Answer:
[tex]f(g(2)) = 2[/tex]
Step-by-step explanation:
Given
[tex]x \to f(x)[/tex]
[tex]-6 \to 1[/tex]
[tex]-3 \to 2[/tex]
[tex]g(x) = f^{-1}(x)[/tex] --- inverse
Required
[tex]f(g(2))[/tex]
For two functions f(x) and g(x) where f(x) and g(x)are inverse;
[tex]f(g(x)) = x[/tex]
So, by comparison:
[tex]f(g(2)) = 2[/tex]
In a study on the time that
a student required to obtain a college degree is randomly selected to 80
students and it is discovered that they have an average of 4.8 years (according to data from the National
Center for Education Statistics). Assuming s 2.2 years, construct an estimate of a confidence interval of the population mean. The confidence interval
the result contradicts the fact that 39% of students get their college degree in four years?
The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.
-----------------------------
To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
-----------------------------
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 80 - 1 = 79
-----------------------------
95% confidence interval
Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9905.
-----------------------------
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
-----------------------------
The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.
The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.
-----------------------------
The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.
A similar question is given at https://brainly.com/question/24278748
HELP ,E P[LE[PAK LIUDGHMLA FsgdfsA FSD
Answer:
11 is the mean, median,mode
HOW TO FIND THE MODE
Find the number that is seen most often in the dataset.
HOW TO FIND THE MEDIAN
Find the number that's in the middle.
HOW TO FIND THE MEAN
Add all the numbers together. Then, divide by the amount of numbers in the dataset.
Step-by-step explanation:
You are offered two stocks. The beta of A is 1.4 while the beta of B is 0.8. The growth rates of earnings and dividends are 10% and 5%, respectively. The dividend yields are 5% and 7%, respectively.
Since A offers higher potential growth, should it be purchased?
Investments- Individual Work 2 Page 3
Since B offers a higher dividend yield, should it be purchased?
If the risk-free rate of return were 7% and the return on the market is expected to be 14%, which of these stocks should be bought?
Answer:
a) Yes , Cause The Expected Returns of stock A is Higher than that of B
b) No, Cause The Expected Returns of stock B is Lower than that of A
Step-by-step explanation:
From the question we are told that:
Beta A \beta A=1.4
Beta B \beta B=0.8
Stock 1 Growth rates of earnings and dividends G_1=10\%
Stock 2 Growth rates of earnings and dividends G_2=5\%
Stock 1 Dividend yields D_1=5\%
Stock 2 Dividend yields D_2=7\%
Generally the equation for Expected Returns is mathematically given by
Expected Returns =Growth rates+Dividend yields
For Stock 1
Expected\ Returns =G_1+D_1
Expected\ Returns =5%+10%
Expected\ Returns =15%
For Stock 2
Expected\ Returns =G_2+D_2
Expected\ Returns =7%+5%
Expected\ Returns =12%
Therefore
a) Yes , Cause The Expected Returns of stock A is Higher than that of B
b) No, Cause The Expected Returns of stock B is Lower than that of A
What percentages of participants in the study were American?
what is the perfect square of 96
Step-by-step explanation:
We determined above that the greatest perfect square from the list of all factors of 96 is 16.
What integer is equal to 5!×2!?
Answer:
240
Step-by-step explanation:
! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.
Evaluate the expression for n = –8.
–2n − 6 =
Answer:
10Step-by-step explanation:
-2n - 6 = ?let n be -8-2 (-8) - 6 = ?= 10[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Amira starts an exercise programme on the 3rd of March. She decides she will swim every
3 days and cycle every 4 days. On which dates in March will she swim and cycle on the
same day?
Answer:
12 days
Step-by-step explanation:
The answer of the problem is the LCM of 3 and 4=12. Hence the answer is 12 days
On 12 March she will swim and cycle on the same day if Amira starts an exercise program on the 3rd of March.
What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
We have:
Amira starts an exercise program on the 3rd of March.
She will swim every 3 days and cycle every 4 days.
Total days =3 + 4 = 7 days = 1 week
The day she swims and cycles on the same day = LCM of 3 and 4
= 3, 6, 9, 12, 15
= 4, 8, 12, 16
= 12
Thus, on 12 March she will swim and cycle on the same day if Amira starts an exercise program on the 3rd of March.
Learn more about the LCM here:
brainly.com/question/20739723
#SPJ2
26. A dealer was paid 5% commission on all the recharge cards he sold. If he sold N50,000.00 worth of cards, how much commission did he get?
Answer:
Its N2500
Step-by-step explanation:
5% of 50000 is 2500, so thats how much commision he got
The dealer earned a commission of N2,500.00 on the sale of recharge cards worth N50,000.00.
To calculate the commission earned by the dealer, we need to determine 5% of the total value of the recharge cards sold.
Given that the dealer sold N50,000.00 worth of cards, we'll calculate the commission using the following formula:
Commission = (Percentage/100) * Total Value
In this case, the percentage is 5% and the total value is N50,000.00.
Using the formula, we have:
Commission = (5/100) * N50,000.00
Simplifying the equation:
Commission = 0.05 * N50,000.00
Commission = N2,500.00
To learn more about commission click on,
https://brainly.com/question/18129721
#SPJ2
Which is the sum of the sequence {5*1, 5*8, 5*27, 5*64, 5*125, 5*216}?
Answer:
2160
Step-by-step explanation:
I find that it is easier to split the sequence into smaller, more manageable sections. For numbers beyond 13, the simplest way is to split it up into place values.
Note: * is a multiplication symbol
5*1 = 5
5*8 = 40
5*27 = (5*20) + (5*7) = 100+35 = 135
5*64 = (5*60) + (5*4) = 300+20 = 320
5*125 = (5*100) + (5*20) + (5*5) = 500+100+25 = 625
5*216 = (5*200) + (5*10) + (5*6) = 1000+50+30=1080
Now you can add all of the totals up!
135+320+625+1080 = 2160
please solve asap thanks
I think..
A' =( -1,-4 )
B' = ( 3,-2 )
C'=( - 2, 2 )
Answer:
A' (-3, 12)
B' (9, 6)
C' (-6, -6)
Step-by-step explanation:
A (-1 , 4 ) , K = 3 => K * each with coordinate of A => (-1 * 3, 4 * 3)
B ( 3 , 2 ) , K = 3 => K * each with coordinate of B => (3 * 3, 2 * 3)
C ( -2 , -2 ) , K = 3 => K * each with coordinate of C => (-2 * 3, -2 * 3)
A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. Which tree diagram below shows all of the combinations for a sandwich, soup, and beverage?
Answer:
A.
Step-by-step explanation:
A. is the answer because they list all of the sandwiches, soups, and beverages with every possible combination.
helppp ASPPP plzz Select the correct answer.
Answer:
C. [tex]-2x^3+2\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{x} -x-(2x^3-\sqrt{x} -x)[/tex]
Change the signs of g(x)
[tex]\sqrt{x} -x-2x^3+\sqrt{x} +x[/tex]
Simplify
[tex]-2x^3+2\sqrt{x}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
find the missing side. round your answer to the nearest tenth. PLEASE HURRY
Answer:
5.4
Step-by-step explanation:
cos(theta) = B/H
cos(75)=x/21, x=5.4
You need a 75% alcohol solution. On hand, you have a 60 mL of a 55% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?
You will need_____ mL of the 85% solution
60 mL=55% alcohol
?mL=85% alcohol
85×60÷55
=92.727 mL
I think do like this....I'm not sure
Hope this help you
9514 1404 393
Answer:
120 mL
Step-by-step explanation:
Let x represent the amount of 85% solution needed. Then the total amount of alcohol in the mix is ...
0.55(60) +0.85(x) = 0.75(60 +x)
33 + 0.85x = 45 +0.75x . . . . . . . eliminate parentheses
0.85x = 12 +0.75x . . . . . . . . . .subtract 33
0.10x = 12 . . . . . . . . . . . . . . subtract 0.75x
x = 120 . . . . . . . . . . . . . . multiply by 10
You will need 120 mL of the 85% solution.
Layla guesses on all 20 questions of a multiple-choice test. Each question has 4 answer choices. What is the probability of a success and a failure for this experiment?
Step-by-step explanation:
what is the criteria for success ? how many questions must be right ? and how many must be wrong for failure ?
if success means all answers right, then she has 4 choices on the first question to pick one right answer. and then for each of those again 4 choices on the second question and so on.
so, all possible outcomes are 4²⁰.
that means the probability to guess all 20 right is
1/4²⁰
a tiny, tiny number.
and the probabilty to have all wrong ?
she has 4 choices to pick 1 of 3 wrong answers.
so, the probability is 3/4 to answer the first question wrong.
for that she has again then the same chance to get the second question wrong too.
so, it is 3/4 × 3/4 = 9/16
and so on.
the probability to guess all 20 wrong is then
(3/4)²⁰ ≈ 0.0032
that is still a small number but much, much larger than the probability to get everything right.
still, even the goal to truly get everything wrong is highly unlikely.
How do i work out the area of a circle that equals 5000
Answer:
Radius is 39.89422804 units
Step-by-step explanation:
Area of circle can be calculated with the formula: [tex]\pi r^{2}[/tex]
The area of the circle is 5000.
[tex]\pi r^{2}[/tex]= 5000
If you're looking for the radius, solve for r.
[tex]r^{2}[/tex]= [tex]\frac{5000}{\pi }[/tex]
r= [tex]\sqrt{\frac{5000}{\pi} }[/tex]
r= 39.89422804 units
Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben
Answer:
Ben traveled 93.75% of his usual distance.
Step-by-step explanation:
Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:
80 = 100
75 = X
75 x 100/80 = X
93.75 = X
Therefore, Ben traveled 93.75% of his usual distance.
A rotation or turn always moves clockwise and never counterclockwise.
True
False
Answer:
False
Step-by-step explanation:
It can go in any direction
Answer:
False
Step-by-step explanation:
Rotations can be either clockwise or counterclockwise
Find the value of [(33.7)² - (15.3)²]^½ leaving your answer correct to 4 significant figures
Answer:
30.03
Step-by-step explanation:
[(33.7)² - (15.3)²]^½
= [1135.69 - 234.09]^½
= [901.6]^½
= 30.02665483
= 30.03 (4sf)
ly which number does the digit 6 have a value that is 10 times as great as the digit 6 in the number
62,045?
Answer:b
Step-by-step explanation:
Answer:
it is not B!!!. It is D (640,488)
look at the image to find the question
Answer:
yes, the volume = 16 ft^3
write your answer in simplest radical form
Answer:
[tex]8\sqrt{2}[/tex]
Step-by-step explanation:
Maybe this image can help you.
A research center poll showed that 76% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?
Answer:
6/25
Step-by-step explanation:
P(have belief) =76/100 = 19/25
P (does not have belief) = 1-19/25 = 6/25
The HCF of two numbers is 175. The LCM of these two numbers is 12600. Both numbers are greater than their HCF. Find the two numbers
Answer:
Hello,
Answer : 1400 and 1575
Step-by-step explanation:
Let's say a and b the ywo numbers
[tex]HCF(a,b)=a\vee b=175=5^2*7\\LCM(a,b)=a\wedge b=12600\\\\a*b=(a\vee b)*(a\wedge b)=(2^3*3^2*5^2*7)*(5^2*7)=2^3*3^2*(5^2*7^2)^2\\\\Both\ numbers\ are\ greater\ than\ their HCF\\a=175*k_1\\b=175*k_2\\\\k_1=2^3\ and\ k_2=3^2\\\\a=175*2^3=1400\\b=175*3^2=1575\\\\[/tex]
Solve the equation.
0.50x +0.45(50) = 48.5
x=?
Answer:
x=52 Here is y
Step-by-step explanation:
Jack is going to the fair. The fair charges $10 to enter and $0.25 per ticket. How much will be spent by Jack? t = tickets 0.25 + 10 10 + 0.250. pless help
Answer:
10 + .25t
Step-by-step explanation:
The total amount spent is equal to the amount to get in plus the cost of the tickets times the number of tickets
cost = 10 + .25t
Write the place and Value of Each Number
27 210 What place is the selected digit in?
What is the value of the selected digit?
48,177 What place is the selected digit in?
What is the value of the selected digit?
A
62,774 What place is the selected digit in?
What is the value of the selected digit?
73,646 What place is the selected digit in?
What is the value of the selected digit
A
Answer:
C
Step-by-step explanation:
4)
Write an inequality for the graph below. If necessary, use
<= for < or >= for .
9514 1404 393
Answer:
y < -1/4x -1
Step-by-step explanation:
The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...
m = rise/run = -1/4
The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...
y = mx + b
y = -1/4x -1
__
The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:
y < -1/4x -1
I don’t remember learning this, need some help!
Answer:
4
Step-by-step explanation:
(y+2)²=[(-4)+2]²
=(-4+2)²
=-2²
=4
