Answer: 15
Step-by-step explanation:
The 11th term of arithmetic progression is 43. We can use this to get the common difference which will be:
a + (n - 1)d = 43
where,
a = first term = 3
n = nth term = 11
d = common difference = unknown
Therefore, a + (n - 1)d = 43
3 + (11 - 1)d = 43
3 + 10d = 43
10d = 43 - 3
10d = 40
d = 40/10
d = 4
Common difference = 4
Therefore, 4th term will be:
= a + (n - 1)d
= a + (4-1)d
= a + 3d
= 3 + 3(4)
= 3 + 12
= 15
The 4th term is 15
Solve
Four times the sum of 6 and some number is 32. What is the number?
Answer:
Thus, the value of x is 1.
Step-by-step explanation:
4(2x+6)=32
8x+24 =32
8x =32-24
8x =8
x =8÷8
x =1
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
= 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
= 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
[tex]$=\frac{0.55}{0.75}$[/tex]
[tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
[tex]$=\frac{0.15}{0.25}$[/tex]
[tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
[tex]$=\frac{0.55}{0.7}$[/tex]
[tex]$=\frac{11}{14}$[/tex]
6. [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
[tex]$=\frac{0.2}{0.3}$[/tex]
[tex]$=\frac{2}{3}$[/tex]
What is the algebraic expression for y-4
Can somebody please answer the question giving brainliest!
Answer:
A counter clockwise
Step-by-step explanation:
4/5 = 28/x
x=
i need to know what x =
Answer:
Hello! :) have a good day!
x = 35
4/5 = 28/35
Geometry plz someone help me out
Answer:
x = 7 times the square root of 3
y = 14
Step-by-step explanation:
✨6 Grade Math✨ Pls help
Answer:
37Step-by-step explanation:
89 - 4²×4 + 12 = 89 - 16×4 + 12 = 89 - 64 + 12 = 25 + 12 = 37Answer:
[tex]89 - 4 {}^{2} \times 4 + 12 = 89 \\ - 16 \times 4 + 12 \\ \\ = 89 - 64 + 12 \\ \\ = 25 + 12 \\ \\ = 37[/tex]
89-4^2×4+12=89-16×4+12
= 89-64+12
= 25+12
= 37
73% of 148 grams is what?
Answer:
108.04 grams
Step-by-step explanation:
Answer: 108.04
Step-by-step explanation:
Rob hits ball 3 feet off the ground at an angle of 30 degrees with an initial velocity of 115ft/sec. Will the ball clear a 20 foot fence that is 300 feet from the home plate?
##################################
A rectangular room measures 10 feet by 12 feet. How much would it cost to carpet if the carpeting sells for $12 per square yard?
Answer:
$480
Step-by-step explanation:
10 times 12 is 120
So 120 ft in yards is 40 yards
40 times 12 is 480
In permutations, order matters.
A) True
B) False
C) Both
D) Unable to answer this question with the data given because permutations are always changing.
por cada persona que tiene gripe,hay 6 personas que solamente tienen sintomas de gripe. si un medico ve a 40 pacientes, calcula aproximadamente cuántos pacientes esperas que tengan solamente sintomas de gripe.
Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer:
1/125 cm^3
Step-by-step explanation:
Volume of a cube = L^3
L is the side length of the cube
Given
L = 1/5 cm
Volume of the cube = (1/5)^3
Volume of the cube = 1/125
Hence the volume of the cube is 1/125 cm^3
A ticket to Silver Dollar City costs $125. You have a coupon that will save you 33%. How much will you SAVE? In the same scenario, how much will you end up SPENDING for you ticket if you use your coupon?
what is the value of X? (20 points)
Answer:
54.5
Step-by-step explanation:
[tex]x \degree = \frac{1}{2} (160 \degree - 51 \degree) \\ \\ x \degree = \frac{1}{2} \times 109 \degree \\ \\ x \degree = 54.5 \\ \\ x = 54.5 [/tex]
Can someone help me with a two step equatio that is x=3
Answer:
ok
Step-by-step explanation:
ya
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?
Answer:
$38.40
Step-by-step explanation:
you have to divide 192 by 8.
Find three points on the parabola.
x^2−6x−4y+5=0
Answer:
(0,1.25), (1,0), (-1,3)
Step-by-step explanation:
Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?
==========================================================
Rule:
If cos(A) = sin(B), then A+B = 90
This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.
Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.
The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.
-------------------------
Using that rule, we can say
cos(77) = sin(theta)
leads to
77+theta = 90
and that solves to
theta = 90-77 = 13
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST
Answer:
They are 20 km away from each other,
Step-by-step explanation:
1cm=5km so 4cm=20km
Answer:
20km
Step-by-step explanation:
its like 1st grade math?
also im posting so you can give the other dude brainliest
what does 1/2 x 2/3 equal
Answer:
9/2
Step-by-step explanation:
what is 5/6 - 3/8 plz help
Find the 12th term of the geometric sequence -2,4,-8..
Answer:
-16394
Step-by-step explanation:
Pattern rule : Start at -2 and multiply it by -2.
-2 x -2 = 4
4 x -2 = -8
-8 x -2 = 16
16 x -2 = -32
- 32 x -2 = 64...so on
After simplifying, how many terms are there in the expression 2x - 5y+3+ x?
3
4
5
6
Answer:
3
Step-by-step explanation:
Adding 2x and x gets you 3x-5y+3. Counting each term gives you three seperate terms, meaning your answer is 3.
Answer:
answer is 3
Step-by-step explanation:
adding 2x and x gets you 3x-5y+3
y+2=1/5(x+1)
graph?
Answer:
x=5Y+9, Plot on graph 1/5x-9/5
Step-by-step explanation:
The x intercept is (9,0)
The Y intercept is (0,-9/5)
Can someone please tell me this equation?
Answer:
for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.
Step-by-step explanation:
Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt
Answer:
$35.21
Step-by-step explanation:
100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
Answer: $35.21
Step-by-step explanation: 100%:$78.25
45% :$?
100?=78.25×45
?= 78.25×45/100
=$35.21
Where would the shape be located after a rotation of 90 degrees clockwise about the origin?
Answer:
It should be the first quadrant
Hope that helps!
My choices are
38
62
102
150
Answer:
B. [tex]x = 62[/tex]
Step-by-step explanation:
In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.
[tex]3x-36=2x+26\\[/tex]
Same to both sides:
[tex]x = 62[/tex]
