Answer:
Fig C take reflection over horizontal axis (parallel to x axis) to be figure D
Fig D further take reflection over vertical axis -> fig D' -> reflection over horizontal axis -> F
Step-by-step explanation:
Find the inverse of the following function. A. B. C. D.
Answer:
i think the answer is C
Step-by-step explanation:
Answer:
a
Step-by-step explanation
yes def
positive continous random variable with disbution and density we define in class the expected value to be prove, that given this definition:
Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.
A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.
The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).
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Swornima is an unmarried nurse in a
hospital. Her monthly basic salary is Rs
48,000. She has to pay 1% social
security tax on her income up to Rs
5,00,000 and 10% income tax on Rs
5,00,001 to Rs 7,00.000. She gets 1
months' salary as the Dashain
allowance. She deposits 10% of her
basic salary in Citizen Investment Trust
(CIT) and gets 10% rebate on her
income tax. Answer the following
questions. (i) What is her annual
income? How much tax is rebated to
her? (iii) How much annual income tax
should she pay?
To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:
Monthly basic salary: Rs 48,000
Social security tax rate: 1%
Income tax rate on income up to Rs 5,00,000: 0% (no tax)
Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%
Dashain allowance: 1 month's salary
Deposit in Citizen Investment Trust (CIT): 10%
Rebate on income tax: 10%
(i) Annual Income:
Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:
Annual Basic Salary = Monthly Basic Salary x 12
= Rs 48,000 x 12
= Rs 5,76,000
Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:
Annual Income = Annual Basic Salary + Dashain Allowance
= Rs 5,76,000 + Rs 48,000
= Rs 6,24,000
Swornima's annual income is Rs 6,24,000.
(ii) Tax Rebate:
Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.
(iii) Annual Income Tax:
First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.
Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000
= Rs 1,24,000
Income Tax in this range = Taxable Income x Tax Rate
= Rs 1,24,000 x 0.1
= Rs 12,400
Now, let's calculate the total annual income tax:
Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000
= Rs 12,400
Next, we calculate the rebate on income tax:
Tax Rebate = Total Annual Income Tax x Rebate Rate
= Rs 12,400 x 0.1
= Rs 1,240
Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.
To summarize:
(i) Swornima's annual income is Rs 6,24,000.
(ii) Swornima's tax rebate is Rs 1,240.
(iii) Swornima should pay an annual income tax of R
Shelby is shopping for fruit to pack in her lunch each day this week. She's sees that grapes are on sale for $1.49/lb and pears are on sale for $1.29/lb. She decides to purchase some of each. She spends a total of $8.44 on all fruit she purchased and brought home a total of 6lbs of fruit.
Answer:
What am i supposed to be solving please give more description
Step-by-step explanation:
Please help and show how you found the answer step by step.
According to the information, the perimeter of the triangle is ≈ 31.18
How to calculate the perimeter of the triangle?To find the distance between two points, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's label the coordinates as follows:
Point 1: (-2, 3)
Point 2: (3, -2)
Now we can substitute these values into the distance formula:
distance = sqrt((3 - (-2))^2 + (-2 - 3)^2)
distance = sqrt((5)^2 + (-5)^2)
distance = sqrt(25 + 25)
distance = sqrt(50)
distance ≈ 7.07
Therefore, the distance from (-2, 3) to (3, -2) is approximately 7.07 units.
To find the perimeter of the triangle, we need to find the length of all three sides of the triangle and then add them up.
Using the distance formula, we can find the length of the sides:
Side 1: (-2,3) to (3,-2)
d = √[(3 - (-2))^2 + (-2 - 3)^2]
= √[5^2 + (-5)^2]
= √50
= 5√2
Side 2: (3,-2) to (-7,-2)
d = √[(-7 - 3)^2 + (-2 - (-2))^2]
= √[(-10)^2 + 0^2]
= 10
Side 3: (-7,-2) to (-2,3)
d = √[(-2 - (-7))^2 + (3 - (-2))^2]
= √[5^2 + 5^2]
= 5√2
Therefore, the perimeter of the triangle is:
5√2 + 10 + 5√2 = 15√2 + 10 ≈ 31.18 (rounded to two decimal places)
An two of the three sides are equal, so it is an isosceles triangle.
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a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z
Answer:
116
Step-by-step explanation:
this is the correct answer
bruce spins a spinner that has 4 equal sections of blue, red, red and green. he will also roll a 6-sides number cube what is the probability that bruce will spin a red and roll an even number
Answer:
D. You were correct.
Step-by-step explanation:
The even numbers on a 6 sided dice are 2 4 6 or 3/6 which is 1/2
The spinner has 2 red sections out of 4. The probability of getting a red is 2/4 = 1/2
P(even and red) = 1/2 * 1/2 = 1/4
I don't know what the table is for.
A force of 200n is inclined at an angle of 120° to another force P. The angle between the 200n force and the resultant force is 50°. Find the magnitude of the force P and the resultant of the two force.?
Answers:
Magnitude of force P = 163.041494
Magnitude of resultant force = 184.320997
Values are approximate. Units are in newtons.
====================================================
Explanation:
Let for P be pulled directly to the east. The vector for this force is <x, 0> where x is positive.
The 200 newton force has the vector <200*cos(120), 200*sin(120)>
The resultant vector is <x+200*cos(120),200*sin(120)>. Each component is the sum of the corresponding components of <x,0> and <200*cos(120), 200*sin(120)>
The resultant vector is also <r*cos(70),r*sin(70)>. Note how 70+50 = 120. The 50 degree angle is known, so we effectively do 120-50 = 70 to find the angle of the resultant vector with the positive x axis.
------------------------------
The resultant vector expressions we found were
<r*cos(70),r*sin(70)><x+200*cos(120),200*sin(120)>Equate the y components of each resultant vector expression. Solve for r
r*sin(70) = 200*sin(120)
r = 200*sin(120)/sin(70)
r = 184.320997021376
Make sure your calculator is in degree mode.
Let's round this r value to 6 decimal places to simplify things a bit
r = 184.320997
------------------------------
Now equate the x components of each resultant vector expression, plug in the r value we found, and solve for x
x+200*cos(120) = r*cos(70)
x+200*cos(120) = 184.320997*cos(70)
x = 184.320997*cos(70) - 200*cos(120)
x = 163.041494
this value is approximate just like r is as well
------------------------------
The magnitude of force P is
magnitude = sqrt(x^2+y^2)
magnitude = sqrt(x^2+0^2)
magnitude = sqrt((163.041494)^2+0^2)
magnitude = 163.041494
Which is equal to the x value. This applies because y = 0.
-----------------------------
The magnitude of the resultant is r = 184.320997 which we found earlier
Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
Could I get help with this? Thank you
Answer:
Equation: \(y=-\frac{5}{4} x\)
Slope: \(-\frac{5}{4}\)
Point: \((-4,5)\)
Step-by-step explanation:
To find the slope, you need two points \((-4,5)\) and \((0,0)\).
Then use the Slope Formula to Identify the slope.
M = Slope
M = \(\frac{y2-y1}{x2-x1}\) Second y being subtracted by the first y / the second x being subtracted by the first x.
M = \(\frac{0-5}{0--4}\) Plot the x and y values (In order) Then subtract
M = \(\frac{-5}{4}\) Move the negative sign
M = \(-\frac{5}{4}\)
Slope = \(-\frac{5}{4}\)
Then the Equation has to be written in Slope-Intercept Form (y=mx+b)
y = \(-\frac{5}{4} x\)
Anybody know the answer?
Answer:
the answer is c
Step-by-step explanation:
5/8-3/8 is 1/4 + 2 is 2 1/4 then put into improper fraction
What is the soulution to the equation 4x — 2x = 12
Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4x - 2x = 12
Step 2: Solve for x
Combine like terms: 2x = 12Isolate x: x = 6A 4-pack of bracelets costs $2.24. What is the unit price?
$0.56 per unit.
$2.24 ÷ 4 = 0.56 per unit
Answer:
0.56
Step-by-step explanation:
2.24/4=0.56
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Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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(REPOST) PLS HELP Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.
What is the volume of this box?
192in³
275in³
37512 in³
425in³
Answer:
4 x 8.5 x 12.5 =425 (multiple hight x width x length)
The volume of the box is \(425in^{3}\)
Answer:
425 in³
Step-by-step explanation:
V = whl
12 1/2 · 8 1/2 · 4 = 425
1809
×308
_____
______
Answer:
557152
Step-by-step explanation:
You first multiply the 8 in 308 to the 9 in 1809, then the 0, then the 9, then finally the 1 in 1809. For the tens place, don't forget to put a zero under the ones place because that's not where you start. So for 0 everything is 0 so just put a line of 5 zeros in the second row. Lastly, the 3 multiplies to 9, 0, 8, and the 1 in 1809. In the 3rd row, put 2 zeros because you're multiplying to get the hundreds place. Line and add them all up to get 557152. Hope this helps!
Answer:
1809 x 308 eqauls 557,172
if you click the image it will show you how to solve the equation step by step. I hope this helps you.
The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations ("Friday the 13th," 2013). The data for each location on the two different dates is in table #9.2.6. Estimate the mean difference in traffic count between the 6th and the 13th using a 90% level. Dates 6th 13th 1990, July 139246 138548 1990, July 134012 132908 1991, September 137055 136018 1991, September 133732 131843 1991, December 123552 121641 1991, December 121139 118723 1992, March 128293 125532 1992, March 124631 120249 1992, November 124609 122770 1992, November 117584 117263
Answer: The mean difference is between 799586.3 and 803257.9.
Step-by-step explanation: To estimate the mean difference for confidence interval:
Find the statistic sample:
d = value of 6th - value of 13th;Sample mean of difference: mean = ∑d / nSample standard deviation: s = ∑(d - mean)² / n - 1;For the traffic count, mean = 1835.8 and s = 1382607.3
The confidence interval is 90%, so:
α = \(\frac{1-0.9}{2}\)
α = 0.05
The degrees of dreedom are:
df = n - 1
df = 10 - 1
df = 9
Using a t-ditribution table, the t-score for α = 0.05 and df = 9 is: t = 1.833.
Error will be:
E = \(t.\frac{s}{\sqrt{n} }\)
E = 1.833.(\(\frac{1382607.3}{\sqrt{10} }\))
E = 801422.1
The interval is: mean - E < μ < E + mean
1835.8 - 801422.1 < μ < 1835.8+801422.1
-799586.3 < μ < 803257.9
The estimate mean difference in trafic count between 6th and 13th using 90% level of confidence is between 799586.3 and 803257.9.
Find the PERCENT of change of 20 dogs to 5 dogs.
The percent οf change frοm 20 dοgs tο 5 dοgs is a decrease οf 75%.
What is percentage?Percentage is a way οf expressing a number οr prοpοrtiοn as a fractiοn οf 100. It is represented by the symbοl "%". Fοr example, if 30 οut οf 100 students in a class are girls, we can say that the percentage οf girls in the class is 30%. In οther wοrds, 30% means 30 οut οf 100, οr 0.3 as a decimal.
Tο find the percent οf change frοm 20 dοgs tο 5 dοgs, we need tο calculate the percentage decrease in the number οf dοgs.
The fοrmula fοr percent change is:
% change = (final value - initial value) / initial value x 100%
Using this fοrmula, we get:
% change = (5 - 20) / 20 x 100%
% change = -15 / 20 x 100%
% change = -0.75 x 100%
% change = -75%
Therefοre, the percent οf change frοm 20 dοgs tο 5 dοgs is a decrease οf 75%.
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Let a(x)=x^2+2 and b(x)=3x+2. Which of the following would be b(a(x))
Answer:
b (x² + 2) = 3x² + 8
Step-by-step explanation:
Hope you have a great day
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
In most countries, gasoline is measured in liters. The volume of one liter is approximately one quart. There are four quarts in one gallon. In Europe, gasoline costs $1.86/liter. How does this price compare with the cost of gasoline in the United States?
Answer:
Europe 1.86 VS 0.79 US
Step-by-step explanation:
All you have to do is take US gass prices and simply divide it by four then compare.
The price compared with the cost of gasoline in the United States will be $7.44 per gallon.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
In most countries, gasoline is measured in liters. The volume of one liter is approximately one quart. There are four quarts in one gallon.
Then the conversion of liter to gallons will be
1 liter = 1 quart
1 gallon = 4 quarts
1 gallon = 4 liters
In Europe, gasoline costs $1.86/liter.
Then the price compared with the cost of gasoline in the United States will be
⇒ $1.86 / liter
⇒ $1.86 / (1/4) gallon
⇒ $1.86 x 4
⇒ $7.44 per gallon
The price compared with the cost of gasoline in the United States will be $7.44 per gallon.
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Can you please help me
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
15ml of Tylenol 3 to given every 4-6 hours. Your research indicates that there are 12mg of codeine per 5ml of liquid and that the safe dosage is between 0.5 and 1mg/kg/every 4-6 hours. Is this prescription safe for your child? Explain. If not, what would a safe dose be?
Answer:
If the safe dose is .5 to 1 mg/kg/dose, the safe limit depends on the side of the child. Using the more conservative limit of .5mg/kg, you have 36mg(kg/.5mg)=72kg, which is roughly 160lbs, Even with the upper limit of 1mg/kg, you still have 36mg(kg/1mg) = 36kg, or 80lbs, which is a larger child. I would say this dose isn't "safe", but you really need the weight of the child to calculate what is a safe dose.
Step-by-step explanation:
need to pick three options. please need help on this
A company created a new container in the shape of a
triangular prism that will hold sunflower seeds. A three-
dimensional image of the container is shown below, as
well as a two-dimensional image of the base.
6 in.
3.2 in.
2 in.
3.2 in.
1 in.
square inches
1 in.
The container will be made from cardboard. How many
square inches of cardboard are needed to make one
container? Assume there are no overlapping areas.
The number of square inches of cardboard that are needed to make one
the container is 18.
We have,
The volume of the triangular prism.
= Area of the triangle x height
Now,
Height = 6 in
And,
To find the area of a triangle, we can use Heron's formula.
A = √(s(s-a)(s-b)(s-c))
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.
Let's calculate the area using Heron's formula:
s = (3.2 + 3.2 + 2) / 2 = 4.2
A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))
A = √(4.2 x 1 x 1 x 2.2)
A = √(9.24)
A ≈ 3.04 square inches
Now,
The volume of the triangular prism.
= Area of the triangle x height
= 3.04 x 6
= 18.24 in²
Now,
Area of one cardboard.
= 1² in²
= 1 in²
Now,
The number of square inches of cardboard that are needed to make one
container.
= The volume of the triangular prism / Area of one cardboard
= 18.24 in² / 1 in²
= 18.24
= 18
Therefore,
The number of square inches of cardboard that are needed to make one
the container is 18.
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Let f (7) = 12 and g(2) = 7, then what is the value of (f o g)(2)
PLEASE HELP
A. 12
B. 84
C. 7
D. 2
THE ANSWER IS NOT C
look at the cube below.Which statement correctly calculates the volume of the cube? Choose True or False for
We have the following:
The volume of a cube is as follows:
\(V=a\cdot a\cdot a=a^3\)In this case, a = 5, replacing:
\(\begin{gathered} V=5\cdot5\cdot5 \\ V=5^3 \\ V=5\cdot5\cdot5=25\cdot5 \end{gathered}\)Therefore, b, d and e are true, meanwhile options a and c are false.
HELP PLEASE!!!!!
Which statement describes the system of equations?
x+2y=2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, –1).
Sheila went shopping. She spent 4 of her money on a hat and į of
her remaining money on a shirt. After those two purchases she had
$20.
How many dollars did Sheila have at the start of her shopping trip?
Answer:$32
Step-by-step explanation: so you add 4 and 8 to get 12 and then add to 20 to get the start of her money. good luck on your grades
how do I divide numbers by using long division.
The only rule to follow is
Divide dividend by divisor and the mention the quotient and things left after remains in place of remainder
Here is a sample
\(\sf\Large\qquad\quad16\\ \begin{array}{cc} \cline{2 - 2}\sf 20 )&\sf \ 327\\&\sf - 20 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 127\\ &\sf \ - 120 \\ \cline{2-2} & \sf \ \007 \\ \cline{2-2} \end{array}\\\\\\ \sf Divisor \rightarrow 20 \\ \\ \sf Quotient \rightarrow 16\\\\ \sf Remainder \rightarrow 7\)