation is y=5x+0, because hse starts with no money at the begginning.
Part B: 5x6.5=32.50.
Part C: 5x9.5=47.50
What is the slope and y intercept
Answer:
The slope is 1
The y-intercept is 2
Step-by-step explanation:
Hope this helps, mind giving me the brainliest? :)
Answer:
You h
Step-by-step explanat
1 is the slope, and 2 is the y intercept. TRUST ME.
Solve for X pleaseeee
Answer:
The answer is fifteen because 24 divided by 8 is 3 and 5 x 3 is 15
Please Help!! Brainliest Answer! Thank you
Answer:
A
Step-by-step explanation:
O = 26.6
P is a right angle so:
P = 90
angles PQO = 180
To determine Q: triangle total - (P + O)
180 - (90 + 26.6)
180 - 116.6 = 63.4
Q = 63.4
To determine side lengths: a^2 + b^2 = c^2
4^2 + b^2 = c^2
*Variable c is always hypotenuse*
Need more information so find either b or c through SOH, CAH, TOA
SOH: sine = opposite/hypotenuse
CAH: cos = adjacent/hypotenuse
TOA: tan = opposite/adjacent
tan26.6/1 = b/4
Cross multiply
1 × b = 4 × tan26.6
b = 4tan26.6
b = 2.003050791
b is about 2
b = PQ
PQ = 2
Plug b value into pythagorean theorm
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
square root of 20 = square root of c^2
4.47213.... = c
c is about 4.47
c = QO
Answer:
A. ∠Q = 63.4°, PQ = 2, PQ = 4.47Step-by-step explanation:
∠Q = 180 - 90 - 26.6
∠Q = 63.4°
side PQ
use opp. = tanФ (adj.)
PQ = tan(26.6) x 4
PQ = 2
side QO
use Pythagorean
PQ² = PO² + PQ²
PQ² = 4² + 2²
PQ = [tex]\sqrt{16 + 4}[/tex]
PQ = 4.47
Look at image please help I’m struggling
Answer:
1.50
Step-by-step explanation:
if you look at the placemend of the points when 3 was on the y 2 was on the x. When 1 is on the x the y is 1.5. Sorry if I’m too late
PLease answer ASAP thank you
Answer:
It 12 units!!!!
Step-by-step explanation:
-8+8=0
0+4=4
8+4=12!!!
gl ;)
Two times the sum of a number and 8 subtracted from the number equals 6. What is the number that makes this statement true?
Answer:
7
Step-by-step explanation:
let the no. be 'x'
By question,
2x-8=6
or, 2x =6+8
or,2x = 14
or,x = 7
therefore, the no. is 7.
What is 8.04 × 101?
0.804
8.04
8.4
80.4
Answer:
812.04
Step-by-step explanation:
Answer:
812whdbniyqwteyw9q08uehb
Step-by-step explanation:
idkfu
Rachel was answering #4 on the last mini assessment
and below is her answer. What was the mistake she
made?
Evaluate the expression a + b-C, a = 0, b = 8, and c = -6.
a + b-C
0 + 8 - 6
2
What did she do wrong?
Answer:
What she did wrong, was 6 is a negative number, and she subtracted it like a positive. The real answer is 14
Step-by-step explanation:
Sorry if this is sloppy, I was using a touchpad on a chromebook
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent
minutes sketching
Answer:
12 divided by m
Step-by-step explanation:
Match the following.
1. composite number
2. prime factor
3. prime number
4. greatest common factor
5. factor
A. a whole number greater than one that has exactly two positive factors: one and itself
B. a whole number greater than one that has more than two positive factors
C. a prime number that divides evenly into a given number
D. the largest number that divides evenly into two or more given numbers
E. a number that divides evenly into a given number
Answer:
A-3, B- 1, C- 2, D- 4, E- 5Step-by-step explanation:
A. a whole number greater than one that has exactly two positive factors: one and itself
3. prime numberB. a whole number greater than one that has more than two positive factors
1. composite numberC. a prime number that divides evenly into a given number
2. prime factorD. the largest number that divides evenly into two or more given numbers
4. greatest common factorE. a number that divides evenly into a given number
5. factorAnswer:
a-3
b-1
c-2
d-4
e-5
Step-by-step explanation:
a whole number greater than one that has exactly two positive factors: one and itself= prime numbera whole number greater than one that has more than two positive factors= composite numbera prime number that divides evenly into a given number= prime factorthe largest number that divides evenly into two or more given numbers= greatest common factora number that divides evenly into a given number= factorFind the square root.
−√1/900 =
Answer:
-1/30
Step-by-step explanation:
This should be correct because I plugged it into a calculator
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 119x + 73
Answer:
294.3 ftStep-by-step explanation:
Given function
y = -16x^2 + 119x + 73This is quadratic function
It reaches the maximum value at vertex, which is calculated by the formula:
x = -b/2aSubstituting values
x = -119/2*(-16) = 3.71875y-value of same point is
y = -16*3.71875^2 + 119*3.71875 + 73 = 294.265625 ≈ 294.3 ftSo maximum height is 294.3 ft
The equation we have is:
[tex]y = { - 16x}^{2 } + 119x + 73[/tex]
This is equation of a parabola that opens down.
To find the maximum point or the maximum height, we need to find the vertex of the parabola.
First, let's define variables:
A will be the coefficient of the x squared.
b is the coefficient of the x and
C is the independent term:
[tex]a = - 16 \\ b = 119 \\ c = 73[/tex]
The vertex of will have the following x coordinate:
[tex]x = - \frac{b}{2a} [/tex]
Substituting the values of a and b:
[tex]x = - \frac{119}{2( - 16)} [/tex]
Solving the operations:
[tex]x = - \frac{119}{ - 32 } \\ x = 3.71875[/tex]
The next step is to substitute this x value into our equation to find the maximum height y:
[tex]y = { - 16x}^{2} + 119x + 73 \\ \\ substituting \: x = 3.71875 \\ \\ y = - 16(3.71875)^{2} + 119(3.71875) + 73[/tex]
Solving the operations:
[tex]y = - 16(13.8291) + 442.49555 + 73 \\ \\ y = 294.23[/tex]
Rounding to the nearest tenth (1 decimal place)
y=294.2
Answer: 294.2 feet.
Dontina is ordering uniforms for her employees. The company Dontina is ordering from charges $18 per uniform and a shipping fee of $7.
Based on this information, which function can be used to represent the relationship between the total cost, c, and the number of uniforms Dontina orders, n?
c = 18n + 7
c = 7n + 18
c=18n−7
c=7n−18
Answer:
c = 18n + 7
Step-by-step explanation:
Given the following data;
Total cost is represented by c
Number of uniforms ordered is represented by n
Shipping fee = $7
Cost per uniform = $18
The total cost is equal to the amount of money spent on ordering each uniform ($18) plus the shipping costs ($7).
Translating the word expression into an algebraic equation, we have;
c = 18n + 7
For example, if Dontina is ordering 10 uniforms for her employees.
n = 10
Substituting the value of n into the equation, we have;
c = 18(10) + 7
c = 180 + 7
c = $187
Therefore, the total cost incurred by Dontina in ordering 10 uniforms for her employees is $187.
Please Help!! Brainliest Answer !! Thank you
Answer:
The answer is D 2.4
Just work it out
Answer:
D)2.4
Step-by-step explanation:
Using cosine rule
a²=b²+c²-2bc cos A
a²=1.2²+1.4²-2(1.2)(1.4)cos 134°
a=2.4
Hope my answer can help you
Please let my answer as Brainliest!!! TQ
Andy used a scale of inch = 2 feet for a drawing of his house. On the
2
drawing, a rectangular room measures 3 inches by 2 inches. Andy
wants to purchase new carpet for the room that costs $4.89 per square
foot. Before sales tax, how much will the new carpet cost?
Answer:
$117.36
Step-by-step explanation:
The room is 3 by 2 inches, so to convert this to feet you need to multiply both by 2. This is because the scale is one inch equals two feet.
3 x 2 = 6
2 x 2 = 4
The room is 6 by 4 feet. Find the Area of the room by multiplying these two numbers together
6 x 4 = 24
The room is 24 ft^2. If the carpet costs $4.89 per square foot, just multiply the cost by the area of the room.
24 x 4.89 = 117.36
The cost to carpet the room is $117.36
Find the slope of a line that passes through the points (-5,8) and (9,3)
[tex]m=\frac{y2-y1}{x2-x1}\\ m=\frac{3-8}{9-(-5)}\\\\ m=\frac{-5}{9+5}\\\\ m=\frac{-5}{14}\\\\ m=-\frac{5}{14}\\[/tex]
Therefore, the slope of the line is m = -5/14
D=m/v solve for v. Please help kinda urgent
Answer:
v = m/D
Step-by-step explanation:
Step 1: Write equation
D = m/v
Step 2: Multiply both sides by v
Dv = m
Step 3: Divide both sides by D
v = m/D
20 POINTS IF YOU ANSWER THE QUESTIONS !!
Answer:
Step-by-step explanation:
Minutes is the x axis, and Distance is the y axis.
At 1 minute it looks like Cassie ran much less than 20 yards and Hector ran much further than 20 yards, so Hector started running faster.
Looking at the y axis at 100yards, it looks like Cassie finished at exactly 5 minutes, but Hector only made it to 80 yards. So Cassie won because it was a 100-yrd race.
You can see Hector stopped and rested for 1 minute once he reached 60-yrds. He stopped after 2 minutes.
Answer:
he is correct and smart
Step-by-step explanation:
please help asap I need help I am being timed
How do I find the sum of the measures of the marked angles?
Answer:
The sum of the marked angles = Total angles on the 4 straight lines – Sum of the interior angles of the quadrilateral. Sum of interior angles of polygon of 4 sides = (4 – 2) *1800 =3600
Hence, sum of the marked angles = 4 * 180° – 360° = 720° – 360° = 360°
Step-by-step explanation:
Hope it helps
if babysitting you make $6 for the first hour and $2.50 for every hour after, how many hours do you
have to work to make $16?
Shawna wants to draw a scaled copy of her yard. Her yard is a rectangle with length 5cm and width 6cm. Name the dimensions of the scale drawing of the yard, using a scale of 1cm = 25 m. The length across Shawna's trampoline is 3m. How long should this length be be on the drawing? Shawna's garden has the dimensions of 1cm by 1cm. What is the actual area of her garden?
Step-by-step explanation:
Given that the scale of the drawing is
1cm = 25 m
also given that Shawna's trampoline is 3m
on drawing it will be
1cm-----25m
xcm----3m
cross multiply we have
x=3/25
x=0.12cm
Also given that Shawna's garden has the dimensions of 1cm by 1cm
the actual area would be 25m*25m
area= 625m^2
My messaging aren't working. What do i do to fix it because every time it says i have a message i look and it's not their.
Answer:
This happens to me also. When i click on it it can say go to inbox and sometimes it will show up there. If not then it will sometimes transfer the ¨messages ¨ into your regular notifications with the bell symbol.
Step-by-step explanation:
Hope this helps
2(m-n)=pz
Solve for m?
Answer:
m = [tex]\frac{pz+2n}{2}[/tex]
Step-by-step explanation:
Given
2(m - n) = pz ← distribute parenthesis on left side
2m - 2n = pz ( add 2n to both sides )
2m = pz + 2n ( divide both sides by 2 )
m = [tex]\frac{pz+2n}{2}[/tex]
what is 5/8 divided by 1/4
2/5
3/4
1 1/4
2 1/2
