Answers
a) The binomial probability distribution is solved
b) The mean is 3 and standard deviation is 1.2247
c) The mean is 3 and standard deviation is 1.2247
Given data ,
a)
To construct a binomial probability distribution, we can use the binomial probability formula:
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
p = 0.5
For x = 0:
P(X = 0) = (6C0) * (0.5^0) * ((1 - 0.5)^(6 - 0)) = 1 * 1 * 0.015625 = 0.015625
For x = 1:
P(X = 1) = (6C1) * (0.5)¹ * ((1 - 0.5)⁽⁶⁻¹⁾) = 6 * 0.015625 = 0.09375
For x = 2:
P(X = 2) = (6C2) * (0.5^2) * ((1 - 0.5)^(6 - 2)) = 15 * 0.015625 = 0.234375
For x = 3:
P(X = 3) = (6C3) * (0.5^3) * ((1 - 0.5)^(6 - 3)) = 20 * 0.015625 = 0.3125
For x = 4:
P(X = 4) = (6C4) * (0.5^4) * ((1 - 0.5)^(6 - 4)) = 15 * 0.015625 = 0.234375
For x = 5:
P(X = 5) = (6C5) * (0.5^5) * ((1 - 0.5)^(6 - 5)) = 6 * 0.015625 = 0.09375
For x = 6:
P(X = 6) = (6C6) * (0.5^6) * ((1 - 0.5)^(6 - 6)) = 1 * 0.015625 = 0.015625
Thus, the binomial probability distribution for the given table is as follows:
x: { 0, 1, 2, 3, 4, 5, 6 }
y: { 0.015625, 0.09375, 0.234375, 0.3125, 0.234375, 0.09375, 0.015625 }
b)
The mean is μ = Σ [ x P ( x ) ]
μ = (0 * 0.015625) + (1 * 0.09375) + (2 * 0.234375) + (3 * 0.3125) + (4 * 0.234375) + (5 * 0.09375) + (6 * 0.015625)
μ = 0 + 0.09375 + 0.46875 + 0.9375 + 0.9375 + 0.46875 + 0.09375
μ = 3
The standard deviation σ = √Σ (x²P(x) - μ ²)
Σ(x^2 * P(x)) = (0^2 * 0.015625) + (1^2 * 0.09375) + (2^2 * 0.234375) + (3^2 * 0.3125) + (4^2 * 0.234375) + (5^2 * 0.09375) + (6^2 * 0.015625)
= 0 + 0.09375 + 0.9375 + 2.8125 + 3.75 + 2.34375 + 0.65625
= 10.59375
Now, we can calculate the standard deviation:
σ = √(Σ(x^2 * P(x)) - μ^2)
σ = √(10.59375 - 3^2)
σ = √(10.59375 - 9)
σ = √(1.59375)
σ ≈ 1.261
Therefore, the standard deviation (σ) is approximately 1.261.
c)
To find the mean (μ) and standard deviation (σ) of a binomial probability distribution, we can use the following formulas:
Mean (μ) = n * p
Standard Deviation (σ) = sqrt(n * p * (1 - p))
Given the values n = 6 and p = 0.5, we can calculate the mean and standard deviation as follows:
Mean (μ) = 6 * 0.5 = 3
Standard Deviation (σ) = sqrt(6 * 0.5 * (1 - 0.5)) = sqrt(1.5) ≈ 1.2247
Hence , the mean of the binomial probability distribution is 3 and the standard deviation is 1.2247.
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ1
Related Questions
If f(x)=7+4x and g(x)=1/2x, what is the value of {f/g}(5)?
Answers
Answer:
the value of {f/g}(5) is 10.8.
Step-by-step explanation:
To find the value of {f/g}(5), we need to evaluate the function f(x)/g(x) at x = 5.
First, let's calculate f(5) and g(5):
f(5) = 7 + 4(5) = 7 + 20 = 27
g(5) = (1/2)(5) = 5/2 = 2.5
Now, we can find {f/g}(5) by dividing f(5) by g(5):
{f/g}(5) = f(5) / g(5) = 27 / 2.5 = 10.8
If the function f(x)=7+4x and g(x)=1/2x, the value of {f/g}(5) is 10.8.
To calculate the value of {f/g}(5), substitute x = 5 into the expression for f(x) and g(x) and then divide f(5) by g(5).
Given that:
f(x) = 7 + 4x
g(x) = (1/2)x
f(5) = 7 + 4(5)
= 7 + 20
= 27
So,
g(5) = (1/2)(5)
= 5/2
= 2.5
Hence,
{f/g}(5) = f(5) / g(5)
= 27 / 2.5
= 10.8
Thus, 10.8 is the value of {f/g}(5).
For more details regarding function, visit:
https://brainly.com/question/30721594
#SPJ1
A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $14.60 per pound should be mixed with 12 pounds of trail mix costing $4.40 per pound to create a mixture worth $9.70 per pound? (round to the nearest pound)
Answers
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] pound chocolate
Let x be the number of pounds of chocolate that needs to be mixed.
The cost of the chocolate is $14.60 per pound, so the cost of x pounds of chocolate is 14.6x dollars.
The cost of the trail mix is $4.40 per pound, so the cost of 12 pounds of trail mix is 4.4(12) = 52.8 dollars.
The cost of the mixture is $9.70 per pound, so the cost of (x + 12) pounds of the mixture is 9.7(x + 12) dollars.
We can set up an equation based on the fact that the total cost of the mixture equals the sum of the costs of the individual components:
14.6x + 52.8 = 9.7(x + 12)
Simplifying and solving for x, we get:
14.6x + 52.8 = 9.7x + 116.4
4.9x = 63.6
x = 12.98
Rounding to the nearest pound, we get x = 13.
Therefore, the store owner should mix 13 pounds of chocolate with 12 pounds of trail mix to create a mixture worth $9.70 per pound.
#SPJ1
Eliminate the parameter.
x=cost, y=tant
Please give step-by-step.
Answers
We have eliminated the parameter from the given parametric equations:
x = cost,
y = tant,
To eliminate the parameter from the given parametric equations:
x = cost,
y = tant,
We can use the trigonometric identity:
tant = sint/cost.
Substitute the value of tant in terms of x and y using the trigonometric identity:
y = sint/x.
Rearrange the equation to solve for sint:
sint = y × x.
Substitute the value of sint back into the trigonometric identity to find the expression for cost:
[tex]cost = x / \sqrt{(1 + (y \times x)^2).}[/tex]
Therefore, by following these steps, we have eliminated the parameter from the given parametric equations:
x = cost,
y = tant,
and obtained the equations:
[tex]cost = x / \sqrt{(1 + (y \times x)^2),} \\sint = y \times x.[/tex]
for such more question on parameter
https://brainly.com/question/19132778
#SPJ8
What are the rectangular coordinates of the polar coordinates (3√5,−π/8)?
Enter your answer in the box. Enter values rounded to the nearest hundredth.
Answers
The rectangular coordinates of the polar coordinates (3√5, -π/8) are approximately (3.35, -0.77).
To convert polar coordinates (r, θ) to rectangular coordinates (x, y), we use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
In this case, the given polar coordinates are (3√5, -π/8).
Applying the formulas, we have:
x = (3√5) * cos(-π/8)
y = (3√5) * sin(-π/8)
Evaluating the trigonometric functions using a calculator or trigonometric tables, we find:
x ≈ 3.35
y ≈ -0.77
Rounding these values to the nearest hundredth, the rectangular coordinates of the polar coordinates (3√5, -π/8) are approximately (3.35, -0.77).
Please note that the angle -π/8 represents a counterclockwise rotation of π/8 radians from the positive x-axis in the Cartesian coordinate system.
To learn more about coordinates :
https://brainly.com/question/31293074
#SPJ11
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answers
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
4p + 4q = 1
7 = 3p + 2q
Find q, round answer to 1 decimal place.
Answers
Answer:
Step-by-step explanation:
4p+4q=1 -------- equation 1 -------*+3
3p+2q=7 --------equation 2 -------* +4
12p+12q=3 ------equation 3
( - )
12p +8q=28 -----equation 4
----------------------
4q = -25
q= -25/4
q = -6.25
substitute q = -6.25 into equation 1
4p + 4q = 1
4p + 4( - 6.25 ) = 1
4p - 25 = 1
4p = 25 + 1
4p = 26
p = 26/4
p = 6.5
therefore p = 6.5, q = -6.25
q to 1 deimal place = -6.3
For many years, organized crime ran a numbers game that is now run legally by many state governments. The player selects a three-digit number from 000 to 999. There are 1000 such numbers. A bet of is placed on a number, say number 115. If the number is selected, the player wins $. If any other number is selected, the player wins nothing. Find the expected value for this game and describe what this means.
Answers
The average amount the player can expect to win or lose per game over the long run. In this game, the Expected value is x/1000.
The expected value for the numbers game, we need to calculate the weighted average of the possible outcomes.
In this game, there are 1000 possible numbers that can be selected, ranging from 000 to 999. If the player selects the winning number, they win a certain amount, and if they select any other number, they win nothing.
Let's assume the amount won is $x when the winning number is selected
The probability of selecting the winning number is 1/1000 because there is only one winning number out of the 1000 possible numbers.
The probability of not selecting the winning number is 999/1000 because there are 999 other numbers that can be selected.
The expected value (EV) can be calculated using the following formula:
EV = (Amount won if winning number is selected) * (Probability of winning) + (Amount won if losing number is selected) * (Probability of losing)
In this case, the EV is:
EV = (x * 1/1000) + (0 * 999/1000)
= x/1000
The average amount the player can expect to win or lose per game over the long run. In this game, the expected value is x/1000.
To know more about Expected value.
https://brainly.com/question/24305645
#SPJ11
Ashira bought a game system for $280 on the installment plan. She will pay $55 for 6 months.
How much is Ashira's finance charge?
$75.20
$44.88
$50
Answers
Answer:
Therefore, Ashira's finance charge is $50.
Step-by-step explanation:
To calculate Ashira's finance charge, we need to find the total amount she will pay for the game system through the installment plan and subtract the original purchase price.
Total amount paid = Monthly payment * Number of months
Total amount paid = $55 * 6
Total amount paid = $330
Finance charge = Total amount paid - Purchase price
Finance charge = $330 - $280
Finance charge = $50
Therefore, Ashira's finance charge is $50.
HELP.
Solve and write the solution in interval notation
Answers
The solution in interval notation is (-∞, -8/45).
To solve the equation 12x + 77x + 22 < 1 + 6x - 8x + 5, we can simplify both sides:
12x + 77x + 22 < 1 + 6x - 8x + 5
Combining like terms:
89x + 22 < -x + 6
89x + x < 6 - 22
90x < -16
Divide both sides by 90:
x < -16/90
Simplifying the fraction:
x < -8/45
Therefore, the solution in interval notation is (-∞, -8/45).
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ1
Can someone answer this question?
Answers
The graph that best represents a quadratic function that has only one zero is Option C.
We are given that;
The four graphs of the function
Now,
A quadratic function has only one zero if its graph intersects the x-axis at only one point. This occurs when the discriminant of the quadratic equation is equal to zero:
b^2 - 4ac = 0
x = (-b ± sqrt(b^2 - 4ac)) / 2a
If the discriminant is equal to zero, then there is only one solution to the quadratic equation, which means that the graph of the quadratic function intersects the x-axis at only one point.
Therefore, by the given graphed function the answer will be Option C.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ1
Which is longer 5 meters or 400 millimeters?
a. 400 millimeters
b. 5 meters
c. both a and b are correct.
d. both a and b are incorrect
Answers
Answer:
b. 5 meters
Step-by-step explanation:
1 meter = 1000 millimeters
5 meter = 5000 millimeters
Which is longer 5 meters or 400 millimeters?
5000 > 400
So, the answer is b. 5 meters.
This conversion can be understood by the prefix “milli” in millimeter, as “milli” means 1/1000. So, millimeter means 1/1000 of a meter or 10^-3meters.
So, let’s multiply the conversion by 5 since we want to determine if 5 meters is longer than 400mm.
Conversion, where m=meter and mm=millimeter
1m=1,000mm
Since we have an equal (balanced) relationship, if we increase one quantity by 5 times, we must do the same for the other to maintain equality (balance).
1m•5=1,00mm•5
5m=5,000mm
Therefore, 5m is longer than 400mm since 5m=500mm and 500mm>400mm.
Answer: 5 meters is longer
A grocer purchased 75kg of sugar at Rs.30 per kg and mixed it with 25 kg of sugar at Rs.36 per kg. At what rate should he sell the mixture to gain 10%.
Select one:
Rs.32.20
None of these
Rs.32.85
Rs.32.45
Rs.32.60
Answers
Answer:
None of these
Step-by-step explanation:
Step 1:
75 kg x Rs.30 = 2250
25 kg x Rs.36 = 900
Total Cost Price = 2250 + 900 = Rs.3150.
Cost Price per Kg = 3150 / 100 = 31.5
Gain of 10% will be;
31.5 x 10 / 100 = 3.15
Cost Price with gain of 10% will be = 31.5+3.15 = Rs. 34.65.
Answer:
Hence, The correct option is (B), NONE OF THESE
Step-by-step explanation:
Make a plan:
In this question, we need to calculate the cost price and selling price of the mixture.Then we can get the selling price of the mixture by adding 10% profit to the cost price.Finally, we can calculate the rate of the mixture.Solve the Problem:
The cost price of 75 kg of sugar at Rs30 per kg is:
75 * 30 = 2250
The cost price of 25 kg of sugar at Rs
36 per kg is:
25 * 36 = 900
The total cost price of the mixture is:2250 + 900 = 3150
To gain 10% profit, the selling price of the mixture is:3150 * 1.1 = 3465
The total weight of the mixture is:75 + 25 = 100 kg
The rate of the mixture is:3465 / 100 = 34.65
Draw the conclusion:
The rate at which he or she should sell the mixture to gain 10% is:Rs 34.65
Hence, The correct option is (B) NONE OF THESE.
Hope this helps!
Can someone answer this question?
Answers
The second one is the answer just think of symmetry and if its symmetrical or not.
Answer:
The answer is A
Step-by-step explanation:
Odd symmetry is like the opposite of one side
If x^2+y^2=14 and xy = 5, find the value of (1/2 x+1/2 y)^2
Answers
Answer:
6
Step-by-step explanation:
The explanation is attached below.
.......................................................................................................
Answers
Answer:
1640
Step-by-step explanation:
Are of the square
a = [tex]s^{2}[/tex]
a = [tex]10^{2}[/tex]
a = 100
Area of a trapezoid
a = 1/2(a + b)h
a = 1/2(48 + 40)35
a = 1/2 (48 + 40)35
a = 1/2(88)35
a = 44(35)
a = 1540
100 + 1540 = 1640
Helping in the name of Jesus.
Answer:
The area is 1640 square meters
Step-by-step explanation:
the area of the short block(top right) is
[tex](10)(10) = 100\\[/tex]
Now, the total length of the top side is(of the bottom portion),
38 + 10 = 48
We can divide the bottom portion into a square and triangular part,
for the square part we get the area,
[tex](40)(35)=1400[/tex]
For the triangle, we first have to find the length of the base,
which we see from the figure that it will be,
48 - 40 = 8
(and height is 35)
so the area of the triangle is,
[tex](1/2)(8)(35)=140[/tex]
so the total area of the park is
[tex]140 + 1400 + 100 = 1640[/tex]
What is the standard deviation for the data set? 138,129,145,134,142,159,153,142,127
Answers
Answer:
about 9.91
Step-by-step explanation:
You want the standard deviation of the given data set:
{138, 129, 145, 134, 142, 159, 153, 142, 127}
Standard deviationThe standard deviation can be found by a suitable calculator, or by working through the formula.
mean = (∑x)/9 = 1269/9 = 141
mean square = (∑x²)/9 = 179813/9 = 19,979.2222...
σ = √((mean square) -mean²) = √98.2222...
σ ≈ 9.91
The standard deviation of this dataset is about 9.91 units.
Please help me with this question
Answers
π×2x÷2×2x÷2×v
3.14×(2x÷2)^2×v
The volume of a cylinder is base are of a circle multiplied by the height of the cylinder
Please help fast! I need answers quickly.
Answers
The 3 options that are like terms are:
3x⁴ and 2x⁴
2x² and 3x²
2x and 3x
Which ones are like terms?Two terms are like terms if the powers of the variable are the same ones, so for example, if in both sides we have x², then these are like terms.
Then the options that are like terms are:
3x⁴ and 2x⁴
2x² and 3x²
2x and 3x
These are the 3 correct options.
Learn more about like terms at:
https://brainly.com/question/30643700
#SPJ1
All of these top 3 areas that the federal goverment spends tax money on except
Answers
All of these are top 3 areas that the federal government spends tax money on EXCEPT: Option B: Education
What is the tax money?The three primary sectors where tax money is generally allocated by the federal government are Social Security, Medicaid, and the armed forces.
Nevertheless, education would be the only circumstance that deviates from the aforementioned rule. Although education is crucial for government investment, it is usually not among the primary three fields in regards to federal spending.
Learn more about tax money from
https://brainly.com/question/28015553
#SPJ1
See text below
All of these are top 3 areas that the federal government spends tax money on EXCEPT:
Social Security
Education
Medicaid
Military
Can someone answer this question?
Answers
Between 40 and 60 minutes the target heart rate strictly increasing then strictly decreasing. Therefore, option B is the correct answer.
From the given graph, in the first curve between the interval 0-10 speed is increasing, between the interval 10-30 speed is constant and between the interval 30-40 speed is decreasing.
In the second curve between the interval 40-50 speed is increasing, between the interval 50-60 speed is decreasing, between the interval 60-65 speed is increasing and between the interval 65-73 speed is constant.
In the third curve between the interval 73-85 speed is increasing, between the interval 85-92 speed is constant and between the interval 92-100 speed is decreasing.
Therefore, option B is the correct answer.
To learn more about the graph visit:
brainly.com/question/14375099.
#SPJ1
Please help I’ll mark you as brainliest if correct
Answers
Answer:
RQ / SQ
Step-by-step explanation:
We see in the figure that angles O and R are congruent, which is what the ) symbol by the two angles indicates.
We see that the first ratio starts with OQ and ends with PQ to give us OQ/PQ. Since R and O are congruent, the only ratio that would make the statement true is RQ/SQ.
b) Find the least number that must be subtracted from 2120 so that the result is a perfect square.
Answers
Answer:
4
Step-by-step explanation:
2120 - 4 = 2116
[tex]\sqrt{2116} =46[/tex]
[tex]46^{2} =2116[/tex]
Hope this helps
Marsha saves $92 during her first
month at a new job. If she increases the amount she saves by 20% each month,how much will she have saved after 3 months?
Answers
Answer:
a
Step-by-step explanation:
a
please please help!! i can’t find anything for this anywhere! :((
find x
Answers
The value of x in the triangle is x=3
In the given triangle a midline passing through the middle iof the triangle makes the triangle in to two triangles.
By midpoint segment theorem
x=1/2(x+3)
Apply distributive property
x=x/2+3/2
Take the variable terms on one side and constant on other side
x-x/2=3/2
x/2=3/2
We get the value of x as three
x=3
Hence, the value of x in the triangle is x=3
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
Lasting Company purchases a computerized manufacturing machine for $60,000 to use in operating activities for the next five years. It estimates the equipment’s salvage value at $5,000. The machine is estimated to produce 220,000 units over its useful life. In year 1 it produced 36,000 units, in year 2: 44,000 units, in year 3: 52,000 units, in year 4: 60,000 units and in year 5: 32,000 units.
Prepare a table showing depreciation expense, accumulated depreciation and book value for each year assuming units of production depreciation.
Answers
The deprecation expenditure for each time is calculated by multiplying the number of units produced in that time by the deprecation per unit($0.25).
Time Units Produced deprecation expenditure Accumulated Depreciation Book Value
1 36,000$ 9,000$ 9,000$ 51,000
2 44,000$ 11,000$ 20,000$ 40,000
3 52,000$ 13,000$ 33,000$ 27,000
4 60,000$ 15,000$ 48,000$ 12,000
5 32,000$ 8,000$ 56,000$ 4,000
To calculate deprecation expenditure using the units of product system, we need to determine the deprecation per unit produced. Then is how we can calculate it deprecation per unit = ( original cost- Salvage value)/ Total estimated units produced = ($ 60,000-$ 5,000)/ 220,000 = $ 55,000/ 220,000 = $0.25 per unit
Now we can prepare the table showing deprecation expenditure, accumulated deprecation, and book value for each time Time Units Produced deprecation expenditure Accumulated Depreciation Book Value
1 36,000$ 9,000$ 9,000$ 51,000
2 44,000$ 11,000$ 20,000$ 40,000
3 52,000$ 13,000$ 33,000$ 27,000
4 60,000$ 15,000$ 48,000$ 12,000
5 32,000$ 8,000$ 56,000$ 4,000
The deprecation expenditure for each time is calculated by multiplying the number of units produced in that time by the deprecation per unit($0.25). Accumulated deprecation is the sum of the deprecation charges from all former times. Book value is calculated by abating the accumulated deprecation from the original cost($ 60,000).
For more questions on depreciation :
https://brainly.com/question/1203926
#SPJ11
the line forming the base of a triangle has the equation by 6x-8x+3=0. the other two sides are formed by the lines 3x+2y-10=0 and x+6y-10=0. calculate the altitude of the triangle.
Answers
The altitude of the triangle is 1/6 units,
To calculate the altitude of the triangle formed by the given lines, we need to find the distance between the base of the triangle and the vertex opposite to it.
First, let's find the coordinates of the vertices of the triangle. We can start by finding the intersection points of the lines forming the sides of the triangle:
Line 1: 3x + 2y - 10 = 0
Line 2: x + 6y - 10 = 0
Solving these two equations simultaneously will give us the coordinates of the vertices.
Solving Line 1 and Line 2:
3x + 2y - 10 = 0
x + 6y - 10 = 0
Multiplying the second equation by 3, we get:
3(x + 6y - 10) = 0
3x + 18y - 30 = 0
Now we have two equations:
3x + 2y - 10 = 0
3x + 18y - 30 = 0
Subtracting the first equation from the second equation:
(3x + 18y - 30) - (3x + 2y - 10) = 0
16y - 20 = 0
16y = 20
y = 5/4
Plugging the value of y into the first equation:
3x + 2(5/4) - 10 = 0
3x + 5/2 - 10 = 0
3x - 10/2 = 0
3x - 5 = 0
3x = 5
x = 5/3
So one vertex of the triangle is at (5/3, 5/4).
Now, let's find the equation of the line forming the base of the triangle:
By simplifying the given equation: 6x - 8x + 3 = 0
-2x + 3 = 0
-2x = -3
x = 3/2
So the base line has the equation x = 3/2.
To calculate the altitude, we need to find the perpendicular distance from the vertex (5/3, 5/4) to the base line x = 3/2. The perpendicular distance is the shortest distance between the vertex and the base.
The shortest distance between a point and a line can be found using the formula:
Distance = |Ax + By + C| / sqrt(A^2 + B^2)
For the equation x = 3/2, we can rewrite it as 2x - 3 = 0, which represents the line x - (3/2) = 0.
Comparing this with the general equation Ax + By + C = 0, we have A = 2, B = 0, and C = -3.
Now, substituting the values into the formula for the perpendicular distance:
Distance = |2(5/3) + 0(5/4) - 3| / sqrt(2^2 + 0^2)
Distance = |10/3 - 3| / sqrt(4)
Distance = |10/3 - 9/3| / 2
Distance = |1/3| / 2
Distance = 1/6
Hence, the altitude of the triangle is 1/6.
For more question on triangle click on
https://brainly.com/question/28470545
#SPJ11
the equation given: f(x) = 2/x-2 +2
sketch the following:
1. y = f(x-2)
2. y = f(x-1) - 3
Answers
To sketch the given equations, we will start with the graph of the original function f(x) = 2/(x-2) + 2 and then apply the necessary transformations.
1. y = f(x-2):
To sketch y = f(x-2), we need to shift the graph of f(x) two units to the right. This can be done by replacing x in the equation f(x) with (x-2). The equation becomes y = f(x-2) = 2/((x-2)-2) + 2 = 2/(x-4) + 2.
2. y = f(x-1) - 3:
To sketch y = f(x-1) - 3, we need to shift the graph of f(x) one unit to the right and three units downward. This can be done by replacing x in the equation f(x) with (x-1) and subtracting 3 from the result. The equation becomes y = f(x-1) - 3 = 2/((x-1)-2) + 2 - 3 = 2/(x-3) - 1.
Now, let's plot these equations on a graph:
Note: The graph of the original function f(x) = 2/(x-2) + 2 should be sketched first before applying the transformations.
Kindly Heart and 5 Star this answer, thanks!Juanita has 3 rectangular cards that are 3 inches by 6 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards? what is the answer
Answers
Answer:
Step-by-step explanation:
Given
3 rectangular cards
each card is 8 inches by 9 inches
The way that she can arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter is that:
Put 3 cards together according to the length
So the smallest possible perimeter is:
8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 = 66 inches as you can see in the attached photo.
The area of the polygon is equal to the combined area of the 3 cards without overlapping or extending.
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answers
washer + dryer = 1104
dryer = x
washer = 3x
3x + x = 1104
4x= 1104
x = 276 = dryer
washer = 3x = 3(276)= 828
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. Use
the results to determine how many people use Redbox.
52 only use Netflix
42 only use Redbox
17 only use a video store
57 use only Netflix and Redbox
6 use all three
people used Redbox.
14 use only a video store and Redbox
33 use only a video store and Netflix
20 use none of these
Answers
Answer:
119 people use Redbox
Step-by-step explanation:
42+57+6+14=119
