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:
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Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?
Answer:
-
Step-by-step explanation:
Every rational number is an integer.
True
False
======================================================
Explanation:
A counter-example could be something like 2/3 which is rational, but not an integer since 2/3 = 0.67 has a fractional or decimal portion to it. An integer is one where its a positive or negative whole number. Zero is also an integer.
Any rational number is a ratio or fraction of two integers. Zero is not allowed in the denominator. Any integer is a rational number since x = x/1, where x is any integer. For example, 9 = 9/1.
Answer:
False
Step-by-step explanation:
Rational numbers include all integers, fractions, or terminating and repeating decimals.
Find the slope of a line parallel to the line through the points. ises 11.3. omplete the following: (c) (10, 6) and (10, 10)
Answer:
cv vfgvbgfgvd
Step-by-step explanation:
This is a solid bounded by a curved lateral surface and two
circular bases.
Answer:
Cylinder
Step-by-step explanation:
...
Graph the line that passes through the points (-6,5) and (-9,9) and determine
the equation of the line.
PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you
Answer:
9in on the map
Step-by-step explanation:
1/2in=20m or 1in=40m
360/40=9
9in
What is the value of a in the equation? 22= a/11
A. 2
B. 33
C. 222
D. 242
Answer:
Step-by-step explanation:
If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit
So that leaves us with C & D.
If we divided 222 and 11 it would leave us with 10 which doesn’t match 11, so that leaves us with D
(Sorry if I didn’t’t explain right )
Answer:
d
Step-by-step explanation:
A breakfast diner ordered milk with 1.5% fat but 30 liters of milk with 5% fat were delivered. How many liters of milk with 0% fat should the waitress add to the delivery to get milk with 1.5% fat?
Answer:
70 Litres
Step-by-step explanation:
Answer:
70 Liters
Step-by-step explanation:
Welcome
Please help I’ll mark you as brainliest if correct
Answer:
Yes the answer is 69.08
Rose wants to get 90% on a 40 question quiz. How many questions must she get correct?
Answer:
36
Step-by-step explanation:
We can use the is/of=%/100 proportion...
x = 90
40 100
First, we need to multiply 90 by 40. 90x40=3,600.
Next, we have to divide 3,600 by 100. 3,600/100=36.
Rose needs to get 36 questions correct to get at least a 90%.
Hope this helps!! Have a great day C:
simple math! i'll mark you if you get it right
$100 because if you follow the line from 5 hours to the line it lines up with 100 dollars
A stockbroker knows from experience that the probability that a client owns stocks is 0.60. P(A) The probability that a client owns bonds is 0.50. P(B) The probability that the client owns bonds if he/she already owns stock is 0.55 What is the probability of a client owning stocks OR bonds
Answer:
the probability of a client owning stocks OR bonds is 0.825
Step-by-step explanation:
The computation of the probability of a client owning stocks OR bonds is given below:
= P(stocks) + P(bonds) - P(stocks and bonds)
= 0.60 + 0.50 - (0.55 × 0.50)
= 0.60 + 0.50 - 0.275
= 0.825
Hence, the probability of a client owning stocks OR bonds is 0.825
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
Select all the correct answers.
Which expressions are equal to 105?
(104)1
1
103.102
1
105
(103)2
10.10.10.10.10
The expressions that equal to 10⁵ are, 10³.10² and 10.10.10.10.10.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
The expression that equals to 10⁵ are,
10³.10².
= 10 ³⁺².
= 10⁵.
10.10.10.10.10 ('.' implies multiplication)
= 10¹.10¹.10¹.10¹.10¹.
= 10¹⁺¹⁺¹⁺¹⁺¹.
= 10⁵.
learn more about exponents here :
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John has a rectangular field that is 12 meters by 6 meters, if he wants to divide the field into 8 sections, what would the area per section be?
Answer:
9 Meters Squared
Step-by-step explanation:
First multiply 6 by 12 to find the area of the whole field:
[tex]6*12=72[/tex]
Then divide that area by 8:
72/8=9
So:
9 meters squared
a town spends 43% of its annual budget on education. if the town's budget is one million dollars, how much will be spent on education?
Answer:
my dad left me
Step-by-step explanation:
my dad left me
Answer:
$430,000
Step-by-step explanation:
1,000,000 * 0.43
Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24
Answer:
≈ 4.12 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)
d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]
= [tex]\sqrt{(-4)^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex]
≈ 4.12 ( to the nearest hundredth )
Answer:
The distance between given points is: 4.12 units
Step-by-step explanation:
Given points are:
(3, 8) and (-1, 9)
Here
[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]
The distance is calculated using the following formula:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values, we get
[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]
Rounding off to nearest hundredth
d = 4.12 units
Hence,
The distance between given points is: 4.12 units
What's the two numbers that round to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000,then find the exact sum and the exact difference provide a detailed explanation as to how you reached your answers and why they will work
Answer:
hi
Step-by-step explanation:
hi hi hi hi hi hi hi.........
Will mark brainliest!!!Solve for each variable
Answer:
n=5, m = 4
Step-by-step explanation:
It is a parallelogram so m+8 = 3m and 2n-1 = 9
The graphs of two lines are shown.
HELPP
9514 1404 393
Answer:
A) y = -3x +7
B) y = (7/3)x
Step-by-step explanation:
Maybe you want the equations of the lines.
Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.
A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3
b = 7
So, the equation y = mx+b is ...
y = -3x +7
__
B) m = (7 -0)/(3 -0) = 7/3
b = 0
The equation is ...
y = (7/3)x
Please can someone do itpleaseeeeeeee
Answer:
a=250
b=10
done...
Please help with this worksheet
real numbers
I DO NOT KNOW JUST GIVE ME A SECOND.
HELP I’m being timed!!
Answer:
A 1/4
Step-by-step explanation:
Answer:
A. There is a 1/4 chance.
Step-by-step explanation:
There are 8 outcomes if a coin is flipped 3 times.
Of these, 4 start with tails.
Since 4 is the denominator here, C (3/8) is out.
Also 4 doesn't have 3 as a factor, so B (1/3) is also out.
After the tails flip, two heads follow.
That's one of four of the combinations starting with tails (THH, THT, TTH, TTT, so D is out, leaving A as our answer! (We would need two for A to work)
Use the theorem part 1
Answer:
(a)
Step-by-step explanation:
The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.
Answer:
a) Base Angle TheoremStep-by-step explanation:
The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.
Chris need to buy 4 shirts, all costing the same amount. he uses a $25 gift card.he can spend no more than $75. write an inequality to find the possible cost for a shirt
Answer:
it would be 3
Step-by-step explanation:
Answer:
21.25 for one shirt so it 75 in all if you add all the shirts
3 more than x is less than 6
Answer:
x = 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
its complicated to explain sorry, but trust me
What would the function be for the following statement:
"y is 3 more than half of x"?
Answer:
0
Step-by-step explanation:
Keiko's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee cost Keiko $4.15 per pound, and type B coffee costs $5.25 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $980.85. How many pounds of type A coffee were used?
Answer:
39 pounds of type A coffee were used.
Step-by-step explanation:
Given: Cost of type A coffee is $4.15 per pound and cost of type B coffee is $5.25 per pound. Also, blend used four times as many pounds of type B coffee as type A.
To find: How many pounds of type A coffee were used.
Let [tex]x[/tex] be the number of pounds of type A coffee and [tex]y[/tex] be the number of pounds of type B coffee.
Then, according to question,
[tex]4.15x+5.25y=980.85[/tex] and [tex]y=4x[/tex]
Substituting [tex]y=4x[/tex] in [tex]4.15x+5.25y=980.85[/tex], we get
[tex]4.15x+5.25(4x)=980.85[/tex]
⇒[tex]4.15x+21x=980.85[/tex]
⇒[tex]25.15x=980.85[/tex]
⇒[tex]x=\frac{980.85}{25.15}[/tex]
⇒[tex]x=39[/tex]
Therefore, 39 pounds of type A coffee were used.
HELP PLEASE ASAP!!!!!
Answer:
1 1/2 cups of flour :))
Step-by-step explanation:
Answer:
2 5/8 cups ur welcome
you convert 1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.
The student population of a school consists of 300 girls and 500 boys
Answer:
In all you have 800 students.
The ratio of girls to boys is 300:500
500 x 300 = 150000
Step-by-step explanation:
Hope this helps?