Complete question is;
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 74% of the successful bids and 39% of the unsuccessful bids the agency requested additional information.
1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?
2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?
3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
Answer:
1) 0.5
2)0.74
3) 0.65
Step-by-step explanation:
1) Since we are told that they had a 50-50 chance of getting the project, Thus;
Probability of a successful bid is;
P(Successful bid) = 50/(50 + 50) = 50/100 = 0.5
2) We are told that for 74% of the successful bids, the agency requested additional information. Thus;probability of a request for additional information given that the bid will ultimately be successful is;
P(request|successful) = 74% = 0.74
3) For us to find the posterior probability that the bid will be successful given a request for additional information will be gotten using bayes theorem to get;
P(successful|request) = [P(request|successful) × P(Successful bid)] / [(P(request|successful) × P(Successful bid)) + (P(request|unsuccessful bid) × P(unsuccessful bid))]
P(request|unsuccessful bid) is given as 0.39 and P(unsuccessful) will be 0.5.
Thus;
P(successful|request) = (0.74 × 0.5)/[(0. 74 × 0.5) + (0.39 × 0.5)] ≈ 0.65
Can someone please help me solve these word problems?
Answer:
7. 39
Jim is 39 years younger.
Which of the lines shown is a line of symmetry?
Jamie’s string is 10 ft 1 in. long. Emma’s string is 6 ft 4 in. long. How much longer is Jamie’s string
Answer:
3 ft 9 in
Step-by-step explanation:
What is the length of segment VS?
O 3 units
11 units
13 units
O 15 units
From the diagram given, line TR and RV are equal, using the obtained value of x, the value of the segment VS is 15 units
5x - 4 = 2x + 5
5x - 2x = 5 + 4
3x = 9
x = 9/3
x = 3
TS = VS
Hence, VS = 6x - 3
Substitute the value of x to obtain the value of VS :
VS = 6x - 3
VS = 6(3) - 3
VS = 18 - 3
VS = 15 units
Hence, the length of the segment VS is 15 units.
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Answer:
15 units :)
Step-by-step explanation:
Find the values of x and y
Answer:
Corresponding angles are equal
therefore y = 134°
Angles on a straight line add up to 180°
x = 180° - y
x = 180° - 134°
x = 46°
and please I need brainliest
Use the maps to select the word or phrase that best completes each sentence. Ancient Egypt differs from modern Egypt mainly in terms of Modern Egypt has more y than ancient Egypt. However, in both ancient Egypt and modern Egypt, most cities were located near the
Answer:
Ancient Egypt differs from modern Egypt mainly in terms of ✔ size .
Modern Egypt has more ✔ territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the ✔ Nile River .
i would really appreciate it if you mark this answer brainlest.
The word or phrase that best completes each sentence are size, territory and Nile River.
What as the ancient Egypt about?The ancient Egypt was a civilization in northeastern Africa that dates from the 4th millennium BCE and its many achievements were preserved in its art and monuments, hold a fascination that continues to grow as archaeological finds expose its secrets.
Ancient Egypt differs from modern Egypt mainly in terms of size.
Modern Egypt has more territory than ancient Egypt.
However, in both ancient Egypt and modern Egypt, most cities were located near the Nile River.
Learn more about Ancient Egypt here:
https://brainly.com/question/29596545
#SPJ2
Which value would make the statement true?
Answer:
4
Step-by-step explanation:
cause 2/4=1/2 which is greater than 4/12
Answer:
4
Step-by-step explanation:
Because if you plug in four then you reduce both 1/2 is greater then 1/4.
You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $7 per guest and averaged 345 guests per night. The next week you charged $10 per guest and averaged 300 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p. q(p) =
(b) Find the nightly revenue R as a function of the cover charge p. R(p) =
(c) The club will provide two free non-alcoholic drinks for each guest, costing the club $2 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $2,000. Find the cost C as a function of the cover charge p. C(p) =
(d) Now find the profit in terms of the cover charge p. P(p) = Determine the entrance fee you should charge for a maximum profit. p = $ per guest
(a) The number of guest per night=p,
and the cover charge for one night per person=q.
Let the liner demand equation be [tex]q(p)=mp+c\cdots(i)[/tex],
where m and c are constants.
Given that for the first week: q=345 and p=$7 and
for the second night: q=300 and p=$10.
Put these values in equation (i), we have
345=7m+c
[tex]\Rigntarrow c=345-7m\cdots(ii)[/tex]
and
300=10m+c
[tex]\Rightarrow 300=10m+(345-7m)[/tex] [from equation (ii)]
[tex]\Rightarrow 3m=-45[/tex]
[tex]\Rightarrow m=-15[/tex]
and from equation (ii),
[tex]c=345-7\times(-15)=450[/tex].
Hence, the required demand equation is:
[tex]q(p)=-15p+450\cdots(iii)[/tex]
(b) Revenue = (Number of guests) x (Cover charge)
R=qp
[tex]\Rightarrow R(p)=(-15p+450)p[/tex] [from equation (iii)]
[tex]\Rightarrow R(p)=-15p^2+450p\;\cdots(iv)[/tex]
(c) The costs per night for drinks for the number of guest p is $2p and the nightly overheads is $2000.
So, the required cost function is
[tex]C(p)=2p+2000\;\cdots(v)[/tex]
(d) Profit=(Revenue)-(Total costs)
i.e [tex]P(p)=R(p)-C(p)[/tex]
Using equations (iv) and (v), we have
[tex]\Rightarrow P(p)=(-15p^2+450p)-(2p+2000)[/tex]
[tex]\Rightarrow P(p)=-15p^2+448p-2000.[/tex]
Now we have the profit function as function of cover charge (entry fee) per person.
So, to get the maximum profit, P, differentiate the profit function with respect to the cover charge, q and equate it to zero to get the eqtremum point.
[tex]\frac {dP}{dq}=0[/tex]
[tex]\Rightarrow -30p+448=0[/tex]
[tex]\Rightarrow p=14.93[/tex]
This point is either maxima or minima, so differentiate the profit function twice to to ensure the value of p corrosponding to what.
[tex]\frac {d^2P}{dq^2}=-30[/tex]
This the second deravitive is negative, so p=14.93 is the value for maximum profit.
Hence, for the maximum profit, the cover charge per guest is $14.93.
the rectangle below has a total perimeter of 125cm:
write an equation and solve it to find the length of the longer side of the rectangle
Solve for Y. Y/11.2=7
Answer:
y=78.4
Step-by-step explanation:
78.4/11.2 is 7
Guess my rule......
Answer:
The rule in what is shown to be a graph and a in-out machine is:
y = 2x + 5
Step-by-step explanation:
2(5) + 5 = 15
10 + 5 = 15
15 = 15
TRUE RULE
2(7) + 5 = 19
14 + 5 = 19
19 = 19
TRUE RULE
2(8) + 5 = 21
16 + 5 = 21
21 = 21
TRUE RULE
y = 2x + 5 is your rule!
Answer:
Step-by-step explanation:
y = 2x + 5
Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?
On Wednesday, a local hamburger shop sold a combined total of 360 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
120
Step-by-step explanation:
360 combined, 2/3 is cheese, so 1/3 is hamburger, 1/3 of 360 is 120.
Find the midpoint of the segment with the given endpoints.
(-4,-9) and (-2,1)
Answer:
it is -2,1 I really hope that helps
Which of the following is the correct factorization of 7x2-36x+5
Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis: (1) You don’t reject the null hypothesis when it is true, (2) you reject the null hypothesis when it is true, (3) you don’t reject the null hypothesis when it is false, and (4) you reject the null hypothesis when it is false.
Consider the following analogy: You are an airport security screener. For every passenger who passes through your security checkpoint, you must decide whether to select the passenger for further screening based on your assessment of whether he or she is carrying a weapon. Suppose your null hypothesis is that the passenger has a weapon. As in hypothesis testing, there are four possible outcomes of your decision: (1) You select the passenger for further inspection when the passenger has a weapon, (2) you allow the passenger to board her flight when the passenger has a weapon, (3) you select the passenger for further inspection when the passenger has no weapon, and (4) you allow the passenger to board her flight when the passenger has no weapon.
1. Which of the following outcomes corresponds to a Type I error?A. You allow the passenger to board his flight when the passenger has a weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You allow the passenger to board his flight when the passenger has no weapon.D. You select the passenger for further inspection when the passenger has a weapon.2. Which of the following outcomes corresponds to a Type II error?A. You allow the passenger to board his flight when the passenger has no weapon.B. You select the passenger for further inspection when the passenger has no weapon.C. You select the passenger for further inspection when the passenger has a weapon.D. You allow the passenger to board his flight when the passenger has a weapon.As a security screener, the worst error you can make is to allow the passenger to board his flight when the passenger has a weapon. The probability that you make this error, in our hypothesis testing analogy, is described by _____.
Answer:
1. A. You allow the passenger to board his flight when the passenger has a weapon.
2. B. You select the passenger for further inspection when the passenger has no weapon.
Explanation:
1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is actually true, but the airport security screener incorrectly concluded it is false. In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight when he actually did have one.
2. While, a Type II error means that the assumption "the passenger has a weapon" (null hypothesis) is actually false, but the airport security screener incorrectly concluded it is true. In other words, he assumed the passenger had a weapon and selected the passenger for further inspection when he actually didn't have one.
Graph the compound inequality on the number line.
x2 and x <8
-10.98
53
12
8 9 10
ILL GIVE BRAINLIEST
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
Answer:
4p – 7 = 13
Step-by-step explanation:
The perimeter of a greeting card is 74 centimeters. The greeting card is 22 centimeters tall. How wide is it?
Answer:
15cm
Step-by-step explanation:
the width is xcm
22 + 22 + 2x = 74
44 + 2x = 74
2x = 30
x = 15
the width is 15cm
Help anyone ??????!!!!!! Plz
Answer:
n = 12
Step-by-step explanation:
You first write it out as in equation and get 3n-7=2n+5
You then do addition property of equality to add 7 on both sides, and gets 3n=2n+12
Then you subtract 2n from both sides to get
n=12
Hope this helps!
John Doe, a super-genius student (known also under his nick-name Wile E. Coyote, super-genius) has just graduated from SPEA and found a job that will allow him to purchase a car to finally catch Roadrunner. He can either buy a new car at a cost of $22,000, buy a used car for $12000 or lease a new car for one year at a cost of $8,500 (assume total cash purchase up front, no financing or monthly payments required). The new car has a 20% chance of a serious break down resulting in a permanent impairment to the trade-in value. The trade-in value for the new car without a serious break down after one year is $18,000 but only $10,000 if the break down occurs. On the other hand, the used car has a 40% chance of suffering a major break down with a $8,000 decrease in the resale value. However, if it does not break down, Wile can sell it to a friend one year from now for $9,000 cash (assume he can also sell it to the friend for $4,000 if the breakdown occurs). Finally, the leased car has a 10% chance of breaking down with a repair cost of only $2,000, and if it doesn’t, Wile will not gain or lose anything by returning the car at the end of a one year lease period. NOTE: For the new and used car purchases all related repair costs resulting from a breakdown have been netted against the trade-in / resale value.
a. Construct a decision tree for Wile
b. What is the expected value of the new car?
c. What is the expected value of the used car?
d. What is the expected value of leasing the car?
Answer: See explanation
Step-by-step explanation:
a. Construct a decision tree for Wile
The solution to the question has been attached.
b. What is the expected value of the new car?
= [(0.2 × $10,000) + (0.8 × $18,000)] - $22,000
= $2000 + $14400 - $22000
= $16400 - $22000
= -$5600
c. What is the expected value of the used car?
= [(0.4 × $4000) + (0.6 ×$9000] - $12000
= $1600 + 5400 - $12000
= $7000 - $12000
= -$5000
d. What is the expected value of leasing the car?
= [(0.1 × -$2000) + (0.9 ×0)] - $8500
= -$200 - $8500
= -$8700
Simplify 5x-2>19-2x
3x-5<5x-3
Given expressions:
5x -2 > 19 - 2x
3x -5 < 5x - 3
Simplifying;
a. 5x -2 > 19 - 2x ;
Collect like terms;
5x + 2x > 19 + 2
7x > 21
Divide both sides by 7 to give;
x > 3
Not if we divided by a negative value, the sign of the inequality changes.
b. 3x -5 < 5x - 3
Collect like terms;
3x - 5x < -3 + 5
-2x < 2
Divide both sides by (-2), note, the sign of the inequality changes;
x > -1
. What would be the new coordinates if (-2,-4) is translated 5 units up and
7 units to the left.
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9
Find the cube root three into 125a6
Answer:
✅ 5a²⬇ Down Below is from Edge 2020 ⬇
PLEASE HELP THIS MAKES MY BRAIN HURT
By how much does 5 exceed -4?
(a) 1
(b)-1
(c) 9
(d) -9
Answer:
C
Step-by-step explanation:
-4+9=5
What’s 605,000 in scientific notation
Answer:
6.05 × 10∧5Step-by-step explanation
make a decimal at the end if the Number. Move the decimal until the lest of it is more than one and less than ten. And since you move the decimal 5 times the five goes over the ten
Is the height of these students a function of their wrist circumference
Answer:
c
Step-by-step explanation:
Answer:
C. No because the height of 151 cm is paired with two wrist circumferences.
Step-by-step explanation:
A person bikes 2 1/2 miles in 1/8 of an hour how far do they bike in 1 whole hour
Answer:
The person will bike 20 miles.
Step-by-step explanation:
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67