Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5
Please explain in detail I am very confused about the whole thing thx for ur help in advance :)
Given:
[tex](g\circ f)(a)=|a|-2[/tex]
To find:
The functions f(x) and g(x).
Solution:
We know that,
[tex](g\circ f)(a)=g[f(a)][/tex]
If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then
[tex](g\circ f)(a)=g[a^2-4][/tex]
[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]
Option A is incorrect.
If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then
[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]
[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]
[tex](g\circ f)(a)=a-2-2[/tex]
[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]
Option B is incorrect.
If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then
[tex](g\circ f)(a)=g[5+a^2][/tex]
[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]
[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]
[tex](g\circ f)(a)=|a|-2[/tex]
Option C is correct.
If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then
[tex](g\circ f)(a)=g[3-3a][/tex]
[tex](g\circ f)(a)=4(3-3a)-5[/tex]
[tex](g\circ f)(a)=12-12a-5[/tex]
[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]
Option D is incorrect.
Therefore, the correct option is C.
PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?
Answer:
100xy
Step-by-step explanation:
The height of the cylinder is 4x³y² unit.
The correct option is A.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given:
A cylinder has a volume of 20x⁶y⁴ units cubed.
The base of the cylinder has an area of 5x³y² units squared.
And the volume of the cylinder V = Base area x height.
So, 20x⁶y⁴ = 5x³y² (height).
The height of the cylinder = 20x⁶y⁴/ 5x³y²
The height of the cylinder = 4x³y²
Therefore, 4x³y² is the height of the cylinder.
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ5
The complete question is given in the attached image.
correct answer please
find the answer choices
Answer:
Love and support from parents and respect parents
Being a positive role model to everyone and understands friends weaknesses
Compares body to others and obsessed about weight loss
Communicate well with parents and cooks food and do chores
Guidance on decision making in whatever situation and positive friendship
Knowledgeable on teenage health issues and admits faults
Step-by-step explanation:
I figured this out by matching the statements to the correct ending and if there was any I was unsure on I worked that out afterwards.
CAN ANYONE HELP ME FIND THE ANSWERS TO QUESTION 2 !? ASAP .. DUE IN 15 MINS :(
I really need help asap with this math homework,
It is due tonight.
Answer:1920
Step-by-step explanation:
Sorry if this is not accurate but here is how your gonna do it
Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D
50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m
9514 1404 393
Answer:
d. 50 x 10^-2 m
Step-by-step explanation:
"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...
50 cm = 50×10^-2 m
How much is 3/5 of 31/8 ?
Answer:
2.325
Step-by-step explanation:
i used a calculator ,i think i did it right lol
What is the measure of angle 7?
A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...
Answer: [tex]9.38\times10^{33}[/tex]
Step-by-step explanation:
Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]
A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.
Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]
[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]
Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.
Use the figure to find the measure of the angle.Explain your reasoning.
Answer: angle 2 is 28
Step-by-step explanation:if angle (1) and (2) are supplementary which equals 180degrees; we know angle one is 152 degrees, so a simple 180-152= 28 degrees; so angle 2 is 28
The sum of two numbers is
60
and the difference is
10
. What are the numbers?
Answer:
35 and 25.
Step-by-step explanation:
x+y=60
x-y=10
Subtract eq1 by eq2
x-x+y-(-y) = 60-10
2y=50
y=25.
x+25=60
x=35
Hope this helps :D
#Team Rainbows
Identify the solutions (roots) of the function y=x2 + 2x - 3
please help
Answer:
x=1,-3
Step-by-step explanation:
Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M
Answer: 1 625.5cm or 16.255m
Step-by-step explanation:
convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.
convert the cm measurements back to m measurements (i only assume because you said . m at the end)
The total amount of fabric she cut is 17.255 m .
The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.
In order to add the different lengths, the lengths have to be in meters.
100cm - 1 meter
475cm = 475 / 100 = 4.75m
245cm = 245 / 100 = 2.45m
Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m
To learn more about addition, please check: https://brainly.com/question/349488
What is the value of the expression 20/4 - (1/2 + 3 3/4)
Answer:
3/4
You need the LCD which is 4
3 + 1x2/2x2 + 3/4
3 + 2/4 + 3/4
3 + 2+3/4
3+5/4
3 + 1 1/4
20/4 - 4 1/4
20/4 - 4x4+1/4
20/4 - 17/4
5 - 17/4
5x4/4 - 17/4
20/4 - 17/4
3/4
Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a
cup of lemonade, how many cups of lemonade did Carly use? Simplify your answer.
Answer:
carly used 1 1/4 cups of lemonade
Step-by-step explanation:
I think that is simplified
The probability distribution below shows the number of kittens in a litter, Find the probability that a cat will have at most 4 kittens * 7 points
The probability that a cat will have at most 4 kittens is to be considered as the 0.83.
Calculation of the probability;= Probability of 2 + Probability of 3 + Probability of 4
= 0.20 + 0.35 + 0.28
= 0.83
Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.
Learn more about probability here: https://brainly.com/question/3066522
The probability that a cat will have at most 4 kittens is 0.83
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the number of kittens in the litter be = A
Now , when A = 2
The probability distribution is = 0.20
Now , when A = 3
The probability distribution is = 0.35
Now , when A = 4
The probability distribution is = 0.28
Now , when A = 5
The probability distribution is = 0.15
And , the probability that a cat will have at most 4 kittens is calculated by
P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )
= 0.20 + 0.35 + 0.28
= 0.83
Therefore , the probability that a cat will have at most 4 kittens is 0.83
Hence , The probability that a cat will have at most 4 kittens is 0.83
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ2
2x+5y=10
x intercept=
y intercept=
Answer:
x= 0/-8
y= 0/5
Step-by-step explanation:
Brain-List?
Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)
Answer:
the first one on the list because it said refect
8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:
They have room for 166 more people.
Step-by-step explanation:
485 - 319 = 166
Answer:
166 people.
Step-by-step explanation:
If there is room for 485 and 319 people are coming, just subtract. 485-319=166.
There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?
| 11-2 |
Please help me with this
Answer:
The answer is 9
Step-by-step explanation:
brainiest because im in a brother war please
To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail.
(a) What percent of values must be chopped off from each tail for a 95% confidence interval?
(b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?
Answer:
a
[tex]\frac{\alpha }{2} = 2.5 \%[/tex]
b
[tex]N = 25[/tex]
Step-by-step explanation:
From the question we are told that
The number of bootstrap samples is n = 1000
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally the percentage of values that must be chopped off from each tail for a 95% confidence interval is mathematically evaluated as
[tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]
=> [tex]\frac{\alpha }{2} = 2.5 \%[/tex]
Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is
[tex]N = 1000 * \frac{\alpha }{2}[/tex]
=> [tex]N = 1000 * 0.025[/tex]
=> [tex]N = 25[/tex]
Answer:
Step-by-step explanation:
Hey
Use the table to answer the following question.
Х
0
1
2
3
y
8
1
-6
-13
What is an equation that describes the relationship?
0
A. y = 8 - 7x
B. y = 7x + 8
O
C. y = 7x - 8
D. y = 8x - 7
name the property shown by each statement: d x e x 0 = 0
Answer:
Commutative Property of Multiplication. Associative Property of Multiplication.
Step-by-step explanation:
PLS HELP IM IN THE MIDDLE OF A TEST PLSSSSSSSSSSSSSSSSSS AND GIVE ME THE RIGHT ANSWER PLSSSSSSS.
I need help please and thank you !
Answer:
1 1/8 2 1/4 - 1 1/8= 1 1/8
Step-by-step explanation:
Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3
Anna divided a sheet of paper into 5 equal sections in color 3 of the sections blue what percent of the paper did she color
a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
hello I need help on this
Answer: well depends on how much points you scored in your last game
Step-by-step explanation:
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Step-by-step explanation:
9 +6=15-6=9
so your answer should be 9
mark me brainliest lol
Answer:
now you can say as brainliest to other person :)