Answer:
the probability that a randomly selected potential customer will purchase the product is 0.11728
Step-by-step explanation:
Given the data in the question;
by hypothesis, let the event be given as;
M = buyers sees a given magazine ad of the product
T = buyers sees a given television ad of the product
[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad
[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad
from the information given in the question;
P(M) = (2/50 ) = 0.04, P(T) = ( 1/7) = 0.1428, P(M∩T) = (1/100) = 0.01,
P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex] ) = (1/10) = 0.1
now, the probability that the buyer sees the ad of the product will be;
P( M ∪ T ) = P( M) + P(T) - p( M ∩ T)
P( M ∪ T ) = 0.04 + 0.1428 - 0.01
P( M ∪ T ) = 0.1728
The probability that the buyer does not see the ad of the product will be;
P( M ∪ T )' = 1 - P( M ∪ T )
= 1 - 0.1728
= 0.8272
Now, the probability that a randomly selected potential customer will purchase the product will be;
P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex] )P( M ∪ T )'
P(P) = (0.2)(0.1728) + (0.1)(0.8272)
= 0.03456 + 0.08272
P(P) = 0.11728
Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728
I NEED HELP!!!... WHATS THE ANWSER FOR THIS??
What is the derivative of sech u with respect to x?
Answer:
[tex]\displaystyle \frac{dy}{dx} = -u'sech(u)tanh(u)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
This is a known derivative (apply trigonometric differentiation).
Step 1: Define
Identify
[tex]\displaystyle y = sech(u)[/tex]
Step 2: Differentiate
Hyperbolic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = -u'sech(u)tanh(u)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Need help on math question 20 points and brainlest
Answer:
Im pretty sure the answer is 3.75
Im im wrong im sorry
Answer:
3.75 cm
Step-by-step explanation:
How do write an equation in slope intercept form
Answer:
y-y1=m(x-x1)
Step-by-step explanation:
y stays as y and x stays as x, but y1, and x1, are your coordinates you use.
Which expression is equivalent to d
6d – 3d?
Answer:
d (d^6-3)
the 6 is the exponent
Step-by-step explanation:
Apples are on sale at the local fruit stand at 4 lbs. for $2.60. Which equation can be used to find the cost, c, of n pounds of apples?
Answer:
C=.65n
Step-by-step explanation:
It costs 2.60 for 4 lbs of apples. For it to be 1 pound of apples it would cost 0.65 cents
So in all the cost is 0.65 cents for (n) or 1 pound of apples.
Answer:
c is or the apples n is for the pound of that apples
Step-by-step explanation:
The selling prices on
distributed with a mean of $221,000 and a standard deviation of $30,000.
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 12.6 feet and diagonal BD equal to 10.4 feet.
What is the area of the farm? (1 point)
9514 1404 393
Answer:
65.52 square feet
Step-by-step explanation:
The area of a rhombus is half the product of the diagonals.
A = (1/2)ab
A = (1/2)(12.6 ft)(10.4 ft) = 65.52 ft²
The area of the farm is 65.52 square feet.
Could I get some help?
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,542 was collected on the
sale of 1,158 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
#adult tickets sold = 346
#student tickets sold = 812
Step-by-step explanation:
let 'x' = # adult tickets sold
let 'y' = # students tickets sold
System of Equations:
x + y = 1158
5x + y = 2542
I used the elimination method and multiplied the first equation by -1
-x - y = -1158
+ 5x + y = 2542
4x = 1384
x = 346
346 + y = 1158
y = 812
plz help me really really fast this is my last question to work on
Answer:
$5
Step-by-step explanation:
25 = 4e + 5
20 = 4e
5 = e
reach eraser costs $5.
Smith and his friends are gaming online on a popular website. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online initially?
Answer:
11
Step-by-step explanation:
5+6=11
Helpppp need it fast plz
Answer:
B
Step-by-step explanation:
4 is a lot less than the others
yez
Lydia invested $8,300 in an account paying an interest rate of 2.2% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $12,690?
Number of years taken to reach the amount of $12,690 is 5 days,
What is Compound interest?Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.
[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]
Principal amount invested by Lydia = $8,300
Rate of compound interest per day =2.2%
To find the number of years that have taken to reach the amount value of $12,690 .
By using compound interest formula,
[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]
[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]
[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]
Taking log on both sides, we get,
log(1.5289156627) =365*t log(1.000060274)
log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒
0.184383 - 0.00002618= 365*t
⇒1843.5 =365*t
⇒t=5 days.
Hence, number of years taken to reach the amount of $12,690 is 5 days,
Learn more about compound interest here:
https://brainly.com/question/3989769
#SPJ1
Write three equivalent fractions for 4/5
Answer:
8/10, 16/20, 12/15
Step-by-step explanation:
Just multiply both the 4 and the 5 by the same number (any number), and you have an equivalent fraction.
Answer:
4/5
8/10
12/15
it's your answer
Gabriel contributes 19% of the total cost of bis health care coverage. He pays $38.80 every week towards this contribution. How much does his employer contribute to his health care coverage for the year?
Around $160.
Hope this helps a little bit.
3 is an element in the domain of the function g(x)= -2x - 4 . What is the corresponding element in the range?
Hello! :)
[tex]\large\boxed{g(3) = -10}[/tex]
If 3 is apart of the domain, then x = 3.
The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:
g(x) = -2x - 4
g(3) = -2(3) - 4
Simplify:
g(3) = -6 - 4
g(3) = -10
How many solutions does the equation 9 (x - 3) = 9x - 27 have?
Answer:
Infinity
Step-by-step explanation:
9x -27 = 9x -27
-9x . -9x
-27 = -27 = always true
Please help for brainliest.
Answer:
C
Step-by-step explanation:
(1, 2) indicates that x=1 and y=2
A:
(2)-(1)=1
3(2)-4(1)≠10
B:
-2(2)+5(1)≠-1
C:3(2)+2(1)=84(2)-(1)=7D:
3(2)-(1)≠1
Two sailboats and their triangular sails are shown in the image below.
The top angles of the two sails are congruent. Based on the information in the image, what is the height of the smaller sail
10.1
11.025
5.9
6.4
Answer:
6.4 i promise
Step-by-step explanation:
Answer: 6.4
Step-by-step explanation:
A line passes through the point (-8, 6) and has a slope of
5
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y - 6 = 5(x + 8)
y - 6 = 5x + 40
y = 5x + 46
3
gina practica
3/4
de hora de aeróbicos y
hora de máquinas en el gimnasio; si ella va a
gimnasio solamente los domingos durante un mes, ¿cuántas horas dedica a ejercitarse?
A pergunta não está bem formatada. No entanto, pelo que parece óbvio
Responda:
3 horas
Explicação passo a passo:
Fração de hora gasta por sessão = 3/4 horas por sessão
Se o exercício for feito apenas aos domingos
Número de domingos por mês = 4
Portanto, número de sessões = 4
Fração de horas por sessão * Número de sessões
3/4 * 4 = 3 horas
Portanto, 3 horas são dedicadas ao exercício por mês
HELP ME I need help with a 7th grade math test anyone willing to help me
Answer: A: x= -3 B: x= 7/3 C: x= 11/2 D: 58 1/3
for the first 4 questions
PLA HELP NEEDED ASAP I WILL GIVE BRAINLESS TO CORRECT ANSWER PLS HELP
Answer:
181.46
Step-by-step explanation:
At the beginning of spring, Arun planted a small sunflower in his backyard. When it
was first planted, the sunflower was 15 inches tall. The sunflower then began to grow
at a rate of 1.5 inches per week. How tall would the sunflower be after 3 weeks? How
tall would the sunflower be after w weeks?
Height after 3 weeks:
Height after w weeks:
Submit Answer
Answer:
height After 3 weeks: 19.5
Step-by-step explanation:
I dont know answer to second
AHHH HELP
An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.
6 feet deep
height/length*width
11.94/2.6*1.4
Help Me :^
What is the quotient?
~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~
a. Negative 1 and one-half
b. Negative StartFraction 3 over 32 EndFraction
c. StartFraction 3 over 32 EndFraction
d. 1 and one-half
Answer:
d
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
Answer:
d madam
Step-by-step explanation:
edge 2021
11. A spinner is divided into 12 equal sections. Five of the sections are labeled with
Even numbers, three sections are labeled with vowels, and four of the sections are
labeled with odd numbers. What is the probability of spinning an odd number? Writeyour answer as a fraction fully reduced.
12. You are choosing an outfit. You can choose from blue jeans, black joans or joggers (3 cholcos).
You can choose from a white tee shirt, Orange too shirt, or gray sweatshirt (3 choices). Finally, you
can choose from your Vans or Crocs (2 choices)
a. A tree diagram would have how many branches? (so how many total choices would there be if
you mutipan 18 choices
b. The counting principal would look like what?
Write your answer like a xbxcxd with you putting in numbers for the letters
c. How many different ways can she choose to write the outfit ?
d. What is the probability that you will choose the joggers, orange tee shirt and Croos? Write your answer as a fraction: a/b with a and being numbers?
Answer:
Probability of spinning an odd number = 1/3
Step-by-step explanation:
4 odd out of 12 sections
Probability of spinning an odd number = 4/12 = 1/3
WILL MARK BRAINLIEST!!
solve for all values of x.
pls show some work (not all is necessary, but appreciated)
if both problems are done, i’ll mark you the brainliest:)
and i hope you have an amazing day
Which graph represents the solution set of the inequality Negative 14.5 less-than x?
A number line going from negative 15 to negative 11. An open circle is at negative 13.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 14. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. An open circle is at negative 14.5. Everything to the right of the circle is shaded.
A number line going from negative 15 to negative 11. A closed circle is at negative 15. Everything to the right of the circle is shaded.
Answer:
Step-by-step explanation:
The third graph.
Answer:
the 3rd one
Step-by-step explanation:
i’m stuck please help me