(a) The distribution of X is binomial with parameters n = 20 and p = 600/3000 = 1/5 since we are randomly selecting 20 clients without replacement and interested in the proportion of happy consumers. Given below is the probability density function for this binomial distribution.
f(x) is equal to (n pick x) * p * x * (1-p) (n-x)
Where p and 1-p are the probability of success and failure, respectively, and n pick x is the binomial coefficient, which is equal to n!/(x! * (n-x)!).
(b) The formula for the anticipated value of X, or E[X], is
E[X] = np = 20 * (1/5) = 4
Var X, the variance of X, is defined as follows:
Var X = np(1-p) = 20*1/5*4/5=3.2
(c) The cumulative distribution function of the binomial distribution's formula can be used to get P[X >= 3]:
Sum(i=3 to n) f for P[X >= 3] (i)
Summarizing from I = 3 to 20 and substituting the values from the density function, we obtain:
Sum(i=3 to 20) = P[X >= 3] [(20 pick I (1/5)*i*4/5*(20-i)]
(d) We must determine the value of the cumulative distribution function at x = 3, which is equivalent to the likelihood of receiving three or fewer successes out of 20 trials, in order to approximate P[X >= 3] using the binomial table. By using n = 20 and p = 1/5 to calculate the value of the cumulative distribution function at x = 3 in the binomial table, it is possible to determine this probability. P[X >= 3]'s estimated value is 0.586.
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A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?
Answer:
1/18
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Leo made an apple pie for dessert. He split the pie into 4 slices. What is the angle measurement of each slice?
Naomi and Peter's teacher receives an order of 127 books.The books are delivered in 10 full cartons and a smaller package containing 7 books.Naomi and Peter determine how many books are in each cartoon using different methods PLEASE ANWSER QUESTIONS BELOW!!!!!!! 1. What is the answer 2.In both solutions the first step is to multiply or divide by 10? 3.The second step is to multiply or divide by 10?
Answer: 1. subtract 7
2.divide 10
Step-by-step explanation:
I took the quiz
On Monday the high temperature was 80 degrees. the high for Tuesday was 60 degrees. what is the percent change in temperature from Monday or o Tuesday?
increase or decrease?
_____%
Answer: decrease of 25%
Step-by-step explanation:
Write a word sentence for the equation y + 3 = 5.
Answer:
A number plus 3, sum is 5.
Which of the following units is most likely to be used to measure the
length of a tennis court?
A. millimeters
C. feet
B. centimeters
D. kilograms
0.21
to
0.56
as a fully simplified ratio.
Answer:
0.35
Step-by-step explanation:
Can someone please help me
Answer:
3x=9
3x*1/3=9*1/3 [reciprocal mean switching the fraction so 3/1--->1/3]
x=3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3x = 9}[/tex]
[tex]\large\text{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3x}{3}=\dfrac{9}{3}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{3}{3}} \large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: } \mathsf{\dfrac{9}{3}}\large\text{ because that helps us solve for x }[/tex]
[tex]\large\text{New equation: x = } \dfrac{9}{3}[/tex]
[tex]\mathsf{\dfrac{9}{3} = \bf 3}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your \underline{answer} is: \huge \bf x = 3 }}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jaydin needs to know the volume of the cylinder shown. Which expression will give him the correct volume?
Answer:
2 or 3.14 (24^2) (2.5)
Step-by-step explanation:
48/2=(radius)24
(pi)r^2 x hight= volume
(pi)24^2 x 2.5
Need help with 2 and 4!
Answer:
Step-by-step explanation:
A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.
Geometry help please! Thank you. Which line segment is a altitude of VWY? The letter Y got cut off of the picture. It is supposed to be at the bottom.
Answer:
VX
Step-by-step explanation:
help,scatter plots please and thank you
Answer: D
Step-by-step explanation:
Since a tadpole becomes a frog as it ages, it makes sense that the axis of the tail would go down as it ages since frogs don’t have tails. If you see the x axis as the tempature, and the coats as the y axis. It would make sense that as the tempature gets colder, more people would be buying coats. But basically, D is the only one that doesn’t have a cause and affect, so it wouldn’t have a very linear scatter plot. For example, I have the same letters in my name as someone I know who is 6‘ 4”, and I’m only 4’ 8”. So D wouldn’t make such a nicely formed scatter plot.
If I have a right rectangular prism with a base area of 22 units and a height of 6 units, what is the volume of this prism?
Answer:
132 units cubed
Step-by-step explanation:
(+12)-(-5)+(-3)+(+9)-(-25)-(-24) help me
Answer:
64
Step-by-step explanation:
12+5-3+9+25+24
23+25+24
48+24
64
The ratio of the length to the width to the height of an open rectangular tank is 10: 5: 8. The height is 18 feet longer than the width. What is the volume of the tank
Answer:
hi
Step-by-step explanation:
how are you
Answer: A: L: W: H = 10: 5: 8
Step-by-step explanation: The height of the tank is 18 feet longer than the width
H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet
Hence, L = 10 * 6 = 60 feet
W = 5 * 6 = 30 feet
H = 8 * 6 = 48 feet
Volume = 60 * 30 * 48 = 86400 ft³
Surface Area = 2 * (30 * 60 + 48 * 60 + 30 * 48) =12240 ft²
10) An online movie club has an initiation fee of $10 plus $4 per movie rented.
Another club has an initiation fee of $20 plus $2 per movie rented
Step-by-step explanation:
$10 fee + $4 x per movie
$20 fee + $2 x per movie
please help me and explain the ones that are circled
Answer:
Step-by-step explanation:
it mean to figure out what number you had before the % took some of the number away
In ΔRST, r = 5 cm, t = 6.8 cm and ∠T=23°. Find all possible values of ∠R, to the nearest 10th of a degree.
Answer:
[tex]\angle r=16.696[/tex]
Step-by-step explanation:
From the question we are told that:
Dimension
r = 5 cm
t = 6.8 cm
∠T=23°
Generally the equation of sine rule i is mathematically given by
[tex]\frac{sin \angle r}{R} =\frac{sin \angle t}{T}[/tex]
[tex]\frac{ \angle r}{1} =sin^-^1(\frac{sin \angle t*R}{T})[/tex]
[tex]\frac{ \angle r}{1} =sin^-^1(\frac{sin23*5}{6.8})[/tex]
[tex]\angle r=16.696[/tex]
Look at the picture to see question please help
Lou cuts 2 and 1 third yards of fabric from a 9-yard roll of fabric from the roll. How much fabric is left on the roll?
Answer:
6 2/3
Step-by-step explanation:
Fabric left on the roll = total fabric on the roll - fabric cut from the roll
9 - [tex]2\frac{1}{3}[/tex] = 6[tex]\frac{2}{3}[/tex]
James ran a race in 2.2 hours. Casey ran the same race in 2.25 hours. Who took less time to run the race?
Answer: James
Step-by-step explanation: 2.2 is less than 2.25.
Which term below correctly completes the following sentence?
If a function has a vertical asymptote at a certain x-value, then the function is ______ at that value.
A. zero
B. rational
C. negative
D. undefined
The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
We have given that,
A function has a vertical asymptote at a certain x-value, then the function------ is at that value.
We have to determine the value and fill in the blank.
What is the vertical asymptotes?
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
Therefore option D is correct.
Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
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Answer:
D. undefined
Step-by-step explanation:
Angles in circle solve for each variable
Answer:
Step-by-step explanation:
1. What is the experimental probability of not landing on a 6?
2. What is the theoretical probability of not landing on a 6?
Answer:
1. 6/6
2. 5/6
Step-by-step explanation
You did not give me the ex. Probability so I assumed that there were 6 equal parts. so the chance of not landing on a 6 is 5.
please help this is confusing.
Answer:
The mashi e drilled down 45 feet. So -45
Step-by-step explanation:
72 = 24h
X = 15h
24x = 1080
x = 45
the 9th term for 7,14,28,56
.......................................................
PLSSSSSSSSS HELP ILL GIVE A COOKIE
Answer:
The answer is ten. Perimeter is all the sides added together. Area is length times width.
Step-by-step explanation:
Where's my cookie?
Answer:
To find perimeter, all you need to do is length times width. In this case, that's 4 + 1
Your answer is 5 in.
Find the area of the shape shown below. Pls help
Answer:
28
Step-by-step explanation:
Think of the shape being made up of a square on top that is 4 units by 4 units and a trapezoid on the bottom with bases 4 and 2 and height 4.
area = area of rectangle + area of trapezoid
area = LW + (b1 + b2)h/2
area = 4 * 4 + (4 + 2)(4)/2
area = 16 + 12
area = 28
The U.S. Department of Labor reports that the average prices for a dozen eggs in the month of May for the past 11 years are as follows: $1.19, $1.21, $1.50, $1.93, $1.50, $1.52, $1.69, $1.69, $1.87, $2.00, $1.96 Round to the nearest hundredth (cent) if necessary. The mean price of eggs over this 11-year period is The median price of eggs over this 11 -year period is
Answer:
Mean price of eggs = $1.64
Median price of eggs = $1.69
Step-by-step explanation:
Mean is the average of the given data
Mean = sum of data/sample size
Sum of data = 1.19+1.21+1.50+1.93+1.50+1.52+1.69+1.69+1.87+2.00+1.96
Sum of data = $18.06
Sample size = 11
Mean price of eggs =18.06/11
Mean price of eggs = $1.64
Hence the mean price of eggs over this 11-year period is $1.64
Median is the price in the middle after rearrangement
Rearranging the data
1.19, 1.21, 1.50, 1.50, 1.52,) 1.69, (1.69, 1.87, 1.93, 1.96, 2.00
Since 1.69 falls in the middle after rearranging;
Hence the median price of eggs over this 11 -year period is $1.69
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
ASA and it can be proven that the triangles are congruent
Step-by-step explanation: