well, we know the TV cost 200 bucks, now if we just bump it up by 45%, that'd do it.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 200}}{\left( \cfrac{45}{100} \right)200}\implies 90~\hfill \underset{retail~price}{\stackrel{200~~ + ~~90}{\text{\LARGE 290}}}[/tex]
Which of the following pricing strategies could be ethical in many situations? A.Predatory pricing
B.Price baiting
C.Price gouging
D.Price discrimination
The following pricing strategies could be ethical in many situations is price discrimination.
Predatory pricing is a strategy in which a company establishes a price that is too low to get new customers.
Price baiting is a strategy in which businesses make customers believe that they will have to pay less than the actual price of the product.
Price gouging is when a company puts a price that is too high for a product in a level that is not reasonable and this is considered to be unethical.
Price discrimination is a strategy in which businesses charge different prices to different customers based on what they believe that a group of customers would be willing to pay.
For example, when an airline sees that a specific route has a high demand, it increases the price of the ticket.
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Answer:
D. Price discrimination
4 is multiplied by the difference of 5 and a number.
Answer:
The difference is multiplied by 4 can be represented as 4 (x - 1/2) According to the question, 4 (x - 1/2) = 5 x - 1/2 = 5/4 x = 5/4 + 1/2 x = (5 + 2)/4 x = 7/4 Therefore, the number is 7/4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Im assuming the question is to write this into actual numbers,
answer: 4(5-x)
Please help!!
What is 9 x (46+70) 5 - 32 (40 - 219) =
9 x (46+70) 5 - 32 (40 - 219) = 11428
Using the BODMAS rule, we solve the brackets first,
9 x (46+70) 5 - 32 (40 - 219)
= 9 x 116 x 5 - 32 x -179
Next, we solve the multiplication signs
9 x 116 x 5 - 32 x -179
= 5520 - ( -5728)
Solving the subtraction sign, we get
5520 - ( -5728)
= 11428
Hence, the answer is 11428
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jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable. let a
According to the given charges, the mean of the sum would be as follows $1,692.5 and the difference of the amount of money earned by Jennie and Paul would be $-232.5
Mean:
In statistics, mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers
Given,
As Jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while Paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable.
Here we need to find the mean and the difference of the amount of money earned by Jennie and Paul.
Let us consider x be the amount earned by Jennie and y be the amount earned by Paul.
While we looking into the given question , we have identified the value of the following,
=> Money earned by Jennie(A) = 200x
=> Money earned by Paul(B) = 250 X
Here the value of μ = $730 and σ = $ 192.62 for Jennie
And the value of Paul is μ = $962.5 and σ = $253.425
Then the mean of the sum is calculated as,
=> 730 + 962.5 = 1292.5
Similarly, the difference of the amount of money is calculated as,
=> -232.5
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Answer:
D) On average, Jennie makes $232.50 less than Paul in a typical cruise.
Step-by-step explantion
Find the equation of the line through (−2,−5) which is perpendicular to the line y=x3+7.
The equation of the line perpendicular to the line y = 3x+7 is 3y = -x-17
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to line y = 3x+7 and passing through points (-2,-5)
The slope of perpendicular lines is negative reciprocal of each other.
Therefore, the slope of the asked line is -1/3
Finding c,
-5 = -1/3x(-2)+c
c = -17/3
Therefore, the equation of the line is y = -1/3x-17/3 or 3y = -x-17
Hence, The equation of the line perpendicular to the line y = 3x+7 is
3y = -x-17
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suppose gabriel and nia are playing a game that requires both to simultaneously choose an action: up or down. the payoff matrix that follows shows the earnings of each person as a function of both of their choices. for example, the upper-right cell shows that if gabriel chooses up and nia chooses down, gabriel will receive a payoff of 6 and nia will receive a payoff of 4. nia up down gabriel up 6, 3 6, 4 down 3, 3 7, 4
In this game, the only dominant strategy is for........ to choose.......
The outcome refiecting the unique Nash equilibrium in this game is as follows: Gabriel chooses.............. and Nia chooses..............
The payoff matrix that Gabriel and Nia use demonstrates the zero-sum between two players by showing each person's earnings as a function of both of their choices.
The reward matrix or payoff matrix is a double-entry table, similar to another Table, that holds all of the payments made by one player to the other for each selected strategy. Since one player's payment equals the other player's gain, the game is referred to as zero-sum.
The example case scenario can be used to demonstrate the calculation in the payout matrix above;
If the row player has n strategies and the column player has m strategies, the matrix must have n & m cells and contain a total of 2 n m reward values. The row player's name appears in a payment matrix to the left of the matrix, while the column player's name appears above the matrix. Since one player's payment equals the other player's gain, the game of payout matrix is referred to as zero-sum.
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Which of these quantities is a vector?
A. Time
B. Momentum
C. Distance
D. Speed
On solving the provided question, by the given information we can say that Momentum is a vector quantity.
What is vector quantity?A physical quantity that only has magnitude is known as a scalar quantity. such as distance, speed, mass, density, etc. However, vector quantities—which include displacement, velocity, acceleration, force, and mass—are physical quantities that have both magnitude and direction.
Momentum is a vector quantity.
It is directed and has a magnitude. According to Isaac Newton's second law of motion, the force pushing a particle has an equal and opposite effect on the time rate at which its momentum changes. Consider Newton's laws of motion.
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A 32-foot ladder leans against the building. Find the ground distance from the foot of the ladder to the building, if the angle of elevation is 45 °.
Answer:
Below
Step-by-step explanation:
This is a right triangle
the two legs are equal and the hypotenuse is 32 ft
Here is a way to calculate the answer with Pythagorean theorem
32 ^2 = L^2 + L^2
512 = L^2
L = sqrt (512) = 22.6 ft
If other factors are held constant, which of the following sets of data would produce the largest value for an independent-measures t statistic? The two samples both have n 15, with sample variances of 20 and 25. The two samples both have n 15, with variances of 120 and 125. The two samples both have n 30, with sample variances of 20 and 25. The two samples both have n 30. with variances of 120 and 125 Save Question 15 (1 point) For the repeated measures t statistic. df n1 + n2 2 n1 -1)+ (n2 1) Save Question 16 (1 point
If other factors are held constant, sets of data that would produce the largest value for an independent-measures t statistic is the two samples both have n =30, with sample variances of 20 and 25
In a T test, the T statistic is used to help you decide whether to accept or reject the null hypothesis.
You utilize it in a manner that is quite similar to using a Z-score. When you don't know the population standard deviation or have a limited sample size, you use the t statistic.
You employ the T statistic with a p value while performing a hypothesis test. Your results' likelihood of being the result of chance is indicated by the p-value. Typically, in statistics, you use a T Test with a T Statistic rather than a Z score because you don't know much about the population.
To have larger t value , Combined standard deviation should be less
Therefore, n should be large and standard deviation should be less
Hence , The two samples both have n=30, with sample variances of 20 and 25 will provide us larger t-statistics
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Which are ways of showing probability select 4?; Can 5 by 4 Be the probability of an event justify your answer?; Can 3 by 5 be the probability of an event?
5/4 cannot be the probability of an event as its value is greater than 1 and probability always lies between 0 and 1. Yes, 3 by 5 can be the probability of an event.
We know that the probability of an event is the chance of occurring of an event. The ways of showing probability could be in ratio or it could be in percentage and the percent may be between 0%-100%
The value of 5/4 = 1.25 which is greater than 1, so it cannot be the probaility of any event.
The value of 3/4 = 0.75, its value is less than 1, so it can be the probability of an event.
The probability of an event always lie between 0 and 1. It is equal to zero if the event will never occur and is equal to 1 if the event is certain to occur.
Therefore, the probability of an event cannot be 5/4 but 3 by 5 can be the probability of an event. as its value of 5/4 is greater than 1 whereas the value of 3/5 is less than 1 and probalilty always lies between 0 and 1.
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which of the following numbers does not have 8 as a factor? A. 25424, B. 15000, C. 36502, D. 10008
By dividing, we find The number that does not have 8 as a factor is C. 36502.
what is factor?A factor of a number is a positive integer that divides evenly into the number. For example, the factors of 6 are 1, 2, 3, and 6.
what is division?Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient, which is the result of the division.
to check whether 8 is a factor of 25424, you can divide 25424 by 8:
25424 / 8 = 3178
Since the result is an integer, 8 is a factor of 25424.
To check whether 8 is a factor of 15000, you can divide 15000 by 8:
15000 / 8 = 1875
Since the result is an integer, 8 is a factor of 15000.
To check whether 8 is a factor of 36502, you can divide 36502 by 8:
36502 / 8 = 4562.75
Since the result is not an integer, 8 is not a factor of 36502.
To check whether 8 is a factor of 10008, you can divide 10008 by 8:
10008 / 8 = 1251
Since the result is an integer, 8 is a factor of 10008.
Therefore, the number that does not have 8 as a factor is C. 36502.
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Find the measure of all three angles of the triangle with vertices at the pointsP(1,2,3); Q(3,4,2); and R(4,0,2).
The inverse cosine function to find the measures of the = arccos(-sqrt)
What is measure of angles?
Angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex.
To find the measures of the angles of a triangle, you can use the Law of Cosines, which states that the square of the length of a side of a triangle is equal to the sum of the squares of the lengths of the other two sides minus twice the product of the lengths of the other two sides and the cosine of the angle opposite the side in question.
In this case, we are given the coordinates of the vertices of the triangle and we want to find the measures of the angles. To do this, we can use the distance formula to find the lengths of the sides of the triangle and then use the Law of Cosines to find the cosines of the angles.
The distance formula is:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
where d is the distance between the two points with coordinates (x1, y1, z1) and (x2, y2, z2).
Using this formula, we can find the lengths of the sides of the triangle as follows:
PR = sqrt((4 - 1)^2 + (0 - 2)^2 + (2 - 3)^2) = sqrt(9 + 4 + 1) = sqrt(14)
PQ = sqrt((3 - 1)^2 + (4 - 2)^2 + (2 - 3)^2) = sqrt(4 + 4 + 1) = sqrt(9)
QR = sqrt((4 - 3)^2 + (0 - 4)^2 + (2 - 2)^2) = sqrt(1 + 16 + 0) = sqrt(17)
Now we can use the Law of Cosines to find the cosines of the angles:
cos A = (PR^2 + PQ^2 - QR^2) / (2 * PR * PQ)
= (14 + 9 - 17) / (2 * sqrt(14) * sqrt(9))
= (-4) / (2 * sqrt(14) * sqrt(9))
= -2 / (sqrt(14) * sqrt(9))
cos B = (QR^2 + PQ^2 - PR^2) / (2 * QR * PQ)
= (17 + 9 - 14) / (2 * sqrt(17) * sqrt(9))
= (2) / (2 * sqrt(17) * sqrt(9))
= 1 / (sqrt(17) * sqrt(9))
cos C = (QR^2 + PR^2 - PQ^2) / (2 * QR * PR)
= (17 + 14 - 9) / (2 * sqrt(17) * sqrt(14))
= (12) / (2 * sqrt(17) * sqrt(14))
= 6 / (sqrt(17) * sqrt(14))
Finally, we can use the inverse cosine function to find the measures of the angles:
A = arccos(-2 / (sqrt(14) * sqrt(9)))
= arccos(-2 / (2 * sqrt(7) * sqrt(3)))
= arccos(-1 / sqrt(7) * sqrt(3))
= arccos(-sqrt)
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Writing equations of lines
Write the equation of each line with the given information
through: (-5, -3), perp. to y = -5/7x -5
Answer:
y = [tex]\frac{7}{5}[/tex] x + 4
Step-by-step explanation:
Perpendicular slopes are opposite reciprocals.
So the slope is 7/5
Us the slope and the point to find the y intercept
m = 7/5
x = -5
y = -3
y= mx + b
-3 = (7/5)(-5) + b
-3 = -7 + b Add 7 to both sides
4 = b
y = mx + b
y = 7/5 x + 4
what is 7.04 as a mixed number
Answer:
you answer is 7 1/25
Step-by-step explanation:
0.04 ---> 1/25
7 ---> 7
7 + 1/25 = 7 1/25
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+6y= -18
Answer: [tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
[tex]3x+6y=-18[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]6y=-3x-18[/tex]
[tex]\frac{6y}{6} =\frac{-3x}{6} -\frac{18}{6}[/tex]
[tex]y=-\frac{1}{2 } x-3[/tex]
Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1
Both the inequalities (- 3 > 1 - 3 = 3) and (1 < 3 - 3 < 1) are false.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have the following integers -
- 3, 1 and 3.
The given inequality are -
- 3 > 1 - 3 = 3
1 < 3 - 3 < 1
- 3 > 1 - 3 = 3
- 3 > - 2 = 3
Which is false.
1 < 3 - 3 < 1
1 < 0 < 1
Which is false.
Therefore, both the inequalities (- 3 > 1 - 3 = 3) and (1 < 3 - 3 < 1) are false.
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4. Find the average value of the given function on the given interval. Then find all points c whose existence is guaranteed by the Mean Value Theorem for Integrals. (a) f(x) = x2 – 8x + 10 on (2, 5] (b) f(x) = Vx on [1, 16]
The average value of the given function on the given interval is = 7/2 and 6.25 respectively
What is Average?
The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
(a) f(x) = x2 – 8x + 10
f = 1/b-a [tex]\int\limits^b_a {f(n)} \, dx[/tex]
f = 1/5-2 [tex]\int\limits^5_2 {x^{2} -8x+10} \, dx[/tex]
Here, a=2
b=5
f(x) =x2 – 8x + 10
f = 1/3 (x³/3 - 8x²/2+10x)5/2
f = -25/9 -20/9
f = -45/9
= -5
Mean Value Theorem
If f(x) = continous on (a, b)
If f(x) = differentiable on (a, b)
Then f(c) = f(b) -f(a)/b-a
were c∈ (a,b)
Here, f(c) = f(-5)-f(2)/5-2
f(c) = -5+2/3
f(c) = -1 ......................(1)
Here, f(x) = x²-8x+10
f(c) = c²-8c+10
f(x) = 2c-8...................(2)
equating 1&2
2c -8 = -1
2c = -1 +8
c = 7/2
c∈ (2,5)
(b) f(x) = Vx on [1, 16]
f = [tex]\sqrt{x}[/tex] on (1 ,16)
f= 1/b-a [tex]\int\limits^b_a {f(n)} \, dx[/tex]
f = 1/16-1 [tex]\int\limits^6_1 {\sqrt{x} } \, dx[/tex]
f = ( 2x (3/2)/45)₁¹⁶
f = 128/45-2/45
f = 126/45
= 14/5
Mean Value Theorem
f(x) = [tex]\sqrt{x}[/tex]
f(c) =[tex]\sqrt{c}[/tex]
f(c) = 1/2[tex]\sqrt{c}[/tex]....................(1)
we know that
f(c) = f(b)-f(a)/b-a
f(c) = f(16)-f(1)/16-1
f(c) = [tex]\sqrt{16}[/tex] -[tex]\sqrt{1}[/tex]/15
f(c) = 4-1/15
= 3/15.....................(2)
Equating (1) and (2)
1/2[tex]\sqrt{c}[/tex] = 3/15
2[tex]\sqrt{c}[/tex] = 15/3
2[tex]\sqrt{c}[/tex] = 5
[tex]\sqrt{c}[/tex] = 5/2
c = (5/2)²
=25/4
c≅ 6.25
6.25 = (1 ,16)
The average value of the given function on the given interval is = 7/2 and 6.25 respectively
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1. At a clothing store, a pair of jeans costs $75. Using a coupon, Terese buys the jeans for $18.75 less than the original price. Complete the table.
Dollar Amount
Percentage
% off the original amount.
3.
The coupon gives Terese
How much did Terese pay for the jeans (before tax)?
it is:
4. In a bag of candy, 25% are yellow. There are 60 candies in the bag. How man' yellow candies are there?
5. For one math test, Blair had to answer 35 questions. Of those 35 questions, h answered 27 correctly. What percent did Blair get on his math test? Round to nearest percent.
6. Jeffrey has 60% as much money as Louis. Louis has $110. Select all true
statements.
• Jeffrey has $66.
• Jeffrey has $44.
• Jeffrey has - as much as Louis.
• Jeffrey has as much as Louis.
• Jeffrey has $48.
• Louis has as much as Jeffrey
• Louis has
as much as Jeffrey
1. Completing the percentage table about the payment for a pair of jeans bought by Terese at a clothing store is as follows:
Dollar Amount Percentage
% off the
original amount
$75 25%
2. The coupon gives Terese 25% off the original amount.
3. The amount Terese paid for the jeans (before tax) was $56.25.
4. The number of yellow candies in the bag is 15.
5. In the Math test, Blair, who answered 27 questions correctly out of 35, scored 77 percent.
6. The true statement about the amount of money Jeffrey has concerning Louis is A. Jeffry has $66.
a) Clothing Store:Cost of a pair of jeans = $75
Coupon value = $18.75
Amount paid = $56.25
The coupon percentage = 25% ($18.75/$75 x 100)
b) Bag of Candy:Yellow candy = 25%
The total number of candies in the bag = 60
The number of yellow candy = 15 (60 x 25%)
c) Math Test:The total number of questions = 35
The number of questions answered correctly = 27
Percent scored by Blair = 77% (27/35 x 100)
d) Jeffrey and Louis:The amount of money Louis has = $110
The percentage of Louis' money that Jeffry has = 60%
The amount Jeffry has = $66 ($110 x 60%)
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Which ordered pair is a solution to the system of linear equations 2x 3y equals 6?; What does 0 0 indicate about the solutions of the system Brainly?; What does 0 0 mean regarding the solution to the system?
The ordered pair which is a solution to the system of linear equations (0,2).
In mathematics, a system of linear equations refers to a collection of one or more linear equations which involve the same variables. In order to solve the system of linear equations, multiply each equation by a constant such as the coefficient of one variable becomes the same.
Hence, multiply 2x + 3y= 6 by 3 and –3x + 5y = 10 by 2.
3 (2x + 3y= 6)
6x + 9y = 18
2(–3x + 5y = 10)
-6x + 10 y = 20
Adding the two equations
6x + 9y = 18
-6x + 10 y = 20
19y = 38
y = 2
Substitute y in either of the equations:
2x + 3(2)= 6
2x = 6 – 6 = 0
x = 0
Hence, the solution is (0, 2)
The ordered pair (0,0) is not a solution as it will invalid the given linear equation.
Note: The question is incomplete. The complete question probably is Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 and –3x + 5y = 10. (0,2) (2,0) (3,2) (2,3)
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The amount of goods and services that costs $200 on January 1, 1997 costs $230.16 on January 1, 2006. Estimate the cost of the same goods and services on January 1, 2013. Assume the cost is growing exponentially. Round your answer to the nearest cent. Table
As per the exponential growth function, the cost of the same goods and services in January 1, 2013 is $291.54
Exponential growth function:
In statistics, exponential growth function mean a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.
Given,
The amount of goods and services that costs $200 on January 1, 1997 costs $230.16 on January 1, 2006.
Here we need to estimate the cost of the same goods and services on January 1, 2013 and also assume the cost is growing exponentially. Round your answer to the nearest cent.
Here we know that the value of
Cost on 1997 = $200
Cost on 2006 = $230.16
So, the time difference is
=> 2006 - 1997 = 6
And the amount difference is
=> $30.16
So, based on the exponential growth function, the cost of goods and services at the time of 2013 is
=> 200 + ( 1 + 30.16)⁶
=> 200 + 91.54
=> 291.54
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given the plot of normal distributions a and b below, which of the following statements is true? select all correct answers.Select all correct answers Select all that apply: A has the larger mean. B has the larger mean The means of A and B are equal A has the larger standard deviation. B has the larger standard deviation. The standard deviations of A and B are equal.
Correct option is C
The plot of normal distributions A and B
A has the larger standard deviation
Standard Deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
The name standard deviation for SD came from Karl Pearson. I would guess no more than that he wanted to recommend it as a standard measure. If anything, I guess that references to standardization either are independent or themselves allude to SD.
Mean
In statistics, the mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.
Normal Distribution
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a bell curve.
The plot of normal distributions A and B
A has the larger standard deviation
Correct option is C
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a 60-hz induction motor is needed to drive a load at approximately 895rpm. part a determine the maximum number of poles required to drive the load at 895 rpm . express your answer as an integer. p
The maximum number of poles required to drive the load is 8.
full load speed = 120*f/p
850 = 120*60/p
p = 120*60/850
p = 8.47
since no. of poles are even so
p = 8
if number pole p = 8
synchronous speed Ns = 120*f/p = 120*60/8 = 900RPM
SLIP = (Ns - N)/Ns
s = (900-850)/900
s = 0.056
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An urn contains 19 red marbles, 19 blue marbles, and 42 yellow marbles. One marble is to be chosen from the urn without looking. What is the probability of choosing a red or a blue marble? Your answer should be rounded to 4 decimal places.
The probability of choosing a red or a blue marble is 0.475.
What is probability?
Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.
Main body:
number of red marbles =19
number of blue marbles = 19
number of yellow marbles = 42
total number of balls = 19+19+42
=80
probability of choosing a red or a blue marble = 19+19
P(red or blue ) = 38/80
= 0.475
hence the probability of choosing a red or a blue marble is 0.475.
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>) Solve:
1) 7 millions
thousands
hundred
Answer:
70
Step-by-step explanation:
1 million = 10 hundred thousands because 100,000 x 10 = 1,000,000
The graph of the function f(x) = (x + 2)(x + 6) is shown below.
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.
the interval, the function returns zero (-6,-2) –6 < x < –2
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
The given f(x) = (x + 2)(x + 6)
In this function, a quadratic equation is represented (vertical parabola open upward)
The vertex stands for a minimum.
the use of a graphing tool
view the attached image
x=-6 and x=-2 are the x-intercepts.
Point: the y-intercept
The point is called the vertex.
The range ——-> is the domain. (-∞,∞) (All real numbers) (All real numbers)
The range is in the range [-4,].
x -6 or x > -2 make the function positive.
For the interval, the function returns zero (-6,-2) –6 < x < –2
Hence, the interval, the function returns zero (-6,-2) –6 < x < –2
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Which equation represents a line that passes through two negative 1/2 and has a slope of 3?; Which equation represents a line that has a slope of 1/3 and passes through point 2 1?; Which equation represents a line that passes through (- 9 3 and has a slope of?; Which equation represents a line that passes through 5 1 and has a slope of StartFraction one half EndFraction?
The equation of the line is y+1/2=3(x-2) when a line with a slope of 3 and passes through the points (2, -1/2).
Given that,
We have to find what is the equation describes a line with a slope of 3 and passes through the points (2, -1/2).
We know that,
The equation of the line is represented by (y-y₁)=m(x-x₁)
Here,
Point (2,-1/2)
Slope is 3.
Substitute in the equation,
(y-(-1/2)=3(x-2)
(y+1/2)=3(x-2)
Therefore, The equation of the line is y+1/2=3(x-2) when a line with a slope of 3 and passes through the points (2, -1/2).
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A restaurant offers delivery for their pizzas the total cost is a delivery fee added to the price of the pizzas one costumer pays 25 to have 2 pizzas delivered another customer pays 58 to 5 pizzas how many pizzas are delivered to a customer who pays 80 explain or show your reasoning
The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of pizzas be x₁ = 2
Let the cost of 2 pizzas be y₁ = $ 25
So , the first point A ( x₁ , y₁ ) = A ( 2 , 25 )
Now ,
Let the number of pizzas be x₂ = 5
Let the cost of 5 pizzas be y₂ = $ 58
So , the second point B ( x₂ , y₂ ) = B ( 5 , 58 )
Therefore , the slope of the 2 points is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 58 - 25 ) / ( 5 - 2 )
Slope m = 33 / 3
Slope m = 11
Therefore , the equation of the line is given by
y - y₁ = m ( x - x₁ )
Substitute the value of m in the equation , we get
y - 25 = 11 ( x - 2 )
y - 25 = 11x - 22
Adding 25 on both sides of the equation , we get
y = 11x + 3
So , the equation of line is y = 11x + 3
Now , the customer pays $ 80 , so to find the number of pizzas the customer gets can be calculated by substituting the value of y = 80
And ,
y = 11x + 3
80 = 11x + 3
Subtracting 3 on both sides of the equation , we get
11x = 77
Divide by 11 on both sides of the equation , we get
x = 7 pizzas
Therefore , the number of pizzas is 7 pizzas
Hence ,
The number of pizzas delivered to a customer who pays $ 80 is 7 pizzas
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which of the following statements regarding the expansion of xyn are correct? A. The coefficients of xn and y^n both equal 1.
B. For any term x^ay^b in the expansion, a + b = n.
C. For any term x^ay^b in the expansion, a - b = n.
D. The coefficients of x^ay^b and x^by^a are equal.
Although part of your question is missing, you might be referring to this full question: Which of the following statements regarding the expansion of (x + y)^n are correct?
By expanding the exponential expressions, the answers are option A, B, and D.
The exponential expressions: (x + y)^n
Which means that we multiply the polynomial (x + y) by itself n times.
How do we analyze each statement?Option A.
This statement is true, because there is only one x in the original polynomial, and we multiply it by itself n times, then we can have only one term equal to x^n (or y^n).
Option B.
This statement is true, because if we multiplicate the variables by themselves n times, then the degree of the term also has to be n. Since for a term: (x^a)*(y^b) the degree is a + b; then it always be a + b = n.
Option C.
This statement is false, because of the same reasons in Option B.
Option D.
This statement is true, because in the original polynomial the coefficients of y and x are the same, then in the expansion the coefficients of the reflected terms like (x^a)*(y^b) and (x^b)*(y^a) are equal.
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Independent random samples, each containing 80 observations, were selected from two populations. The samples from populations 1 and 2 produced 33 and 28 successes, respectively.
Test H0:(p1−p2) = 0 against Ha:(p1−p2) ≠ 0. Use α = 0.05
The test statistic should be: _______
The P-value is _______
From two populations, independent random samples were drawn, each having 80 observations. The test statistic should be z = 2.18 because samples from populations 1 and 2 yielded 33 and 28 successes, respectively.
P-value is set at 0.030.
State the null and alternate hypotheses in step one.
H0: (p1-p2) = 0
Ha: (p1-p2) ≠ 0
Step 2: Calculate the test statistic
We can calculate the test statistic using the formula:
z = (p1-p2)/√(p(1−p)(1/n1+1/n2))
where,
p = (successes in sample 1 + successes in sample 2)/(n1+n2)
= (33 + 28)/(80 + 80)
= 61/160
= 0.30
n1 = sample size of population 1
= 80
n2 = sample size of population 2
= 80
Therefore,
z = (p1-p2)/√(p(1−p)(1/n1+1/n2))
= (33/80 - 28/80)/√(0.38125(1−0.38125)(1/80+1/80))
=2.18
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I need this please help me
Answer:
isnt it 72
Step-by-step explanation:
since it is that kind of triangle