Answer:
0.9166666666666667
Step-by-step explanation:
11 divided by 12 =0.9166666666666667
A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:
Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1
a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?
Answer:
A) PB M(b, m), we have;
b = 1
b = 2
b = 3
B) E(B) = 1.7
C) No they are not independent
Step-by-step explanation:
A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;
For PB M(b, m), we have;
b = 1
b = 2
b = 3
B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60
Factory R is 180 miles from the company. Thus under factory R in the table, m = 180
Now;
P_B (b) for b = 1 which is small order is;
P_B (b) = 0.3 + 0.2 = 0.5
P_B (b) for b = 2 which is medium order is;
P_B (b) = 0.1 + 0.2 = 0.3
P_B (b) for b = 3 which is large order is;
P_B (b) = 0.1 + 0.1 = 0.2
Thus;
E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)
E(B) = 0.5 + 0.6 + 0.6
E(B) = 1.7
C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.
Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.
Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;
0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60
find the product (ab-3)^2
Answer:
a^2b^2 -6ab + 9
Step-by-step explanation:
Milan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $70
Let "s" represent the total amount of money in the savings account (in dollars), and let "W" represent the number of weeks Mila
has been adding money. Write an equation (y = mx + b), relating "s" to "W". Then, use this equation to find the total amount of
money in the savings account after 12 weeks." (10 points)
Answer:
equation: s = 70W + 750
answer for 12 weeks: 1590
Step-by-step explanation:
You replace W with 12 to get the total amount per 12 weeks.
Shirts are on sale for $12 at a clothing store. How many shirts can you buy with $48?
Answer:
4 if no tax is included because 4 times 12 equals 48
hope this helps
Step-by-step explanation:
Answer:
4 shirts in total,
12x4=48
Step-by-step explanation:
Hope this helps!
need help geometry question central angles and arcs plsss
HELP PLEASE DUE IN 4 MINUTES
What is m<4? Pls help me
Answer:
65°
Step-by-step explanation:
180-115=65
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B or 137.5. :)
The population of a village is in the following ratios.
women: children = 13:4
men: children = 7:3
a) Find the ratio women : men.
Give your answer in its simplest form.
women : men
Answer:
13:7
Step-by-step explanation:
We see that the ratio from women:children is 13:4.
Therefore, the number of women is 13.
In the ratio comparing men to children we see that it is 7:3.
Therefore, the number of men is 7.
Now we need to compare the number of women to the number of men which is 13:7.
Write 11/8 as a mixed fraction
Answer:
1 3/8
Step-by-step explanation:
Since 11 is over 8 that means you already have a whole number so you just add the 3 and you get 1 3/8
To check just in case you just multiply the whole number and denominator and then add the numerator.
Evaluate the expression where x=5 and y =2
Answer:
6
Step-by-step explanation:
Answer this correctly and I will give brainslist + 10 points from question (:
Answer:
a
Step-by-step explanation:
a profit of 24% was made wheb a book was sold for birr 34% find the selling price that would have given a profit 28%
Answer:
$35.20
Step-by-step explanation:
Given that the profit of 24% was made on $34.10,
And Profit = Selling price - cost price,
Where profit is 24%, and selling price is $34.10, cost price = ?
Then, to find the cost price (z):
Assume the cost price be a 100% and the selling price of $34.10 be 124%
Hence, we have
$34.10 = 124%
z = 100%
Substitue
=> z / 34.10 = 100% / 124 %
=> 124z = 34.10 (100)
124z = 3410
Divide both sides by the coefficient of z which is 124
z = $27.50
Therefore, to find the selling price for a profit of 28%
We have 28% of 27.5 = 7.70
With equation of Profit = Selling price - cost price
We have 7.70 = Selling price - 27.50
Removing 7.7 from both sides
We have, Selling price = 27.50 + 7.70
=> Selling price = $35.20
Hence, the selling prices for a profit of 28% is $35.20
If f ( x ) = 6 x + 54 with f ( x ) = y , what is the vertical intercept?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
x - intercept(s) : ( -9, 0 )
y - intercept(s) : ( 0, 54 )
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
find the area of the trapezoid. if the answer is not an integer, leave it in simplest radical form, The figure is not to scale. (image included)
Answer:
420 ft^2
Step-by-step explanation:
[tex]h = \sqrt{25 ^{2} - 7 } [/tex]
[tex] = \sqrt{570} [/tex]
[tex] = 24[/tex]
[tex]a = \frac{1}{2} (b1 + b2)h[/tex]
[tex] = \frac{1}{2} (14 + 21)(24)[/tex]
[tex]answer = 420ft ^{2} [/tex]
Answer:
245 ft sq
Step-by-step explanation:
Find the are of the triangle and the square seperatly.
Area of a square is A = s * s
A = 14 * 14 = 196 ft sq
Focusing on the triangle, the dotted line is the same length as the bottom of the square. 14 ft
Area of a triangle is A = 1/2 * b * h
A = 1/2 * 14 * 7
A = 7 * 7
A = 49 ft sq
So, 196 + 49 = 245
How is the expression “the product of six and eight added to eleven” written?
Answer:
(5*8)+11 is the expression
Answer:
(6x8)+11
Step-by-step explanation:
c2 - 6c-5
Evaluate the expression when c = -2
20 is 16% of what number?
Answer:
80-
Step-by-step explanation:
20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80
-7 2/3+(-5 1/2) +8 3/4=
Step-by-step explanation:
Please refer to the attachment
Mr. Moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?M
Answer:
The total number of pencils that Mr. Moretti gives to his is 162.
Step-by-step explanation:
He puts 3 mechanincal pencils in each bag.
In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.
So in each bag, 3 + 6 = 9 pencils.
What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?
18 students, and each gets 9 pencils.
18*9 = 162
The total number of pencils that Mr. Moretti gives to his is 162.
Answer:
162 pencils
Step-by-step explanation:
i did the i ready lesson!
What is the domain and range as an inequality and if you could explain how you got it that would be great
Answer:
As per the graph, the function starts at point (0, -2) point it self not included.
The graph is extended down and right, so the given point is maximum of the function.
The domain:
x > 0 or x = (0, +∞)The range:
y < -2 or (- ∞, -2)Range
Set of y values
(-oo,-2)As -2 is not included (open dot)
Domain
Set of x values
(0,oo)0 is not included (open dot)
Help im giving brainliest
Answer:
can I have it pls I am begging you oh and there is no question so I cannot answer anything
Step-by-step explanation:
Plzz help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
400+80x and 80(5+x)
Step-by-step explanation:
Determine the mean of given data
-7, 6, -6,5, -5, -11
Answer: The mean is -11
Answer:
mean= average -3
Step-by-step explanation: Add all numbers (6+5-5-11-6-7) you will get -18. Divide by the number of numbers you have. You have 6 numbers so divide by 6 and get -3 the average.
Which regression equation best fits these data?
х
y
1-2, 16).16)
15
-5
11
21.15)
-3
14
.6314
.(-5.11
10
(372)
- 2
16
4,9)
-1
16
1
15
3
12
6
4.
9
5
6
O A. y = -0.59x + 12.5
B. y = 0.30x2 + 0.48x + 15.83
C. y = 12.00 0.94%
Answer:
a will be the correct answer bro be sure
The Regression equation best fits these data is ŷ = -0.58939x + 12.52235
We have the table as from which can be calculated as
Sum of X = 2
Sum of Y = 99
Mean X = 0.25
Mean Y = 12.375
Sum of squares (S[tex]S_x[/tex]) = 89.5
Sum of products (SP) = -52.75
As, Regression Equation
ŷ = b x + a
where b = SP/S[tex]S_x[/tex]
b = -52.75/89.5
b = -0.58939
and, a = MY - b MX
a = 12.38 - (-0.59)(0.25)
a = 12.52235
So, the required equation is ŷ = -0.58939x + 12.52235
Learn more about Regression line here:
https://brainly.com/question/7656407
#SPJ7
Can you simplify 41/24
Answer:
1 17/24
Step-by-step explanation:
If you want to turn it into a mixed number, divide.
24 goes into 41 1 time
41-24=17
1 17/24
Use the Distributive Property to
REWRITE 11(x + 5)
Answer:
11X+55
Step-by-step explanation:
Multiplicacion
your friend earns $10 babysitting. This is 3 more than you earn for washing the car. How much do you make for washing the car
Answer:
$7
Step-by-step explanation:
$10 - $3 = $7
What happen when you multiply a number by it's reciprocal?
Answer:
When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .
The members of a youth dance company were asked their favorite ice cream flavors for
an upcoming party to celebrate a competition win. The results are displayed in the bar
graph below.
Based on the information in the graph, which of the following statements are true?
Choose one. 10 points
Favorite Ice Cream Flavors
10
8
6
Amount
4
2
0
Vanilla - 6
Strawberry - 5
Cookies & Cream - 9
Butter pecan - 3
Chocolate - 2
Answer:
2
Step-by-step explanation: