Answer:
The expected value of X = 1.4
Step-by-step explanation:
Given that:
The probability of Ben calling Chris = 0.3
The probability of Chris calling Adam = 0.4
The probability of Daisy calling Adam = 0.7
The probability distribution function can be calculated as follows:
P(X = 0) = P( nobody calls Adam)
= (1 - 0.3)×(1 - 0.4)×(1 - 0.7)
= 0.7 × 0.6 × 0.3
= 0.126
P(X = 1) = P(if only Ben call +if only Chris call + if only Daisy call)
P(X = 1) = 0.3 × (1-0.4) × (1-0.7) + (1-0.3) × 0.4 × (1 - 0.7) + (1 - 0.3) × (1-0.4) × 0.7
P(X = 1) = (0.3 × 0.6 × 0.3) + (0.7 × 0.4 × 0.3) + (0.7 × 0.6 × 0.7)
P(X = 1) = 0.432
P(X = 2) = P(if only Ben & Chris Call + if only Ben & Daisy call + if only Chris & Daisy call)
P(X = 2) = 0.3 × 0.4 × (1 - 0.7) + 0.3 × 0.7 × (1 - 0.4) + (1 - 0.3) × 0.4 × 0.7
P(X = 2) = ( 0.3 × 0.4 × 0.3 ) + (0.3 × 0.7 × 0.6) + (0.7 × 0.4 × 0.7)
P(X = 2) = 0.358
P(X = 3) = P(i.e. all three call) =0.3 × 0.4 × 0.7 = 0.084
Therefore; the expected value of X is calculated by using the formula:
[tex]E(X) = \sum x P(X=x)[/tex]
E(X) = (0 × 0.126) + (1 × 0.432) + (2 × 0.358) + (3 × 0.084)
E(X) = 0 + 0.432 + 0.716 + 0.252
E(X) = 1.4
Thus, the expected value of X = 1.4
6x+y=15 -7x-2y=-10 using substitution
12x + 4x + 25y + 15y A. 2(8x + 10 B. 4(4x + 10) C. 5(3x + 5y D. 8(2x + 5y
Answer:
109 x. A. Try your expression with a real number to see if it makes sense. For ... negative is a positive. C:X-3 ya tx combine like terms. 2x-3y². (De) 4x3y - 6xy3 ... B. (94-6) = (12-4x). Solve for x distribute on each side. if you use a calculator, put the ... distribute solve: 3(x+2). 3x +6. +57. 8 X+. 1 -6. = 5(-2-x). < -10 -5x. +5*. < -10.
Step-by-step explanation:
Answer:
The answer to 12x + 4x + 25y + 15y is 16x+40y for sure, I did it multiple times.
I don't see that answer in what you provided.
Step-by-step explanation:
Is there anything more that I can do to help you?
Solve the
equation:
X/2=17
Answer:
x=34
Step-by-step explanation:
[tex]\frac{x}{2}=17\\x=2*17\\x=34[/tex]
Answer:
x=34
Step-by-step explanation:
Multiply 2 on both sides
x/2=17
x=34
Hope this helps :D
Please mark brainliest if correct
24+28 written in distributive prop
Answer:
24 + 28
2*2*2*3 + 2*2*7 [prime factors]
You may distribute any common ones, for example:
4(6+7) [that is, 2*2*(2*3 + 7)
2(12+14)
Step-by-step explanation:
Step-by-step explanation:
52
Wow
Wow
Wow
Common sense
need help with another sequence problem.
1,1,2,3,5,__,__,__ help!!!
Which point lies in quadrant III?
O A. (1,3)
B. (1, -3)
OC. (-1,3)
OD. (-1,-3)
Answer:
OD. (-1, -3)
Step-by-step explanation:
in quadrant 3 the x-axis and y-axis is negative
hope this helps :3
if it did pls mark brainliest
Answer:
The answer is simple it is OD. (-1,-3)
Step-by-step explanation:
If you look quadrant III has -numbers so since quadrant III has -numbers then the answer has -numbers so both numbers have to be in the - and the only answer that has both numbers as - that means that it has to be OD. (-1,-3)!
This afternoon Shelley left school, rode the bus 3/5 of a mile, and then walked 1/5 of a mile to get
home. How much farther did Shelley ride than walk?
Write your answer as a fraction or as a whole or mixed number.
Help Please ASAP! :)
Answer:
2/5 of a mile!
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
Her home is 4/5 a mile away from school.
She took the bus 3/5 miles to her house, then walked 1/5 a mile to her house.
3/5-1/5 = 2/5
btw what r u studying on, just curious cause it looks like u studying in a bathtub
2900 loan for 5 months at 8.95% simple interest
Answer:
108.1458
Step-by-step explanation:
Simple interest=(2900×5×8.95)/100×12
=2900×5×895/120000
=29×5×895/1200
=129775/1200
=108.1458
So the simple interest is 108.1458
Write the equation in slope-intercept form. 4x+3y=18
Question 7 options:
y=43x+6
y=−34x+184
y=−43x+6
y=4x+6
Answer:
y = -4/3x + 6
Step-by-step explanation:
1. 3y - 4x + 3y = 18 - 3y
2. 4x = -3y + 18
3. 18 - 4x = -3y + 18 - 18
4. -3/ -3y = 4x - 18 /3
5. y = -4/3x + 6
express 105/20 as amixed number in simpilist form
Answer:
[tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
105 ÷ 20 = 5.25[tex]5.25 = 5\frac{25}{100} = 5\frac{1}{4}[/tex]I hope this helps!
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
what is the product of 25 and (6/5n + 3 1/4)
Answer:
999
Step-by-step explanation:
PLEASE ANSWER I WILL GIVE BRANLYIST
Answer:
use what is given
use CTCP
A box with an open top will be constructed from a rectangular piece of cardboard. The piece of cardboard is 16 inches wide and 20 inches long. The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. What is the entire domain for the function V(x) that gives the volume of the box as a function of x?
Answer: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 18 in. by 30 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a
Step-by-step explanation:
A radioactive substance decays according to the formula
Q(t)=Q0eâkt where Q(t) denotes the amount of the substance present at time t (measured in years),
Q0 denotes the amount of the substance present initially, and k (a positive constant) is the decay constant.
(a) Find the half-life of the substance in terms of k.
(b) Suppose a radioactive substance decays according to the formula
Q(t)=15eâ0.0001438t
How long will it take for the substance to decay to half the original amount? (Round your answer to the nearest whole number.) yr
Answer:
[tex]t=4820 y[/tex]
Step-by-step explanation:
a) The half-life equation is given by:
[tex]t_{1/2}=\frac{ln(2)}{k}[/tex]
b) Using the decay equation we have:
[tex]Q(t)=15e^{-0.0001438t}[/tex]
we need to find t when [tex]Q(t)=\frac{Q_{0}}{2}[/tex]
[tex]7.5=15e^{-0.0001438t}[/tex]
[tex]0.5=e^{-0.0001438t}[/tex]
[tex]ln(0.5)=-0.0001438t[/tex]
[tex]t=\frac{ln(0.5)}{-0.0001438}[/tex]
[tex]t=4820 y[/tex]
Therefore, it will take 4820 years to decay to half the original amount.
I hope it helps you!
One lap around the West Middle School track is one-sixth of a mile. Jane ran 7 laps around the track in 10 minutes 30 seconds.seconds. What was Jane’s average speed in miles per minute?
Answer: [tex]\dfrac19\text{ miles per minute}[/tex]
Step-by-step explanation:
Given: Length of one lap = [tex]\dfrac16[/tex] mile.
Jane ran 7 laps, Total distance covered = [tex]7\times\dfrac16=\dfrac76\text{ miles}[/tex]
Time taken = 10 minutes 30 seconds
[tex]=\text{ 10 minutes}+\dfrac{30}{60}\text{ minutes}\text{ [1 minute = 60 seconds]}\\\\=(10+\dfrac{1}{2})\text{ minutes}\\\\=\dfrac{21}{2}\text{ minutes}[/tex]
Jane's average speed = [tex]\dfrac{\text{Total distance covered}}{\text{ Time taken}}[/tex]
[tex]=\dfrac{\dfrac76}{\dfrac{21}{2}}\\\\=\dfrac{7}{6}\times\dfrac{2}{21}\\\\=\dfrac{1}{9}\text{ miles per minute}[/tex]
Hence, Jane’s average speed = [tex]\dfrac19\text{ miles per minute}[/tex]
Based on the number of laps that Jane ran and the time she ran it in, her average speed per minute must have been 0.11 miles per minute.
First convert the number of laps ran to miles:
= Number of laps x Conversion factor
= 7 x 1/6
= 7/6 miles
The number of minutes was:
= 10 minutes 30 seconds
= 10.5 minutes
The speed in miles per minute is:
= Number of miles / Number of minutes
= 7/6 ÷ 10.5
= 0.11 miles per minute
In conclusion, find out more at 0.11 miles per minute.
Find out more at https://brainly.com/question/20244484.
What is the answer to y the in the problem
8y+y=63
Answer:
y=7y=7y=7
Step-by-step explanation:
How to solve your question
Your question is
8+=63
8y+y=638y+y=638y+y=63
Solve
1
Combine like terms
8+=63
8y+y=63{\color{#c92786}{8y}}+{\color{#c92786}{y}}=638y+y=63
9=63
9y=63{\color{#c92786}{9y}}=639y=63
2
Divide both sides of the equation by the same term
3
Simplify
Solution
=7
y=7y=7y=7
Question:
Solve the given equation for h
B=V/h
Answer:
h=V/B
Step-by-step explanation:
Please someone help a brother out thank you
Answer:
B
D
C
C
C
Step-by-step explanation:
There you go, have a good day
HELP NOW! A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number of members in the club?
There's a way to think about it, in case you get other questions like this.
When you look at your problem, take out the 35. Out of the picture.
Look at 25%. 25% x 4 = 100% Meaning 4 is golden.
Then bring back the 35 and multiply it by 4. It gives you 140.
:)))) Use this mentallity on other question on percentages!
Help QUICK. Please help me
Answer:
Ryan should leave the house at 7:29
We randomly sample 50 items from Target stores and note the price for each. Then we visit Walmart and collect the price for each of those same 50 items. Should we use a paired or non-paired test?
Answer:
A paired t-test
Step-by-step explanation:
Number of items = 50
Variable in question = Price of each item
Classification of items = Similar or Same items
Locations from where items are drawn = 2 locations
The locations = Target Store & Walmart Store
Type of test to use = PAIRED TEST
This is because the items are same or similar and their comparison is the comparison of the mean values of two related groups. In this case, it is not immediately concluded that both groups have equal variance.
Solve for X (PLEASE NEED NOW!!!!)
Answer:
Step-by-step explanation:
The two given angles add to 180 if the 2 angles that look parallel are parallel.
That means that
17x + 14 + 4x - 2 = 180 Combine like terms
21x + 12 = 180 Subtract 12
21x = 180 - 12 Combine
21x = 168 Divide by 21
x = 168 / 21
x = 8
Therefore 17x + 14 is the angle you want.
<B = 17*8 + 14 = 150.
===================
There's another way to do this.
4x - 2 + <B = 180
4*8 -2 +<B = 180
32 -2 + <B = 180
30 + <B = 180
<B = 180 - 30
<B = 150
A: 10
B: 70
C: 30
D: 90
the relation between the time spent walking and driving if you walk at 3 miles per hour then hitch a ride in a car traveling at 75 miles per hour covering a total distance of 60 miles
Answer:
56 miles
Step-by-step explanation:
5 is 2% of what number?
Answer:
0.1 or 10
Step-by-step explanation:
set it up and it’s easy 5 times 2 divided by 100
Answer:
5 is 2% of 250
Find the EXACT solutions (not the decimal values). 5(x-4)^2=60
Show your work
Express 13π/6 as a function of an angle in Quadrant I.
Answer:
Definitely B
Step-by-step explanation:
Answer:
It's D guys
Step-by-step explanation:
Divide. Express your answer in simplest form.
5/12 divided by 7/8
Help plzzz
Answer:
5/12 / 7/8 =10/21
Step-by-step explanation:
Answer:
10/21
Step-by-step explanation:
5/12 divided by 7/8
5/12÷7/8
5/12×8/7
5×8/12×7
10/21
So the answer is 10/21
what is 4 60/72 as a decimal
Answer:
0.206897
Step-by-step explanation:
it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897
The decimal representation of expression 4(60/72) is approximately 4.8333...
We have,
To find the decimal representation of 4(60/72), we can perform the division and multiplication:
4(60/72)
This can be written as,
(72 x 4 + 60) / 72
Simplifying the fractions.
348/72
Divide the numerator by denominator.
4.83333
Thus,
The decimal representation of expression 4(60/72) is approximately 4.8333...
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
HELPPP ASAPPP 30 POINTS
John goes out to eat at a local restaurant. The bill comes to $47.83. John want to leave a 20% tip. How much of a tip should he leave? (use only numbers) $____
Answer:
Twenty percent of $47.83 is equal to $14.66
If you did 20% of 47.83, that would equal 9.566. So, now you need to take the 5, which is equal to 500 cents, and turn it into 5 dollars. (One hundred cents is a dollar so 500 cents , is 5 dollars.) now it’s 9 + 5. Easy, it’s 14. Now add back the 66, and it’s 14.66 dollars. So the answer is...
14.66
Hope this helps =3