Answer:
a. always positive
Step-by-step explanation:
Alex learning?
Collins Middle School has 245 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school
Answer:
700
Step-by-step explanation:
Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?
Answer:
1) the probability that he wins the second game is 0.45
2) the probability he wins the first game given that he won the second game is 0.333
3) Expected Value is $ 1.5 and the variance is 0.75
Step-by-step explanation:
Given the data in the question;
Let Win1 represent first game victory
and Loss1 represent first game loss
Let Win2 denote second game victory
and Loss2 denote second game loss
now from the Tree diagram of Daniel;
P ( Win1 ) = 0.6
P ( Loss1 ) = 0.4
P ( Win2 | Win1 ) = 0.25
P ( Loss2 | Win1 ) = 0.75
P ( Win2 | Loss1 ) = 0.75
P ( Loss2 | Loss1 ) = 0.25
1) probability that he wins the second game will be;
P ( Win2 ) = [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]
we substitute
= [0.6 × 0.25] + [0.4 * 0.75] = 0.45
Therefore the probability that he wins the second game is 0.45
2)
If he wins the second game, what is the probability that he also won the first game will be;
{From Bayes' Theorem}
P ( Win1 | Win2 ) = P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )
= 0.6 × 0.25 / 0.45 = 0.333
Therefore the probability he wins the first game given that he won the second game is 0.333
c)
winnings probability
$0 0.4 × 0.25 = 0.1
$1 0.6 × 0.75 = 0.45
$2 0.4 × 0.75 = 0.3
$3 0.6 × 0.25 = 0.15
so Expected Value = ∑( winnings × individual win probability)
= (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)
= 0 + 0.45 + 0.6 + 0.45
= $ 1.5
Variance = ∑( X² ) - (∑(X))²
∑( X² ) = Summation of ( Winnings² × Probability of Each Win )
so
Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²
Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25
Variance = 3 - 2.25
Variance = 0.75
Therefore Expected Value is $ 1.5 and the variance is 0.75
Baden Company manufactures a product with a unit variable cost of $50 and a unit sales price of $88. Fixed manufacturing costs were $240,000 when 10,000 units were produced and sold. The company has a one-time opportunity to sell an additional 2,000 units at $65 each in a foreign market which would not affect its present sales. If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows.
a. Income would decrease by $20,000.
b. Income would increase by $20,000.
c. Income would increase by $140,000.
d. Income would increase by $40,000.
Answer:
I would say C because i got 130,000
Step-by-step explanation:
Unit Variable Cost is $50
Unit Sales Price is $88
Fixed Costs $240 000 (10 000 units)
Opportunity 2000 units at $65
Total Sales = $130,000
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Marla sold 12 baseball caps for a total of $39, including tax. The equation. 12c=39 can be used to find c, the cost of one cap. What is the value of c
Answer:
$3.25
Step-by-step explanation:
12c = 39
12/12 =0
39/12 = 3.25
c = 3.25
If x and y are 2 complementary angles then find the value of y if measure of angle x is 20 degree
plz help me I am marking branliest to the correct answer
Answer:
y=70 degrees
Step-by-step explanation:
If 2 angles are complimentary, they add up to 90 degrees.
x+y=90 degrees
x=20 degrees
y=90-20 degrees
y=70 degrees
If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.
y=x
Substituting x for y, the equation is x+x+20=90
Since y is x, x would also be y, which is 35. then x+20 would be 55.
So y would be 35.
THE ANSWER WOULD BE 70 DEGREES, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35
After one week of meals, the bottle of ketchup contains 25% of its original amount. How many ounces are in the bottle after one week?
Answer:
25/7 I think not sure though
A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.
Answer:
0.477%
6.55%
5.05%
Event in question (a)
Step-by-step explanation:
Given that:
p = 0.67 ; n = 80
Using Normal approximation :
Mean (m) = np = 80 * 0.67 = 53.6
Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057
probability that the number who oppose raising the age is
(a) at least 65
65 - 0.5 = 64.5 = x
Z = (x - m) / s
Z = (64.5 - 53.6) / 4.2057 = 2.592
P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)
(b) exactly 50
x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5
Z = (50.5 - 53.6) / 4.2057 = - 0.737
Z = (49.5 - 53.6) / 4.2057 = - 0.974
P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)
0.23056 - 0.16503 = 0.06553
(c) more than 60, and (d) identify any unusual events
x = 60 + 0.5 = 60.5
Z = (60.5 - 53.6) / 4.2057 = 1.64
P(Z > 1.64) = 0.0505
D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%
Find the value of the variable.
the students Bend 1/8 of an hour each evening reading a book about biplanes if it took the student 10 evening to finish the book how many hours in all did the students spend reading
Answer:
C. 3¾
Step-by-step explanation:
Number of hours spent per evening reading the book = ⅜ hr
Number of evenings it took to complete reading the book = 10
Total number of hours spent in reading = ⅜ × 10 = 30/8
Simplify
= 15/4
= 3¾ hours
The table represents a function.
Answer:
4
Step-by-step explanation:
Toni can carry up to 16 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 3 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?
Answer:
4 Books
Step-by-step explanation:
3+1 = 4
16 - 4 = 12
3x4 = 12
Find the slope of the line graphed below.
Answer:
-3/2 I believe is the answer,
Step-by-step explanation:
Notice that the (left to right) line is going down, indicating it is negative.
Now do rise over run. Rise Is up and down, so 3, and run is left and right so 2, -3/2 is your answer, Correct me if I am wrong
PLEASE HELPPP THIS IS SUE IN 5 MINUTESSS! I WILL MARK YOU AS BRAINLIEST!!!!!
The expression 12 dollars t can be used to find the total cost for t tickets to the movie theater. Choose the correct number expression to represent 12 dollars times t.
A) 12+t
B) 12-t
C) 12/t
D) 12*t
Answer:
D) 12*t
Step-by-step explanation:
It askes for the correct number expression to represent 12 dollars times t
and * means times so this expression 12*t literally means 12 dollars times t
so D) is your answer or D) 12*t
good luck with ur assignment or test! hope u aced it.
Please help as fast as you can
Which describes the missing number plotted on the number line?
A. the opposite of -4
B. the opposite of 4
C. the absolute value of -4
D. the absolute value of 4
************************
Answer: I think i my be wrong but i thing its B
Step-by-step explanation:
If I start with 2 and count by 8s until I reach 82, I will get: 2, 10, 18, 26, 82, ... , where 2 is the first number, 10 is the second number and so fourth. If 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
help!!!!!please!!!!!!!
4x = 64 + 200
what is x
x=66
Step-by-step explanation:
4x = 200 + 64 > 4x = 264 > x= 66
Answer:
x=66
Step-by-step explanation:
Steps
4x=64+200
4x=264
x=66
help please and thank you
Answer:
43
Step-by-step explanation:
your welcome. hope this helps u, if not im sorry
(Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -2m/s square
Step-by-step explanation:
72km/h = 72,000m/3,600s = 20m/s.
Using Kinematics, we have
v = u + at
= (20m/s) + (-2m/s²)(5s)
= 10m/s.
Hence the velocity will be 10m/s. (or 36km/h)
Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?
Stephanie needs to cover her yard with 410taft2of soil. She has enough for 125ft2in one bag and 65 ft2in another bag. How much more square feet of soil will she need covered?
Answer:
Stephanie needs 220ft² of more soil to cover the rest of her yard.
Step-by-step explanation:
First add the bags she already has:125ft²+65ft²+x=410ft² --> 190ft²+x=410ft²
Second use the subtraction property of equality: 190ft²-190ft²+x=410ft²-190ft² ---> x=220ft²
Find the unknown (?) to make the fractions equivalent. The ? Is equal to :
-3
-5
-1
-7
Answer:
C: 1
Step-by-step explanation:
14/35 simplified is 2/5. This means 2/5 is equivalent to 14/35. Therefore we have to multiply 2/5 by 1 which is option C.
help please! will mark brainliest!!
9514 1404 393
Answer:
x = 7.5
Step-by-step explanation:
The parallel lines divide the transversals proportionally, so we have ...
x/5 = 6/4
x = 5(6/4) . . . . multiply by 5
x = 7.5
h(n)=3n-4 find h(-6)
Answer:
h(-6) = -22
Step-by-step explanation:
h(n) = 3n - 4
h(-6)= 3(-6) - 4
= -18 - 4
= -22
When f(n) = 34, what is the value of f(n-6)?
Answer:
28
Step-by-step explanation:
f(n)=34, f(n-6)=34-6
=28
The value of x, rounded to the nearest tenth is...
Answer:
67
Step-by-step explanation:
help me pls
The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?
Ans
b-18 s-42
Step-by-step explanation:
There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.
Part A: Set up a system of equations.
Solve the system of equations algebraically. SHOW ALL WORK!
How many adults attended? How many children attended?
(i need it asap pleaseeeee)