Using the probability table, it is found that:
a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
b) The expected amount the couple actually has to pay is $36.85.
From the table, the probabilities of each total cost are:
[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]
[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]
[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]
[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]
[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]
Item a:
This probability is:
[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]
There is a 0.25 = 25% probability that this couple spends 45 dollars or more.
Item b:
The expected value is the sum of each outcome multiplied by it's respective probability.
For X = 45 and X = 50, the value is multiplied by 0.9, due to the discount.Hence:
[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]
The expected amount the couple actually has to pay is $36.85.
A similar problem is given at https://brainly.com/question/24855677
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
simplify the expression (b+3)+(2b-2)
Answer:
if you meant (b+3)+(2^b-2), the answer is b+1+2^b
Step-by-step explanation:
but if you meant (b+3)+(2b-2), the aanswer is 3b+1
Answer:
3b+1
Step-by-step explanation:
(b+3)+(2b-2)
b+3+2b-2
3-2
b+1+2b
b+2b
3b+1
given the equation 3x-2y=-10, identify the slope and the y-intercept
Answer:
3/2 is the slope and (0,5) is the y-intercept
Step-by-step explanation:
We need slope-intercept form for this question, so we simplify the equation into:
-2y=-10-3x which is just
y=5+3/2x =
y=3/2x+5
When we compare this to y=mx+b, we see that 3/2 is the slope and (0,5) is the y-intercept.
Answer: The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 5.
Step-by-step explanation:
The equation is 3x - 2y = -10
We need to turn 3x - 2y = -10 into slope intercept form.
y = mx + b → slope-intercept form
m = the slopeb = the y-intercept3x - 2y = -10
-3x -3x
-2y = -3x - 10
Divide the whole equation by -2
y = [tex]\frac{3}{2}[/tex]x + 5
The slope of the equation is [tex]\frac{3}{2}[/tex] and the y-intercept is -2.
Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days
Solution:
[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]
Answer:
13:5
Hope it helps.
Do comment if you have any query.
7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
Based on a poll, 63% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond? The probability that at least one of them is careful about personal information is
Answer:
So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.
Step-by-step explanation:
The required probability is 0.981 that at least one of them is careful about personal information.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.
Four randomly selected Internet users, at least one is more careful about their personal information.
As per the given question,
Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0
As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)
P(X = 0) = 4C0 × 0.63^0 × 0.37^4
P(X = 0) = 0.0187
P(X ≥ 1) = 1 - 0.0187
Apply the subtraction operation, and we get
P(X ≥ 1) = 0.981
Thus, the required probability is 0.981 that at least one of them is careful about personal information.
Learn more about the binomial theorem here:
brainly.com/question/27813780
#SPJ2
Find the measure of <2
Answer:
<2 = 28°
Step-by-step explanation:
3y+ 53 = 7y -55 (Corresponding angles)
collect like terms
-4y= -108
y= 27°
3y-53 = 28
<2 =28° (Alternating angles ; 2 parallel lines)
In the final exams, 40% of the students failed chemistry, 25% failed physics, and 19% failed both chemistry and physics. What is the probability that a randomly selected student failed physics given that he passed chemistry?
I have answered the question in the image below, but I would like to know if it is correct. If it is not, please include an explanation of why, as well as the step by step to get the correct answer
Answer:
10%
Step-by-step explanation:
If 40% failed chemistry then 60% passed chemistry.
If 19% failed both chemistry and physics, and 25% failed physics, then 6% passed chemistry and failed physics.
If we let p' represent failing physics and c represent passing chemistry, then ...
P(p'|c) = P(p'c)/P(c)
P(p'|c) = 6%/60% = 0.10 = 10%
If the randomly chosen student passed chemistry, the probability is 10% that he failed physics.
__
Your answer is correct.
To solve this problem, we can use conditional probability.
Let's assume that there were 100 students in the final exam.
According to the problem, 40% of the students failed chemistry, which means that 60% of the students passed chemistry.
We can see that 25% of the students failed physics, and 19% of the students failed both chemistry and physics.To find the probability that a randomly selected student failed physics given that he passed chemistry, we need to use Bayes' theorem:
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{P(Failed\: Physics\: and\: Passed\: Chemistry)}{ P(Passed\: Chemistry)}[/tex]
We already know that P(Failed Physics and Passed Chemistry) = 6 students (from the Venn diagram), and P(Passed Chemistry) = 60 students (since 60% of the students passed chemistry).
Therefore,
[tex]\sf P(Failed\: Physics | Passed\: Chemistry) = \dfrac{6}{60} = 0.1\: or\: 10\%[/tex]
So the probability that a randomly selected student failed physics given that he passed chemistry is 10%.
A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than One-fifth? Select three options. choosing 1 blue marble choosing 1 red marble choosing 1 red marble, not replacing it, and then choosing a blue marble choosing 1 white marble, replacing it, and choosing another white marble choosing 1 white marble
hi i know i'm late but might as well add my answer!
here's your answer: B D E or
B.choosing 1 red marble
D.choosing 1 white marble, replacing it, and choosing another white marble
E.choosing 1 white marble
hope i helped
Answer:
b d and e
Step-by-step explanation:
ya
arrange the given the decimals in ascending order from least to greatest
To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.
9) 3.021 < 3.12 < 3.121 < 3.21
Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.
10) 5.0090 < 5.05 < 5.059 < 5.5
Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.
_________
RainbowSalt2222 ☔
Alf needs to borrow $15,000 to pay for his college tuition. He can borrow the money from his
parents at a rate of 3.55% interest compounded annually for 4 years, or he can borrow from his
local bank at a rate of 3.50% interest compounded continuously for 4 years
Manipulation of Numerical Data
Alf would prefer to borrow from his parents because their rates are more favourable.
The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n
Where:
A = amount
R = interest rate
N = number of years
$15,000(1 + 0.0355)^4 = $17,246.13
The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate$15,000 x 2.7182818^0.035 x 4 = $62,137.18
To learn more about future value, please check: https://brainly.com/question/14640433
A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.
Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.
Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:
= 25/40 = 0.625.
The amount that will be removed in 59 hours will be:
= 59 × 0.625 = 36.875
The number of milligrams that will remain will be:
= 50 - 36.875 = 13.125 milligrams
Read related link on:
https://brainly.com/question/25776703
Nate worked for 12 hours last week. He took out $33 to put in his savings account and still had $99 to spend. Write an equation to find how much money Nate made per hour.
Answer:
Do 99 / 12 = 8.25 Then to check if it works, do the opposite operation and multiply 8.25 x 4 = 33 so it works. The unit rate is $8.25 per hour.
99 / 12 = p or 99 / 12 = 8.25
Step-by-step explanation:
BRAINLIEST?
Answer:
33+99=132 132/12=11
Step-by-step explanation:
Write in simplest radical form.
Step-by-step explanation:
i think this is the answer if its wrong im sorry
Read the short scenario and answer the question that follows.
Lisa's credit card balance this month is $969.16. Her APR (annual percentage rate) is 15.24 %. The minimum payment due is $20.00.
If she pays only the minimum each month and does not add any more charges, how long will it take her to pay off the entire balance?
Choose the correct answer below.
A.
about 10 years
B.
about 6 years
C.
about 3 years
D.
about 1 year
Answer:
B
Step-by-step explanation:
Use the amortisation formula:
A = P (r(1+r)^n)/((1+r)^n - 1)
swap in your numbers
p = 969.16
A = 20
n = 0.1524/12
20 = 969.16((0.1524/12) (1+(0.1524/12))^n) / ((1+(0.1524/12))^n - 1)
Then solve for n
n = 72 months
n = 6 years
Write in word form: 5,278.081
Answer:
.............................
Can someone help me please
Answer:
15 - 17 = 0.013333 (1.3333%)
latte drop = 8.3%
gasoline = 9%
n a very large population that has a proportion of a particular disease p, a researcher conducting a study on this disease, is taking samples sequentially until she receives three cases consecutively. Find the mean and the variance of the number of samples she needs to take.
Answer:
sorry don't speak Spanish
Subtraction as Adding the Opposite
Statistics question 8
A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.
Answer:
This will not produce an unbiased sample
Step-by-step explanation:
Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones
8. What is the relationship between multiplying and factoring?
Answer:
A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.
I will mark brainlist
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answer:
answer is A
I hope this helps!
The initial population of a town is 3800, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Please show step by step!
Answer:
The population was 3040 people in 8 years.
Step-by-step explanation:
find unit rate;
3800/10 = 380
380 x 8 = 3040
Please help me with this math problem I am going to fail if I don’t get this right
Answer:
[tex]7+3^{2} - 2[/tex] × [tex]5 < (\frac{3}{4} + \frac{1}{8} )[/tex] ÷ [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
so <
hope this helps!
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=38(1.108)^x
what is the % increase
Plz help me on this qustin. Slove for w 2w ≥ -12
Answer:
w > -6
Step-by-step explanation:
divide each term n 2x > -12 by 2 then simplify
What is the value of x?
Answer:
41º
Step-by-step explanation:
As this is an isosceles B and D are congruent.
The sum of the angles in a triangle is 180º
Therefor
2x = 180 - 98
2x = 82
x = 41º
Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}
what is an type of ratio that has both terms expressed
Answer:
rate
Step-by-step explanation:
please mark me as brainliest
Answer the question based on this system of equations.
{x=y−5
6x−2y=22
Which of the following choices help to verify whether (7,12) is a solution to the system above?
Select all that apply.
Group of answer choices
1.) 7=12−5 is true.
2.) 7=12−5 is not true.
3.) 6(7)−2(12)=22 is true.
4.) 6(7)−2(12)=22 is not true.
Step-by-step explanation:
1.) 7=12 - 5 is true
4.) 6(7) - 2(12) = 22 is not true