Answer:
15% decrease
382.50-450 divided by 450 times 100
Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.
Based on previous data, here is the probability distribution of X along with summary statistics:
X = # of customers 0 1 2 3
P(X) 0.10 0.20 0.30 0.40
Mean: μx = 2
Standard deviation: σx = 1
Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip. What are the mean and standard deviation of Y?
Answer:
Mean y = 19 ; SD y = 10
Step-by-step explanation:
Given that:
No of customers : __ 0 ____ 1 _____ 2 ___ 3
P(x) : ___________0.10 __ 0.20 __0.30 _0.40
Fuel cost =$1 (constant)
Amount paid per customer =$10
Number of customers = x
σx = 1 ; μx = 2
σ^2 = 1^2 = 1
Mean of Y
μy = E(Y)
= E(10x - 1)
= 10(Ex) - 1
E(x) = 2
= 10(2) - 1
= 20 - 1
= 19
σY = SD(y)
SD(10x - 1)
10*SD(x) - 1
SD(x) = 1
10(1) - 0
Note : SD of a constant = 0
10 - 0
= 10
The mean of Y is 19 and the standard deviation of Y is 10 and this can be determined by using the given data.
Given :
Marcos owns and operates a shuttle service that runs every hour and transports customers between their hotels and the city's downtown area. Let X represent the number of customers on a randomly chosen trip.Standard deviation: σx = 1 Suppose that each trip costs Marcos $1 in fuel regardless of how many customers he has, and each customer on a trip pays him $10. Let Y represent Marcos' net gain from a randomly chosen trip.The mean of Y can be calculated as given below:
[tex]\rm \mu(Y)=E(Y)[/tex]
[tex]\rm \mu(Y)=E(10x - 1)[/tex]
[tex]\rm \mu(Y) = 10E(x) - 1[/tex]
According to the given data, the value of E(x) is 2. Substitute the value of E(x) in the above expression.
[tex]\rm \mu(Y) = 10(2) - 1[/tex]
[tex]\rm \mu(Y) = 19[/tex]
Now, the standard deviation of Y can be calculated as:
[tex]\rm \sigma_Y=SD(Y)[/tex]
[tex]\rm \sigma_Y=SD(10x-1)[/tex]
[tex]\rm \sigma_Y=10SD(x)-SD(1)[/tex]
The value of SD for a constant is zero.
[tex]\rm \sigma_Y=10(1)-0[/tex]
[tex]\rm \sigma_Y = 10[/tex]
For more information, refer to the link given below:
https://brainly.com/question/12402189
Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture?
Answer:
45%
Step-by-step explanation:
200g milk chocolate
200g dark chocolate
= 400g of chocolate
x = the %
x/100 = 180/400
18000 = 400x
x = 45
45%
need help plzzzzzxsss
what is the sum of 7 3/16+3/4
Answer:
7 15/16
Step-by-step explanation:
find the same denominator which is 16
3/4x4/4 = 12/16
7 3/16+12/16= 7 15/16
probably bad explanation but hope it helps.. :)
Answer:
Mixed number-7 15/16
Exact form-127/16
Decimal-7.9375
Step-by-step explanation:
Image P is shown in the coordinate grid Image P is translated 2.5 units to the right and 3.5 units up to create image P'.
6
Image P
1
2 3
4
Which rule describes this transformation?
Answer:
Here we do not have the image P, but let's solve this in a general way.
Suppose that we have a point A (x,y)
If we translate the point A n units horizontally (where n can be positive, translation to the right, or negative translation to the left.)
The new point will be (x + n, y)
if we translate the point m units vertically (if m is positive the translation is upwards, if m is negative the translation is downwards), the new point will be (x + n, y + m)
Then if our figure was p (x, y)
The new figure is p(x + 2.5, y + 3.5)
So for every point in the figure, we need to add 2.5 to the x component, and 3.5 to the y-component.
who ever helps gets brainliest.
Answer:
B is the answer
Step-by-step explanation:
0.40 is the correct answer
There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop. How many people got off the bus at the third stop?
Answer:
36
Step-by-step explanation:
so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.
517 37/50 + 312 3/100
Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
Given: ABCH and DCGF are parallelograms. Complete the proof below by choosing the correct statement for line number 3 and the correct reason for line number 4.
Answer:
∠BCH ⩭ ∠DCG ;Opposite angles of a parallelogram are congruent.
Step-by-step explanation:
What is the linear inequality that represents the graph shown?
Answer:2/4
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
Answer:
y<-1/3x+3
Step-by-step explanation:
The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).
The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).
To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))
(0)>-1/3(0)+3 (0)<-1/3(0)+3
0>0+3 (0)<+3
0>3 0<3
The one to the right, 0<3, is true so the sign is a less than sign.
Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Answer:
The other guy is wrong. The correct answer is Option C.
Step-by-step explanation:
It is a translation 2 units left, so (x+2)^2 is what you need here. It shifts up 3 units so that adds +3 on the outside. So f(x) = (x+2)^2 +3 or OPTION C
Consider the following quadratic equation:
10x2 = -15x
i need help asap!! using standard form ax^2+bx+c=0
PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(
5-7(9b-3d). D=3 b=9
Answer:
Subsitute (nothing hard)
5-7(9*9-3*3)
Combine
5-7(72)
Distibute left to right
-7*72= -504
5-504
-499
anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have equal amounts?
Answer:
Anna and Ojo will have same amount after 13 days.
Step-by-step explanation:
Given that:
Anna has 300 naira
She saves 50 naira per day.
Let,
x be the number of days.
y be the amount saved
y = 50x + 300
Ojo has 1860 naira
He spends 70 naira per day.
Let,
x be the number of days
y be the amount left
y = 1860 - 70x
For equal amount, the equations will be equal
50x +300 = 1860 - 70x
50x + 70x = 1860 - 300
120x = 1560
Dividing both sides by 120
[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]
Hence,
Anna and Ojo will have same amount after 13 days.
An airplane makes a 2,748-mile flight in 6 hours. What is the airplane's average rate of speed in miles per hour?
Answer:
speed=16,480 miles per hour or 16,480/hour.
Step-by-step explanation:
Distance=speed ×time
Sam and Marsha both solved the prime factorization of the number
120 and the table below shows their results. Who is INCORRECT? *
if you could also help with the question on the bottom please do.
Answer:
Sam is incorrect
Step-by-step explanation:
I am not a dependable source
3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
(10,5)(6,9)Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
Here:
[tex]\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)[/tex]
Thus,
[tex]\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)[/tex]
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
[tex]\left(x,\:y\right)=\left(8,\:7\right)[/tex]Subtract 2w + 4 from 3w + 6 please help!!
Answer:
w+10
Step-by-step explanation:
3w+6-2w+4=w+10
Answer:
Step-by-step explanation:
x subtracted from y means y-x
2w+4 subtracted from 3w+6= (3w+6)-(2w+4)
don't forgett to diestribute invisible -1
-(2w+4)=-1(2w+4)=-2w-4
so
3w+6-2w-4=
3w-2w+6-4=
1w+2=
w+2
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies, and 4 gold-wrapped candies. If 15 students select one candy at a time out of the bag without looking, and replace the candy after each draw, how many students would be expected to select a gold-wrapped candy from the bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
a
Step-by-step explanation:
it won't be 5
nor 60
and it won't be 15
What’s the answer to this problem
Answer:
1.2075
Step-by-step explanation:
Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)
Answer: 1.2075
Step-by-step explanation:
multiply 0.69*1.75 and u will get 1.2075
Brian has £98. Colin takes £y. How much is left?
£
Answer:
he has £98-y
Step-by-step explanation:
im not sure though
Q2.
Sarah wants a music magazine each month for a year. She can
pay £3.50 each month
or
pay £37.20 for the year.
Sarah pays £37.20 for the year. How much cheaper is this than paying £3.50 each month?
Maybe 4.80
Step-by-step explanation:
Please help me with my homework!
Alexis says she is thinking about a number whose absolute value is 19. What are the possible numbers she could be thinking of? Mark them on the number line.
Answer:
-19 and 19
Step-by-step explanation:
The only values that have an absolute value of 19 are -19 and 19.
if KL = LM and KJ = JM, find m ∠KJL
please, i really need your help!
A class has 24 people and 1/6 of them have blue eyes what fraction of class has blue eyes using 24 as denominator
Answer:
16/24
Step-by-step explanation:
4/6 = 16/24
Select all quadrilaterals that have 180 degree rotational symmetry,
A. trapezoid
B. isosceles tapezoid
parallelogram
D. rhombus
E. rectangle
F. square
Parallelogram and Rectangle has rotational symmetry of 180 degree.
Trapezoid has rotational symmetry = 360 degree.
Isosceles Trapezoid has rotational symmetry = 360 degree.
Parallelogram has rotational symmetry = 180 degree.
Rhombus has rotational symmetry = 90 degree.
Rectangle has rotational symmetry = 180 degree.
Square has rotational symmetry = 90 degree.
Learn more: https://brainly.com/question/20969283
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.