A company needs to hire a new director of advertising. It has decided to try to hire person A or B, who are assistant advertising directors for its major competitor. To decide between A or B, the company finds that A is in charge of 2/3 of the total accounts while Peron B is in charge of only 1/3 of the accounts. Also, A’s campaigns have satisfactory results 3 out of 4 times, while B’s campaigns has satisfactory results only 2 out of 5 times. Suppose one of the competitors ad campaigns is selected randomly
a) Draw the tree diagram of the info above
b) Find the probability that A is in charge of the selected campaign and that is produces satisfactory results
c) Find the probability that the selected campaign is satisfactory
Answers
Answer:
b) 0.5
c) 0.633
Step-by-step explanation:
a) Please find the attached image - tree diagram
b) b) The probability that A is in charge of the selected campaign and that it produces satisfactory results = 2/3 * 3/4 = 1/2 = 0.5
c) P (selected campaign is satisfactory)
= P(A's campaign and satisfactory) + P(B's campaign and satisfactory)
= 2/3*3/4 + 1/3*2/5
= 0.6333
Related Questions
Verify that a÷(b+c)=(a÷b)+(a ÷c), a=10 , b=5 , 6=2
Answers
Answer:
a÷(b+c)≠(a÷b)+(a ÷c)
Step-by-step explanation:
To verify that a÷(b+c)=(a÷b)+(a ÷c)
Using the values ;
a=10 , b=5 , 6=2
plugging the values into a÷(b+c) should give the same result as (a÷b)+(a ÷c) ;
That is, right hand side = left hand side
a÷(b+c) = 10 ÷ (5+ 2)
a÷(b+c) = 10 / 7
Also;
(a÷b)+(a ÷c) = (10/5) + (10/2) = 2 + 5 = 7
Given the result, it can be seen that ;
RHS ≠ LHS
10/7 ≠ 7
The system of equations y = negative one-fifth x minus 6 and y = –2x + 3 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (5, negative 7).
According to the graph, what is the solution to this system of equations?
(5, –7)
(–7, 5)
(5, 7)
(7, 5)
Answers
Answer:
It is A (5, -7)
Step-by-step explanation:
Answer:
A 5,-7
Step-by-step explanation:
ВС
2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above
Answers
9514 1404 393
Answer:
21.75 m
Step-by-step explanation:
The given relations tell us that ...
VW = TV +3
TW = VW +TV -19
VW +TW +TV = 62
__
Solving the first equation for TW gives ...
TV = VW -3
Substituting that into the second equation gives ...
TW = 2VW -22
And using these expressions in the third equation, we have ...
VW +(2VW -22) +(VW -3) = 62
4VW = 87 . . . . . . . . collect terms
VW = 21.75 . . . . . . divide by 4
The length of VW is 21.75 meters.
(View attachment)
a) Write ordered pairs.
b) Write the domain and range.
c) Why isn't the relation a function?
d) Which ordered pair should be removed to make the relation a function?
Answers
Answer:
in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:
(x, y), where x is the input and y is the output.
In this case, the point where the arrow starts is the input, and where the arrow ends is the output.
a)
The ordered pairs are:
(28, 93)
(17, 126)
(52, 187)
(34, 108)
(34, 187)
b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:
{17, 28, 34, 52}
And the range is the set of the outputs, in this case the range is:
{93, 108, 126, 187}
c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.
In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.
d) We can remove one of the two ordered pairs where the input is {34},
So for example, we could remove:
(34, 108)
And then the relation would be a function.
Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant
Answers
Answer:
the answer is 2.3
Step-by-step explanation:
bc if u take the square root of 2.3 it would be 1.516575089 in the decimal form then u multiply it by that decimal and get 2.3. hope this help
Answer:
2.3
Step-by-step explanation:
[tex]\sqrt{2.3}[/tex] * [tex]\sqrt{2.3}[/tex]
it means
[tex](\sqrt{2.3})^2[/tex]
root and square gets cancel so,
2.3
DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent
Answers
Answer:
The APR of the loan was 18.30%.
Step-by-step explanation:
Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:
3,000 = 100
(73.94 x 48) = X
3,000 = 100
3,549.12 = X
3,549.12 x 100 / 3,000 = X
354,912 / 3000 = X
118.30 = X
118.30 - 100 = 18.30
Therefore, the APR of the loan was 18.30%.
What are the coordinates of the point that is 1/6 of the way from A to B? 6 A(-2, 3) 4+ B (10.3) ---- 4 4 O A. (6,0) O B. (3,0) O c. (0,6) O D. (0,3) O
Answers
Answer:
ITS C. (0, 3)
Step-by-step explanation:
I JUST ASKED THE TEACHER ;)
what is equal to -10> ?
Answers
Answer:
It's answer is - 9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4......
y+4x=7 find the missing coordinates for a(-3,) and b (5,)
Answers
Answer:
-3 1
Step-by-step explanation:
PLEASE HELP MEEEEEEE EMERGENCY :(
Answers
Answer:
Ok ☺️✌️✌️✌️Ok ok ok ok
As a television executive, you have been given 12 shows to choose from to run during your prime time slots each week. If you have 8 time slots, how many ways can you create the schedule for the week?
Answers
Answer:
You can create the schedule for the week in 19,958,400 ways.
Step-by-step explanation:
The order in which the shows are scheduled is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many ways can you create the schedule for the week?
8 shows from a set of 12. So
[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = \frac{12!}{4!} = 19958400[/tex]
You can create the schedule for the week in 19,958,400 ways.
Tìm giá trị lớn nhất và giá trị nhỏ nhất của hàm số
y=40[tex]\sqrt{(x-1)x^{3 }[/tex]- 3x-3
Answers
si 8888888888888888888888888888
Find x and then find the measure of the exterior angle
Answers
Answer:
x = 32
exterior = 104
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
40 + 2x = x+72
Subtract x from each side
40+2x-x = x+72-x
x+40 = 72
Subtract 40 from each side
x+40-40 =72-40
x = 32
The exterior angle
x+72 = 32+72 = 104
help me find the answer
Answers
Answer:
? = 9.4 cm
Step-by-step explanation:
we do the full calculation, as the missing side length is simply the full perimeter minus all the other sides (as the perimeter is the sum of all side lengths).
? = 113.6 - 39.8 - 5.6 - 5.6 - 11.1 - 11.1 - 11.1 - 19.9 = 9.4 cm
Kyle was trying to decide which type of soda to restock based on popularity: regular cola or diet cola. After studying the data, he noticed that he sold less diet cola on weekdays and weekends. However, after combing through his entire sales records, he actually sold more diet cola than regular cola. Which paradox had Kyle encountered?
Answers
Answer:
Simpson's Paradox
Step-by-step explanation:
Answer:
Simpson's Paradox
Step-by-step explanation:
Got it right on the test.
please help me with this question.
Answers
Answer:
I think it's 18.1539073013
i'm not sure sorry
A real estate broker acting as a property manager leased a building for 10 years at an annual rent of 48,000. They will receive a commission of 7.5% for the first five years, 5% for the next three years, and 3.5% for the final two years. What will the broker's gross income be from this commission over the life of the lease
Answers
Answer:
Question... is the commission given 10 times or 3?
If the commission is 10 then
5*(48,000 * .075) + 3*(48,000 * .05) +2*(48,000 * .035)
5*(3600) + 3*(2400) +2*(1680)
= 28560
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If the commission is 3 then (once for first five years, once for the next three,
and once for the last two
(48,000 * .075) + (48,000 * .05) +(48,000 * .035)
=7680
Step-by-step explanation:
Can someone please help me ?
Answers
Answer:
5x+3y=6
Step-by-step explanation:
Use the slope intercept form then rearrange
In 8 days, a group of workers can plant 72 acres.
What is their rate in acres per day
Helppp fastttt
Answers
Answer:
Step-by-step explanation:
72/8 = 9 acres per day
So 9!
Hope this helps!
A box of 20 chocolates, 4 are cream-filled. What is the probability of randomly selecting a cream-filled chocolate?
A. 4/18 ≈ 22%
B. 4/20 = 20%
C. 4/16 = 25%
D. 16/20 = 80%
Answers
Answer:
the correct choice is B
Step-by-step explanation:
4 goes into 20 5 times and 20 goes into 100 5 times as in 20x5=100 therefore it is 20%
The probability of randomly selecting a cream-filled chocolate is option (B) 4/20 = 20%.
ProbabilityProbability is the ratio of the fovourable outcome to the total outcomes.
Total number of chocolates in the box is 20 and total number of cream-filled chocolates are 4.
How to find the probability?Favourable number of outcomes is cream-filled chocolate i.e., [tex]4[/tex]
Total number of outcomes are [tex]20[/tex]
Probability of randomly selecting a cream-filled chocolate is-
[tex]P=\dfrac{4}{20}\times 100\\ \text { }=20\%[/tex]
As a result, option B is the correct answer.
#SPJ2
I’ll give brainliest to the first answer
Answers
Answer:
52
Step-by-step explanation:
4 1/2 x + 2x
Let x = 8
4 1/2 (8) + 2(8)
Change to an improper fraction
9/2(8) +2(8)
36+16
52
At a movie rental machine the movies rent for $3.00 except on Tuesdays when they rent for $0.49 Appoximately what percent of the regular cost is saved by renting a movie on a Tueday
Answers
Answer:
16%
Step-by-step explanation:
To find what percent of the regular cost is saved by renting a movie on a Tuesday, we must do 0.49/3.00. This helps us find the decimal point to convert into a percentage. 0.49/3.00 is equal to 0.163333333333 . And 0.163333333333 converted into a percentage is approximately 16%.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest")
Your roommate asks to borrow $500 and agrees to pay it in 45 days with interest rate of 4%. How much interest will you earn?
Answers
Answer:
$20
Step-by-step explanation:
500 x .04 = 20
$20
Explanation:
$500 = 100%
? = 4%
500*4/100 =
$20
You will need the same dataset used for problem 3 in homework 1 (the dataset obtained from the yahoo website with the company you selected). Use Excel to calculate the average and standard deviation of the close data column. Assume that these two numbers represent the population (parametric mean and population standard deviation, respectively, for the variable length (in cm) in a population printout of the data to your homework and write down the ticker code on it.
a. Calculate the probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average [x will be equal to: -(6/2)]
b. Calculate the probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average [x = u + (0/2)]
c. Calculate the probability of sampling at random a fish that has a size between the two values [x = -(6/2), x=u +(6/2)) used in parts "a" and "b," respectively
d. Calculate the 25th and 75 percentiles of fish size for the population using the normal distribution table. e. Imagine that 5 individuals are sampled at random from this fish population. Calculate the probability that the average calculated will be less than the value: -(6/3)
Answers
Answer:
a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.
b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.
c) The probability of sampling at random a fish that has a size between the two values is 0.383.
d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.
e) The probability that the average calculated will be less than the value is 0.3707.
Step-by-step explanation:
For the given data set mean [tex](\mu) = 5.75913[/tex]
Standard deviation [tex](\sigma) = 0.172229[/tex]
Variance [tex](\sigma2) = 0.0296[/tex]
Here we get is
a)
[tex]P(x < \mu - \sigma/2) = p(x < 5.673) \\\\ = 0.3085[/tex]
b)
[tex]P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085[/tex]
c)
[tex]P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383[/tex]
d)
25th percentile:-
[tex]= 25*[(n+1)/100]th term \\\\= 5.69[/tex]
75the percentile:-
[tex]= 75*[(n+1)/100]th term\\\\ = 5.87[/tex]
e)
[tex]p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707[/tex]
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?
Answers
Answer:
382.925 feets
Step-by-step explanation:
The solution diagram is attached below :
Converting radian measurement to degree :
radian angle * 180/π = degree angle
1.2 * 180/π = 68.755°
0.9 * 180/π = 51.566°
Height of dam is h:
Using trigonometry :
Tan θ = opposite / Adjacent
Tan 68.755° = h / x
h = x Tan 68.755° - - - (1)
Tan 51.566° = h / (155+x)
h = (155+x) tan 51.566° - - - (2)
Equate (1) and (2)
x Tan 68.755 = (155+x) Tan 51.566
x Tan 68.755 = 155tan 51.566 + x tan 51.566
x Tan 68.755 = 195.32311 + x Tan 51.566
x Tan 68.755 - x Tan 51.566 = 195.32311
x(tan 68.755 - tan 51.566) = 195.32311
x * 1.3120110 = 195.32311
1.3120110x = 195.32311
x = 195.32311 / 1.3120110
x = 148.87307
Using :
h = x Tan 68.755
h = 148.87307 * tan(68.755)
h = 382.92539
h = 382.925 feets
If an average-sized man with a parachute jumps from an airplane, he will fall
12.5(0.2t − 1) + 21t feet
in t seconds. How long will it take him to fall 150 feet? (Round your answer to two decimal places.)
Answers
Answer:
It will take him 5.85 seconds.
Step-by-step explanation:
12.5 (0.2t - 1) + 21t = 150
Use Distributive Property:
2.5t - 12.5 + 21t = 150
Combine like terms:
23.5t - 12.5 = 150
Subtract 12.5 from both sides:
23.5t = 137.5
Divide both sides by 23.5 to isolate variable t:
5.851063.....
Round to two decimal places (hundredths place):
5.85
Which number's estimate written as a single digit times a power of 10 will have a negative exponent?
Answers
Enter the ordered pair that is the solution to the system of equations graphed
below.
y = -3x + 7
y = -2x + 5
Answers
Answer:
(2,1)
Step-by-step explanation:
-3x + 7 = -2x + 5
x = 2
y = -6 + 7
y = 1
Answer:
(2,1)
Step-by-step explanation:
Remark
One thing you need to remind yourself of: The y value in both equations must be the same.
That means that the two right hand values are
-3x + 7 = - 2x + 5 Subtract 5 from both sides.
-5 -5
-3x + 2 = - 2x Add 3x to both sides
+3x +3x
2 = x
Now use one of the equations to solve for y
y = -2x + 5
y = -2(2) + 5
y = - 4 + 5
y = 1
We should check this by graphing it. Notice the two graphs do cross at (2,1) just as predicted.
2) O número 6 e divisor de qual número a seguir ? Faça as divisões por 6 e verifique qual é exata
A) 64
B)72
C)128
D)80
POR FAVOR ME AJUDEM EU NÃO ESTOU COSENGUINDO !!!!!!!
Answers
Answer:please write in english
Step-by-step explanation:
What is the slope of the line represented by the equation f(x) = -3x + 7?
A -7
B -3
C 3
D 7
Answers
Answer:
-3
Step-by-step explanation:
in these equations the slope is multiplied by x which is -3 in this one.
Answer:
[tex]-3[/tex]
Step-by-step explanation:
The equation of a line is [tex]y=mx+b[/tex], and m is the gradient which is the slope. Hence, the number with x is the slope, which is [tex]-3[/tex].
Hope that helped.