The winner of the election got 26320 votes.
Let's first find the total number of votes cast in the election. We know that 2/3 fraction of the electors voted for the first candidate and 1/4 of the electors voted for the second candidate. Therefore, the remaining 1/12 of the electors voted for the third candidate. So, we have:
2/3 + 1/4 + 1/12 = 8/12 + 3/12 + 1/12 = 12/12 = 1
This means that all the electors voted, and the total number of votes cast is equal to the total number of electors.
Now, let's find the number of votes the third candidate got, which is 1/12 of the total number of votes. We know that this is equal to 3290. So, we have
1/12 x Total Number of Votes = 3290
Multiplying both sides by 12, we get:
Total Number of Votes = 3290 x 12 = 39480
Now, we can find the number of votes the first candidate got, which is 2/3 of the total number of votes. We have:
2/3 x Total Number of Votes = 2/3 x 39480 = 26320 votes
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1. a certain tennis racquet at bob’s tennis racquet emporium costs $180.00 with a sales tax of 7%. what is the total cost of the racquet?2. tennis pro, a store across the street, offers a before-tax price of 10% less than bob’s store for a similar racquet. what will the price tag be on the similar racquet at tennis pro?
Total cost of racquet at Bob's Tennis Racquet Emporium is $192.60 with a 7% sales tax on the original price of $180.00. The price tag on a similar racquet at Tennis Pro, which offers a 10% discount, is $162.00 before tax.
To calculate the total cost of the tennis racquet at Bob's Tennis Racquet Emporium, we need to add the sales tax to the original price.
Sales tax = 7% of $180.00 = 0.07 x $180.00 = $12.60
Total cost = $180.00 + $12.60 = $192.60
Therefore, the total cost of the tennis racquet at Bob's Tennis Racquet Emporium is $192.60.
If Tennis Pro offers a before-tax price that is 10% less than Bob's store for a similar racquet, we can calculate the price tag as follows:
Price at Bob's store = $180.00
Discounted price at Tennis Pro = 10% less than $180.00 = 0.10 x $180.00 = $18.00 discount
Price at Tennis Pro = $180.00 - $18.00 = $162.00
Therefore, the price tag on the similar racquet at Tennis Pro is $162.00 before tax. The sales tax amount will depend on the applicable tax rate in the area where the store is located.
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Rewrite each equation without absolute value for the given conditions.
(Please help)ASAP
1. y = |x − 3| + |x +2| − |x − 5| if x >5
2. y = |x − 3| + |x +2| − |x − 5| if x < −2
3. y = |x − 3| + |x +2| − |x − 5| if 3
The equations without absolute value for the given conditions are: 1. y = -3x + 6 if x > 5; 2. y = -x - 6 if x < -2; 3. y = x - 6 if 3 ≤ x ≤ 5, and y = -x - 6 if x < 3.
1. When x > 5, the expression (x - 3) is positive, (x + 2) is positive, and (x - 5) is positive. Thus, to get absolute value we can rewrite the equation as:
y = (x - 3) + (x + 2) - (x - 5)
Simplifying this, we get:
y = 2x - 4
2. When x < -2, the expression (x - 3) is negative, (x + 2) is negative, and (x - 5) is negative. Thus, we can rewrite the equation as:
y = -(x - 3) - (x + 2) + (x - 5)
Simplifying this, we get:
y = -2x + 6
3. When -2 ≤ x ≤ 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is negative. Thus, we can rewrite the equation as:
y = -(x - 3) + (x + 2) - (x - 5)
Simplifying this, we get:
y = 10 - x
When x > 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is positive. Thus, we can rewrite the equation as:
y = -(x - 3) + (x + 2) + (x - 5)
Simplifying this, we get:
y = -2x + 6
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The speed of the ISS is 27,576 kilometres per hour.
The station travels 42,600 in 1 orbit
Work out the number of full orbits the station does in 1 day.
Answer:
15 Full orbits per day
Step-by-step explanation:
To work out the number of full orbits the ISS does in 1 day, we need to know how long it takes for the ISS to complete one orbit around the Earth.
We can use the information given to us to calculate the time it takes for the ISS to complete one orbit:
Distance traveled in one orbit = 42,600 kilometers
Speed of the ISS = 27,576 kilometers per hour
To calculate the time taken for one orbit:
Time taken = Distance traveled / Speed
Time taken = 42,600 kilometers / 27,576 kilometers per hour
Time taken = 1.54 hours (rounded to 2 decimal places)
So, the ISS takes approximately 1.54 hours to complete one orbit around the Earth.
Now, we can calculate the number of orbits the ISS does in one day:
Number of orbits per day = 24 hours / Time taken for one orbit
Number of orbits per day = 24 hours / 1.54 hours
Number of orbits per day = 15.58 (rounded to 2 decimal places)
Therefore, the ISS completes approximately 15 full orbits around the Earth in one day.
How do I work this out?
a.) The mode for the chart is 24.
b.) The probability that the winning score will be 25 = 7/50
C.)The probability that the winning score will be 23 or more = 37/50.
How to calculate the probability of the selected outcomes?The number of times the game is played = 50 times
The number of games that showed the score of 25= 7
The probability of winning a score of 25 = 7/50
The scores that are 23 and above; 10+14+7+4+2= 37
The probability of winning a score of 23 and above = 37/50
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A factory produces components of which 1% are defective. The components are
packed in boxes of 10. A box is selected at random
the probability that there are at most 2 defective components in the box is approximately 0.9044 and the probability of having at most 3 defective components out of 250 boxes is very close to zero.
a) Let X be the number of defective components in a box of 10 components. Then X follows a binomial distribution with n=10 and p=0.01, since the probability of a component being defective is 0.01. We want to find the probability that there are at most 2 defective components in the box, i.e., P(X ≤ 2).
Using the binomial probability formula, we get:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
= (10 choose 0) × 0.01⁰ × 0.99¹⁰ + (10 choose 1) × 0.01¹ × 0.99⁹ + (10 choose 2) × 0.01² × 0.99⁸
= 0.90438222
Therefore, the probability that there are at most 2 defective components in the box is approximately 0.9044 (rounded to four decimal places).
b) We want to find the probability of having at most 3 defective components out of 250 boxes, each containing 10 components. Since np = 100.01 = 0.1 < 5 and n × (1-p)=10 × 0.99=9.9 > 5, we can use the normal approximation to the binomial distribution, with mean μ = np = 2.5 and standard deviation σ = √np(1-p) = 1.577.
Let X be the number of boxes with at most 3 defective components. Then X follows an approximate normal distribution with mean μ' = np=2.5250 = 625 and standard deviation σ' = √np(1-p)) = 12.5 × 1.577 = 19.712.
We want to find P(X ≤ 250), which can be written as P(X < 251) since X is a discrete variable. Using the continuity correction, we can approximate this probability as P(X < 251.5). Then we standardize the variable:
z = (251.5 - μ')/σ' = (251.5 - 625)/19.712 = -18.919
Using a standard normal table or calculator, we find that P(Z < -18.919) is a very small number, practically zero. Therefore, the probability of having at most 3 defective components out of 250 boxes is very close to zero.
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Complete Question
factory produces components of which 1% are defective. The components are packed in boxes of 10. A box is selected by random a) Find the probability that there are at most 2 defective components in the box b) Use a suitable approximation to find the probability of having at most 3 defective (inclusive 3 cases) components out of 250.
36. Using the definition in Problem 35, prove that if r1, r2, and r3 are distinct real numbers, then the func- tions e"ıt, eľzt, and eľzt are linearly independent on (-00,00). [Hint: Assume to the contrary that, say, erit: Cje"?! + cze'3' for all t. Divide by e"? to get cze("3=ra) and then differentiate to deduce that eri-ra)t and e("3=r) are linearly depen- (t dent, which is a contradiction. (Why?)] = eri-rot C1 + cze(73–rə) a
To prove that the functions e^(r1*t), e^(r2*t), and e^(r3*t) are linearly independent on (-∞,∞) for distinct real numbers r1, r2, and r3, we will follow the hint provided:
1. Assume to the contrary that e^(r1*t) = C1*e^(r2*t) + C2*e^(r3*t) for all t, where C1 and C2 are constants.
2. Divide both sides of the equation by e^(r1*t) to obtain: 1 = C1*e^((r2-r1)*t) + C2*e^((r3-r1)*t).
3. Differentiate both sides of the equation with respect to t:
0 = C1*(r2-r1)*e^((r2-r1)*t) + C2*(r3-r1)*e^((r3-r1)*t).
4. Now, observe that e^((r2-r1)*t) and e^((r3-r1)*t) are linearly dependent, which is a contradiction, since we know that r1, r2, and r3 are distinct real numbers, and the exponential functions with distinct exponents are linearly independent.Thus, the functions e^(r1*t), e^(r2*t), and e^(r3*t) are linearly independent on (-∞,∞) for distinct real numbers r1, r2, and r3.
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A person runs in a straight line across a field. The velocity of the person, v(t) is a differentiable function and selected values of v(t) are given above on the interval 0
Therefore, the average velocity of the person over the interval 0 ≤ t ≤ 12 can be calculated as follows:Average Velocity = Total distance travelled / Total time taken= 6.6 / 12= 0.55 m/s.
In the given question, we need to find the average velocity of a person running in a straight line across a field, given differentiable function v(t) on the interval [0,12]. Therefore, to calculate the average velocity of a person, we use the following formula:Average Velocity = Total distance travelled / Total time takenWe have a graph with the velocity of the person, which is a differentiable function v(t) given above on the interval 0 ≤ t ≤ 12.
We need to find the distance travelled by the person. Therefore, we use the following formula:Distance travelled = ∫v(t)dt From the given graph, the velocity of the person is zero when t = 0 and when t = 5. Similarly, the velocity of the person is 0 when t = 10 and when t = 12.So, we have to calculate the distance travelled from 0 to 5, from 5 to 10, and from 10 to 12 to determine the total distance travelled by the person over the given interval .Distance travelled from 0 to 5 can be calculated as follows :
Distance travelled from 0 to 5 = ∫v(t)dt from [tex]0 to 5= 5 x 0.6 = 3[/tex]Distance travelled from 5 to 10 can be calculated as follows :Distance travelled from 5 to 10 = [tex]∫v(t)dt[/tex] from [tex]5 to 10= 5 x 0.4 = 2[/tex]
Distance travelled from 10 to 12 can be calculated as follows: Distance travelled from 10 to 12 = ∫v(t)dt from 10 to 12= 2 x 0.8 = 1.6Total distance travelled = Distance travelled from 0 to 5 + Distance travelled from 5 to 10 + Distance travelled from 10 to [tex]12= 3 + 2 + 1.6= 6.6[/tex]
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jason flips a coin three times. what is the probability that the coin will land on the same side in all three tosses?
The probability that the coin will land on the same side in all three tosses is 1/8.
There are two possible outcomes for each coin flip: heads or tails. Therefore, there are 2 × 2 × 2 = 8 possible outcomes for flipping a coin three times in a row.To find the probability that the coin will land on the same side in all three tosses, we need to count the number of outcomes that satisfy this condition.
There are only two such outcomes: either all three tosses are heads or all three tosses are tails. Therefore, the probability of this happening is 2/8 or 1/4.But we are asked for the probability that the coin will land on the same side in all three tosses, not just one specific side.
Therefore, we need to divide our previous result by 2 (the number of sides of the coin) to get the final answer: 1/4 ÷ 2 = 1/8. The probability that the coin will land on the same side in all three tosses is 1/8.
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A’(10, 5) is the image of A after a translation along the vector 〈−6, 0〉. What are the coordinates of A?
To perform the opposite translation, we add the opposite of the translation vector to the image point A': the coordinates of point A are (16, 5).
what is a vector?
In mathematics, a vector is an object that represents a quantity having both magnitude (or length) and direction. Vectors can be represented geometrically as arrows, where the length of the arrow represents the magnitude of the vector and the direction of the arrow represents the direction of the vector.
To find the coordinates of point A, we need to perform the opposite translation of moving along the vector 〈−6, 0〉 from the image point A'(10, 5). This is because a translation is a rigid motion that preserves the distance between points, so the distance between A and A' is the same as the distance between their respective translations.
To perform the opposite translation, we add the opposite of the translation vector to the image point A':
A = A' - 〈-6, 0〉 = (10, 5) - (-6, 0) = (16, 5)
Therefore, the coordinates of point A are (16, 5).
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A four-sided figure is resized to create a scaled copy. The lengths of its four sides
change as in the table below.
Original Figure Scaled Copy
64
88
104
8
11
13
Find the constant of proportionality from the original figure
to the scaled copy. Express your answer as a fraction in
reduced terms.
1
The scale of proportionality is given as 8 from the table that you have presented
How to solve for the scale of proportionalityThe table here was not properly arranged in the question. I have done so below
64 88 104
8 11 13
lets say that 8p = 64
then p = 64 / 8
p = 8
we would have to determine if the value 8 when multiplied with scaled factor would be able to give us the original factor
8 * 11 = 88
8 * 13 = 104
Hence the scale of proportionality is given as 8
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the sum of shannon and john’s ages is 70 shannon is 4 times as old as john
Please help anyone!!
A rhombus has an area of 20 cm^2. One diagonal is 10 cm. What is the other diagonal
The other diagonal of the rhombus is 4 cm.
The other diagonal of the rhombus can be found using the formula for the area of a rhombus, which is A = (d₁ × d₂)/2, where d₁ and d₂ are the lengths of the diagonals.
We're given that the area of the rhombus is 20 cm² and that one diagonal (d1) is 10 cm. Plugging these values into the formula, we get:
20 = (10 × d₂)/2
Simplifying, we get:
20 = 5 d₂
Dividing both sides by 5, we get:
d₂ = 4
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. a student is calculating the surface area of a single sheet of paper. he measures the length to be he measures the width to be the student should record the area of the paper as (a) 602.64 cm2 . (b) 602.6 cm2 . (c) 602 cm2 . (d) 603 cm2 .
The student should record the area of the paper as option (c) 602 cm^2
The student measured the length and width of a single sheet of paper and was asked to calculate its surface area. The surface area of the paper is the product of its length and width, which can be calculated by multiplying the two measurements together.
The surface area of the paper can be calculated as the product of the length and the width
Surface area = length × width
Substituting the given measurements, we get
Surface area = 43 cm × 14 cm
Surface area = 602 cm^2
Therefore, the correct option is (c) 602 cm^2
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The given question is incomplete, the complete question is;
A student is calculating the surface area of a single sheet of paper. he measures the length to be 43 cm he measures the width to be 14cm the student should record the area of the paper as (a) 602.64 cm^2 . (b) 602.6 cm^2 . (c) 602 cm^2 . (d) 603 cm^2 .
HELP FAST I DONT HAVE TIME ASAP
Answer:772
Step-by-step explanation:
SA=PH+2b
SA=(10+8+10+8)(17)+2(8x10)
SA=772
Answer:
Step-by-step explanatin
multiply all of them
Help plis! Need process too
Answer:
Step-by-step explanation:
E
I need help with this please ASAP people keep on skipping I need help
Answer:
To create a line plot for this data, we can first convert all the fractions to a common denominator, such as eighths:
Monday: 6/8 of an hour
Wednesday: 4/8 of an hour
Friday: 2/8 of an hour
Sunday: 4/8 of an hour
Then, we can draw a number line with tick marks representing each day of the week and plot a dot for each amount of time spent working out:
0 1 2 3 4
|---------|---------|---------|---------| <- Number line
. .
. .
. .
. .
To find out how much time June should work out each day to spend an even amount of time working out, we can first find the total amount of time she spent working out:
6/8 + 4/8 + 2/8 + 4/8 = 16/8 = 2 hours
Since there are four days she worked out, to find out how much time she should work out each day, we can divide the total time by four:
2 hours ÷ 4 = 0.5 hours
Therefore, June should work out for 0.5 hours, or 30 minutes, each day to spend an even amount of time working out.
you are placing 11 different pictures on separate pages of a photo album. how many different ways can you order the 11 pictures in the album?
The number of different ways to order 11 different pictures in a photo album is 39,916,800.
To calculate this number, we can use the formula for permutations, which is:
n! / (n - r)!
where n is the total number of items to choose from (in this case, 11 pictures) and r is the number of items to be selected (also 11, since we want to order all the pictures).
Plugging in the values, we get:
11! / (11 - 11)! = 11! / 0! = 11!
We can simplify 11! as:
11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
Using a calculator or by hand, we can find that 11! equals 39,916,800.
Therefore, there are 39,916,800 different ways to order 11 different pictures in a photo album.
Hence, the number of ways to order 11 pictures in a photo album can be calculated using the permutation formula, which gives a total of 39,916,800 possible arrangements.
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a. Is there a value of x, for -3≤x≤2, such that g(x)= 0
b. Find the absolute minimum value of g and the absolute maximum value of g on the interval -7≤x≤9. Justify your answer.
For x = -2, g(-2) = 2(-2)^3 - 5(-2)^2 + 4(-2) - 1 = 0, so there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2.
The absolute minimum value of g on the interval -7 ≤ x ≤ 9 is -765, and the absolute maximum value of g on the interval is 1720.
How to Solve the Problem?a. To determine if there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2, we can plug in each value of x in the interval into the equation and see if we get 0.
g(x) = 2x^3 - 5x^2 + 4x - 1
For x = -3, g(-3) = 2(-3)^3 - 5(-3)^2 + 4(-3) - 1 = -55, which is not 0.
For x = -2, g(-2) = 2(-2)^3 - 5(-2)^2 + 4(-2) - 1 = 0, so there is a value of x such that g(x) = 0 for -3 ≤ x ≤ 2.
b. To find the absolute minimum and maximum values of g on the interval -7 ≤ x ≤ 9, we can use the Extreme Value Theorem, which states that a continuous function on a closed interval will have both an absolute minimum and maximum value on that interval.
To find these values, we can take the derivative of g(x) and set it equal to 0 to find critical points, and then evaluate g(x) at those critical points as well as at the endpoints of the interval.
g(x) = 2x^3 - 5x^2 + 4x - 1
g'(x) = 6x^2 - 10x + 4 = 2(3x-2)(x-1)
Setting g'(x) = 0, we get critical points x = 2/3 and x = 1.
g(-7) = -765, g(2/3) = -23/27, g(1) = 0, and g(9) = 1720.
Therefore, the absolute minimum value of g on the interval -7 ≤ x ≤ 9 is -765, and the absolute maximum value of g on the interval is 1720.
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what effect does increasing the sample size, n, have on the center of the sampling distribution of sample means?
Increasing the sample size leads to a more accurate estimation of the population mean.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number outcomes.
As the sample size, n, increases, the center of the sampling distribution of sample means becomes more precise and closer to the true population mean. This is known as the central limit theorem, which states that as the sample size increases, the distribution of sample means becomes approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In other words, as we take larger and larger samples, we are more likely to obtain sample means that are closer to the true population mean. This is because larger samples are less affected by random fluctuations and more likely to provide a representative picture of the population as a whole.
Therefore, increasing the sample size leads to a more accurate estimation of the population mean.
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Complete the table below using what you know about trigonometric ratios for right triangles.
Write your ratios as fractions. A message will appear when you are correct.
(a) The ratio of sin A as a fraction is 63/65, cos A is 16/65 and the tan of angle A is 63/16.
(b) The ratio of sin B as a fraction is 16/65, cos B is 63/65 and the tan of angle B is 16/63.
What is the missing part of the right triangle?The missing parts of the right triangle is calculated using the trigonometry principle as shown below.
For angle A:
opposite side = 63
adjacent side = 16
hypothenuse side = 65
sin A = opp/hypo = 63 / 65
cos A = adj/hypo = 16 / 65
tan A = opp/adja = 63/16
For angle B:
opposite side = 16
adjacent side = 63
hypothenuse side = 65
sin B = opp/hypo = 16 / 65
cos B = adj/hypo = 63 / 65
tan A = opp/adja = 16/63
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23. (p. 434-435) Which of the following factors work to reduce conflict and promote positive interaction between grieving couples who have lost a child by death?
1. Open and honest communication
2. Expressing emotions in each other's company
3. Crying separately to minimize the open grief and pain
4. Ability of partners to reframe each other's behavior in a positive way
A. 1, 2, and 3
B. 1, 2, and 4
C. 1, 3, and 4
D. 2, 3, and 4
The following factors work to reduce conflict and promote positive interaction between grieving couples who have lost a child by death is open and honest communication, expressing emotions in each other's company, and the ability of partners to reframe each other's behavior in a positive way. The correct option is B. 1, 2, and 4
When grieving couples lose a child due to death, it can lead to tension in their relationship, leading to conflicts between the couple. However, some factors work to reduce conflicts and promote positive interaction between grieving couples who have lost a child by death.
These factors include the following:
:Open and honest communication: Open communication is essential when it comes to expressing emotions, needs, and expectations from one another. It helps to build understanding, trust, and positive interaction between the couples. Honest communication provides room for clarification and better comprehension of each other's feelings and needs
Reframing each other's behavior in a positive way helps to build a healthy relationship and reduce conflicts.Crying separately to minimize the open grief and pain: Crying separately does not help reduce conflicts between the couple as it promotes distance and an unhealthy way of dealing with grief. It is important to grieve together and find support from each other to heal and move forward.
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draw a quadratic function that only has one root at 3
The quadratic function that only has one root at 3 and passes through the point (0,4) is: f(x) = (4/9)(x - 3)^2
What is quadratic equation?A quadratic equation is a polynomial equation of degree 2, meaning that the highest exponent of the variable is 2. It has the general form:
ax^2 + bx + c = 0
If a quadratic function has only one root at 3, then it must be of the form:
f(x) = a(x - 3)^2
where a is a constant. This is because a quadratic function with only one root must have a double root, meaning that the parabola only touches the x-axis at that point and does not cross it. And a quadratic function with vertex at (3,0) and opening upwards satisfies this condition.
To determine the value of a, we can use any additional information that may be provided, such as the value of the function at another point. For example, if we know that f(0) = 4, then we can substitute these values into the equation to get:
4 = a(0 - 3)^2
4 = 9a
a = 4/9
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The quadratic function that has only one root at 3 and passes through (0,4) is: [tex]f(x)=(\frac{4}{9} )(x-3)^{2}[/tex]
Why is it called a quadratic equation?A quadratic equation is a second-degree algebraic problem in x. In its standard form, the quadratic equation is [tex]ax^2+bx+c=0[/tex], where an as well as b are the coefficients, x is the variable, and c is the value of the constant component. The essential requirement for a formula to be a quadratic equation is that the coefficient of [tex]x^2[/tex] is not zero (a 0). When writing an equation with quadratic equations in conventional format, the [tex]x^2[/tex] term comes first, then the x term, and lastly the constant term.
A quadratic equation is a polynomial expression of degree 2, which means that the variable's greatest exponent is 2. It takes the following basic form:
[tex]ax^2+bx+c=0[/tex]
If the quadratic function has only one root at 3, it must have the following form:
[tex]f(x)=a(x-3)^2[/tex]
This requirement is satisfied by a quadratic function with a vertex at (3,0) and an opening upwards.
We know that f(0) = 4, so we can plug these numbers into the equation to get:
[tex]4=a(0-3)^2[/tex]
simplify the above equation
4 = 9a
The value is,
a = 4/9
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a dance delegation of 4 people must be chosen from 5 pairs of dance partners. if 2 dance partners can never be together on the delegation, how many different ways are there to form the delegation?
There are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.
The total number of ways to form the delegation from five pairs of dance partners can be calculated using the combination formula. The combination formula is used to calculate the number of different combinations of n objects taken r at a time without repetition.
In this question, n is the total number of dance partners (5) and r is the number of people on the delegation (4).
Therefore, the calculation is as follows:
total number of ways = nCr
= 5C4
= 5! / 4!(5-4)!
= 5! / 4!1!
= 5 x 4 x 3 x 2 x 1 / 4 x 1 x 1
= 5 x 4 x 3 x 2
= 120
Hence, there are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.
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a playground 98 ft long and 56 ft wide is to be resurfaced at a cost of $3.75 per sq ft what will the resurfacing cost?
Answer:L x b
98ft x 56ft =5488
=5488 / $3.75= $1463.47
Step-by-step explanation: Play ground is more like a rectangle so we use the formula for the rectrectangle to get total area . A=Lxb
Divide the total with the cost since it say each per sqr feet
A=lxb
98x56=5488
5488/3.75= 1463.47
Solve the following quadratic function by utilizing the square root method.
Answer:
x = ±9
Step-by-step explanation:
If x² = k, then x = ±√k.
x² - 81 = 0
x² = 81
x = ±√81
x = ±9
Write the equation of the line that is parallel to y=- 3/2and passes through
point (2,3).
Answer:
[tex]y-3=-\frac{3}{2}(x-2)[/tex]
Step-by-step explanation:
In order to find an equation that is parallel, it must have the same slope. This means the y intercept could literally be anything.
By equation of the line, we can write it in point slope form
[tex]y-y1=m(x-x1)[/tex]
where y1 and x1 are points on the coordinate plane and m is the slope.
We are already given the slope, so we just plug in the numbers.
[tex]y-3=-\frac{3}{2}(x-2)[/tex]
solve for y: 9=4x+6y
Answer:
[tex]\huge\boxed{\sf y = \frac{9-4x}{6}}[/tex]
Step-by-step explanation:
Given equation:9 = 4x + 6y
Subtract 4x from both sides9 - 4x = 6y
Divide both sides by 6[tex]\displaystyle \frac{9-4x}{6} = y\\\\OR\\\\y = \frac{9-4x}{6} \\\\\rule[225]{225}{2}[/tex]
Answer:
y = (-4x + 9)/6y = (-2x/3) + (3/2)Step-by-step explanation:
Now we have to,
→ Find the required value of y.
The equation is,
→ 9 = 4x + 6y
Then the value of y will be,
→ 9 = 4x + 6y
→ 4x + 6y = 9
→ 6y = 9 - 4x
→ 6y = -4x + 9
→ y = (-4x + 9)/6
→ y = (-4x/6) + (9/6)
→ y = (-2x/3) + (3/2)
Hence, this is the answer.
if a continuous probability distribution is symmetric above and below the mean and displays a bell-shaped function, what type of distribution does this indicate?
There is a 68.26% chance of a value falling between 3 and 7 in the given normal distribution.
This indicates a normal distribution, which is a type of continuous probability distribution. It is characterized by a bell-shaped curve that is symmetric about the mean, with a specific formula given by f(x) = [tex]1/(σ√2π)e^(-(x-μ)^2/2σ^2)[/tex]where μ is the mean, σ is the standard deviation, and x is the random variable.
In terms of calculation, we can use the formula to calculate the probability of a certain event occurring. For example, if we know the mean and standard deviation of a normal distribution, we can calculate the probability of a value between two given points. For example, if the mean is 5 and the standard deviation is 2, then the probability of a value between 3 and 7 is given by the integral of f(x) from 3 to 7, which is equal to 0.6826. This means that there is a 68.26% chance of a value falling between 3 and 7 in the given normal distribution.
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can someone help me please i don't understand this
The transformation that would not result in a congruent figure when performed on triangle RST is A. A dilation by a scale factor of 2 with respect to point R.
The equation that has the same solution as the system of equations is C. 4x + 9y = 10
4x + 6y = 24.
Which transformations changes congruency ?Transformations that change the shape or size of a figure can change its congruency. A dilation is a transformation that changes the size of a figure so this would mean that RST dilated would not result in a congruent figure.
How to find the equation?When the system of equations, 4x + 9y = 10, 2x + 3y = 12 is solved, we find that x = 13 and y = - 14/ 3.
Options A,B, and D cannot have the same value because the numbers are the same and so they should have different values., Only option C can be the same and when the values are slotted in, this is proven.
Option C, 4x + 9y = 10 , 4x + 6y = 24 is therefore correct.
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