Answer:
The coefficient of variation after the tax is imposed is 0.033
Step-by-step explanation:
Given
[tex]\mu =1000[/tex] --- mean
[tex]\sigma^2 = 1200[/tex] --- variance
[tex]tax = 10\%[/tex]
Required
The coefficient of variation
The coefficient of variation is calculated using:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
After the tax, the new mean is:
[tex]\mu_{new} = \mu * (1 + tax)[/tex]
[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]
[tex]\mu_{new} = 1100[/tex]
And the new variance is:
[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]
[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]
[tex]\sigma^2_{new} = 1320[/tex]
So, we have:
[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]
[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]
[tex]CV = \frac{36.33}{1100}[/tex]
[tex]CV = 0.033[/tex]
!!! PLEASE HELP ME !!!
Answer:
Be an GH
Step-by-step explanation:
if 125 men can do a piece of work in 120days, how many men would be sufficient to do the same work in 100days?
Answer:
x =150 men
Step-by-step explanation:
Think of the total as workdays
125men* 120days = 15000 workdays
We still need 15000 workdays
100 days * x = 15000workdays
Divide by 100
x = 15000/ 100
x =150 men
Answer:
150 men
Step-by-step explanation:
120 × 125 = 15000
15000 ÷ 100
150
An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and five outcomes possible for the third step. How many experimental outcomes exist for the entire experiment
Answer:
30 experimental outcomes exist for the entire experiment.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
Three outcomes possible for the first step.
Two for the second step.
Five for the third step.
How many experimental outcomes exist for the entire experiment?
Steps are independent, so, by the fundamental counting principle:
3*2*5 = 6*5 = 30
30 experimental outcomes exist for the entire experiment.
252k is a perfect square. Find any two possible values of k.
Which of the following is the inverse of F(x) if F(x) = 6x?
O A. F(x) = 6x
O B. F(x) = x-6
O C. F(X) -
O D. F(x) = x + 6
The correct inverse of F(x) = 6x is y = x/6 according to given question
To find the inverse of a function, we need to interchange the roles of the dependent variable (x) and the independent variable (F(x)) and solve for the new dependent variable.
Given that F(x) = 6x, to find the inverse, we can follow these steps:
Replace F(x) with y: y = 6x.
Swap x and y: x = 6y.
Solve for y: Divide both sides by 6 to isolate y: y = x/6.
Therefore, the inverse function of F(x) = 6x is given by y = x/6.
Out of the options provided:
A. F(x) = 6x: This is the original function, not the inverse.
B. F(x) = x-6: This is not the correct inverse function.
C. F(X): This option is incomplete; it does not provide an equation for the inverse.
D. F(x) = x + 6: This is not the correct inverse function.
Therefore, the correct inverse of F(x) = 6x is y = x/6.
To know more about inverse here
https://brainly.com/question/3831584
#SPJ2
Kevin entered a pie eating contest. He ate 4 pies in 132 seconds. What is kevins unit rate? Awnser without units.
Answer:
Kevin eats 1 pie for every 33 seconds that pass
Step-by-step explanation:
A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:
132 seconds / 4 pies = 33 seconds per pie
33 seconds / 1 pie
However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:
4 pies / 132 = .0303 or 3.03% of a pie per second
.0303 pies / 1 second
Internet service providers (ISP) need to resolve customer problems as quickly as possible. The probability for a customer call regarding Internet service interruption is resolved within one hour is 70%. During one day, the company had 10 customer calls. (10 marks)
a) What is the probability that exactly four of the customers had their problems solved? (Round your answer to the nearest thousandth).
Answer: 0.037
Step-by-step explanation:
The probability that exactly four of the customers had their problems solved will be 0.037.
Check attachment for further details. Note that 10!/6!4! = (10×9×8×7×6×5×4×3×2×1)/(6×5×4×3×2×1×4×3×2×1) = 210
Therefore,
= 210 × 0.7⁴ × 0.3^6
= 0.037
A 17 ft ladder leans against the side of a house. The top of a ladder is 15 ft off the ground. Find X, the angle of elevation of the ladder. Round answer to the nearest TENTH of a degree. (marking BRAINLEST)
Answer:
61.92
Step-by-step explanation:
In ABC, if sin A= 4/5
and tan A=4/3
then what is cos A?
Answer:
in ABC if sin A= 4/5
and tan A=4/3
then cos is
cosA=3/5
The 18 students in Ms. Sara's class picked 660 strawberries at a strawberry patch during their field trip. If they share them equally, how many whole strawberries can each student have
Answer:
36
Step-by-step explanation:
Since there are 18 students in the class and they picked 660 strawberries, you divided 660 by 18, giving you a quotient of 36.6666667. Since the question asks for how many whole strawberries each student can have, the answer is 36.
Answer:
36
Step-by-step explanation:
In a lab a substance was cooled b 6 degrees each hour for 42 hours what was the total change it in temperature
9514 1404 393
Answer:
total cooling was 252 degrees
Step-by-step explanation:
quantity = rate × time
The total temperature change is ...
(-6°/h)(42 h) = -252°
The total change in temperature was a cooling of 252 degrees.
What other expression(s) is/are equivalent to -10 + 4?Choose all that apply.A. -10 + (-4)B. 10 -(-4)C. -10 -(-4)D. -10 –4
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 378 people entered the park, and the admission fees collected totaled 1,042.00 dollars. How many children and how many adults were admitted?
Answer:
188 children, 190 adults
Step-by-step explanation:
For this equation, let c be the number of children, and a represent the number of adults.
On this day 378 total people were at the park, so
a + c = 378 eq 1
Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a
Use the same method for the children, and the total all children paid is 1.50c
From all the children and adults, the total was 1042, so merge the 2 cost variables together.
4a + 1.50c = 1042 eq 2
the 2 equations we will use are
a + c = 378
4a + 1.50c = 1042
From equation 1, subtract c from both sides, and
a = 378 - c eq 3
Substitute the value of a in eq 3 into equation 2
4a + 1.50c = 1042
4 (378 - c) + 1.50c = 1042
1512 - 4c +1.50 c = 1042 (collect like terms)
1512 - 1042 = 4c -1.50 c
470 = 2.5 c
c = 470 /2.5
c = 188 children
Substitute the value of c into eq 3 to get the value of a
a = 378 -c
a = 378 - 188
a = 190 adults
A. -12 units
B. -8 units
C. 8 units
D. 12 units
Answer:
D. 12 units
Step-by-step explanation:
l6l+l-6l=12
add the absolute values.
Complete the missing value in the solution to the equation. 2x + 3y = 12 ( 4_, 8)
Its very simple. So were saying that y is 8. 2x+24=12. Which is 2x=12-24. Which is 2x=-12. Which is x=-6. So if x is -6 when y is 8, then the value must be equal to -6. You just have to find a way to put it into the ordered pair (4_,8)...
Choose the best answer. If necessary, Question 12,9,16,1, 6,5, 84 What is the median of the data set shown?
Answer:
The median of this problem is 9
A pound of chocolate costs 7 dollars. Rachel buys p pounds. Write an equation to represent the total cost c that Rachel pays.
Answer:
c = 7p
Step-by-step explanation:
i think
what is 4/6 ÷8/14???????????????
Answer:
7/6
Step-by-step explanation:
4/6 divided by 8/14
4/6 * 14/8
56/48
Simplified: 7/6
please help me with this
Answer:
y = x
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
A line parallel to the y axis is vertical
It is in the form
x = constant
x = -6
how many days are there in xweeks and x days
Answer:
7 DAYS IN A WEEK
Step-by-step explanation:
MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDA
7 DAYS
Answer:
it depends... What is X in this situation?
Step-by-step explanation:
A week has seven days.
A day has one day..?
I dont know how to help you, Sorry
f(x)=−2x
2
+8x−10
\text{Find }f(-4)
Find f(−4)
Answer:
-74
Step-by-step explanation:
f(x) = -2x^2 +8x -10
Let x = -4
f(-4) = -2 ( -4)^2 +8(-4) -10
= -2(16) -32-10
= -32 -32-10
= -74
Điều kiện nf>=5;n(1-f)>=5 trong loại kiểm định giả thuyết " so sánh tỉ lệ tổng thể với số cho trước ", (với n là cỡ mẫu, f là tỉ lệ mẫu) có nghĩa là gì ?
Answer:
Step-by-step explanation:
Question 12 (2 points)
(08.04 MC)
Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as the data. Which of the following box plots shows the data accurately? (2 points)
a
A box plot is drawn with end points at 24 and 49.The box extends from 32 to 48 and a vertical line is drawn inside the box at 38.
b
A box plot is drawn with end points at 24 and 49.The box extends from 26 to 42 and a vertical line is drawn inside the box at 32.
c
A box plot is drawn with end points at 24 and 49.The box extends from 30 to 46 and a vertical line is drawn inside the box at 36.
d
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Answer:
A box plot is drawn with end points at 24 and 49.The box extends from 28 to 44 and a vertical line is drawn inside the box at 34.
Step-by-step explanation:
Ordering the data given :
24,28,32,34,40,44,49
We can calculate the 5 number summary required to give the appropriate boxplot that can be produced :
Minimum = 24
Maximum = 49
Median = 1/2(n+1)th term
n = 7
Median = 1/2(8) = 4th term
Median = 34
Lower quartile, Q1 = 1/4(n+1)th term
n = 7
1/4(8) = 2nd term
Q1 = 28
Upper quartile : 3/4(n+1)th term
n = 7
Q3 = 3/4(8) = 6th term
Q3= 44
Which choice is equivalent to the expression below?
(-6)^-5
A. (1/6)^5
B. 6^5
C. (-1/6)^5
D. 30
A wave with a frequency of 60 hertz would generate 60 wave crests every
Please show how you did it so I can learn
Answer:
C
Step-by-step explanation:
We have the equation:
[tex]4x^2+5x=-10[/tex]
Add 10 to both sides to isolate the equation.
[tex]4x^2+5x+10=0[/tex]
This is not factorable*, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = 5, and c = 10.
Substitute:
[tex]\displaystyle x=\frac{-(5)\pm\sqrt{(5)^2-4(4)(10)}}{2(4)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{-5\pm\sqrt{-135}}{8}[/tex]
Since we cannot take the root of a negative, we have no real solutions.
Our answer is C.
*To factor something in the form of:
[tex]ax^2+bx+c=0[/tex]
We want two numbers p and q such that pq = ac and p + q = b.
Since ac = 4(10) = 40. We need to find two whole numbers that multiply to 40 and add to 5.
No such numbers exist, so the equation is not factorable.
Answer:
c) No Real Solution
Step-by-step explanation:
I'ma try my best to explain it!
We have: 4x^2+5x=−10
Step 1: Subtract -10 from both sides.
4x^2+5x−(−10)=−10−(−10) (you don't put the -10 next to it but you put it in the bottom)
Then we get 4x^2+5x+10=0 from the subtraction above
For this equation: a=4, b=5, c=10
4x^2+5x+10=0
Then we use quadratic formula with a=4, b=5, c=10
The answer is the picture below: means no solution
Hope this helps and is correct!
you can play one game for free. Which game has a higher expected value:
a. a 0% chance of winning $1,000
b. a 10% chance of winning $50
c. a 100% chance of winning $1
d. a 25% chance of winning $100
- 1 7/8 + 2 1/4
Plz help im confused
[tex]0.375[/tex] ✅
Step-by-step explanation:
[tex] - 1 \frac{7}{8} + 2 \frac{1}{4} \\ = - \frac{15}{8} + \frac{9}{4} \\ = - \frac{15}{8} + \frac{9 \times 2}{4 \times 2} \\ = \frac{ - 15 + 18}{8} \\ = \frac{3}{8} \\ = 0.375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
ITS AN EMERGENCY PLEASE!
Identify the power of the radicand below. 7 sq root 3 to the 4th power
A. 3
B. 4
C. 7
D. The radical above does not have a power
Determine the time 2 hours and 7 minutes after 22:57
Answer:
01:04
Step-by-step explanation:
add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.
