Lamont keeps tracks of his math grades by recording them in a table. He wants to keep an average of 90, so he also lists the amount that each grade is above or below 90.

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

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Measuring length and width can determine if the center section is within specification. The given statement is insufficient to be determined as true or false as the statement doesn't specify the length and width of what is being measured.

Therefore, we can not provide the required answer without knowing the complete question. Hence, we need further information on the complete statement. In technical terms, specifications are a set of specifications and requirements that a product, materials, service, or system must meet. Specifications are developed to ensure that products, systems, or services are consistent, trustworthy, and meet the needs of the end-user. Therefore, specifications play a crucial role in ensuring the quality and reliability of a particular product or service. It also helps to determine whether a product or service meets the required safety and performance standards or not.

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The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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Answer:

30 feet of chain link and 50 feet of rope

Step-by-step explanation:

Let's call the amount of chain link as x and the amount of rope as y. We can write:

x + y = 80 -- Equation 1

2x + 1.5y = 135 -- Equation 2

2x + 2y = 160 -- Equation 3 (Multiply Equation 1 by 2)

0.5y = 25 (Subtract Equation 2 from Equation 3)

y = 50 (Divide by 2)

x + 50 = 80 (Substitute y = 50 into Equation 1)

x = 30 (Subtract 50)

Draw and extend the perpendicular bisectors of the sides. The circumcenter of that triangle will be where the perpendiculars intersects.

The intersection of the perpendicular bisectors of a triangle's sides is referred to as the triangle's circumcenter. In other words, the circumcenter is the point at which a triangle's sides intersect to form a bisector.

It is denoted by P(X, Y). The triangle's circumcenter, which can be found inside or outside the triangle, serves as both the triangle's centre and the centre of its circumcircle.

In geometry, a polygon's circumscribed circle, also known as its circumcircle, is a circle that passes through each of the polygon's vertices. The circumcenter and circumradius of this circle, respectively, are terms used to describe its centre and radius.

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Answer: 2/5

Step-by-step explanation:

subtract 1/3 from 7/9 in a calculator, and then convert that number to a fraction and it is 4/10 and just change that to 2/5.

Answer:

4/9

Step-by-step explanation:

7/9- 1/3

= 7/9 - 1 /3(×3)[both 1 & 3 multiply by 3]

= 7/9- 3/9

= 7-3/9

= 4/9

The vertex form of the quadratic equation \(\(y = x^2 - 6x + 2\) is \(y = (x - 3)^2 - 7\)\) represents a minimum at \(\((3, -7)\)\).

To rewrite the quadratic equation \(\(y = x^2 - 6x + 2\)\) in vertex form, we complete the square by adding and subtracting the appropriate constant term.

Starting with \(\(y = x^2 - 6x + 2\)\), we proceed as follows:

\(\[y = (x^2 - 6x) + 2\]\)

Now, we complete the square by adding the square of half the coefficient of \(\(x\)\) to both sides:

\(\[y = (x^2 - 6x + 9) - 9 + 2\]\)

Simplifying further:

\(\[y = (x^2 - 6x + 9) - 7\]\)

The expression inside the parentheses can be rewritten as a perfect square:

\(\[y = (x - 3)^2 - 7\]\)

Now we have the equation in vertex form, which is \(\(y = a(x - h)^2 + k\)\), where \(\((h, k)\)\) represents the vertex of the parabola.

Comparing the equation to the vertex form, we can identify where the vertex is at \(\((h, k) = (3, -7)\)\).

Therefore, the correct answer is:

b. minimum at \(\((-3, -7)\)\)

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Answer:

The answer is B the average tax rate

Answer:

9 or 8.25

Step-by-step explanation:

27/3=9

35/4=8 3/4

To find the price of one pizza, we can set up a system of equations based on the given information. Let's assume that the price of one pizza is "x" dollars.

From the first scenario, we know that Diego paid $27 to have 3 pizzas delivered. Thus, we can write the equation:\(3x = 27\) From the second scenario, we know that Diego paid $35 to have 4 pizzas delivered. Thus, the equation becomes: \(4x = 35\) To solve this system of equations, we can use the substitution method .

From the first equation, rearranging it to solve for "x," we find: \(x = 27/3 x = 9\)Substituting the value of "x" into the second equation, we find:\(4(9) = 35 36 = 35\) This means there is no solution, indicating that there might be an error in the given information.

However, if we assume an average price for each pizza, we can calculate it. The average price per pizza can be found by dividing the total amount spent by the number of pizzas. Thus, for both scenarios combined, Diego spent $62 on 7 pizzas, leading to an average price of: \(62/7 ≈ $8.86\)Therefore, the estimated price of one pizza is approximately $8.86.

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Given, Height of the cliff = 20 m Distance of the car from the foot of the cliff = 10 m.

The time taken by the car to fall from the cliff can be found using the formula:

\(`h = (1/2) g t^2`\)

Where h is the height of the cliff, g is the acceleration due to gravity and t is the time taken by the car to fall from the cliff.

Substituting the given values,`20 = (1/2) × 9.8 × t^2`

Solving for t, `t = sqrt(20/4.9)` = 2.02 s

Let the initial velocity of the car be V0 and the time taken for the car to come to rest after applying brakes be t1.

Distance covered by the car before coming to rest can be found using the formula: `\(s = V0t1 + (1/2) (-5) t1^2\)`

Where s is the distance covered by the car before coming to rest.

Simplifying the above equation,\(`2.5 = V0 t1 - (5/2) t1^2`\)

Substituting the given values,`5 = V0 - 5 t1`

Solving the above two equations,\(`V0 = 32.5/2 t1`\)

Simplifying the above equation,`V0 = 16.25 t1`

Substituting the value o\(f t1,`V0 = 16.25 × 2` = 32.5 m/s\)

Therefore, the speed of the car before the start of braking is 32.5 m/s.

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Answer: True

Step-by-step explanation:    

Answer:

a

Step-by-step explanation:

x+5=5...implying that x=O

Answer:

Step-by-step explanation:

The graph decreases at first, then changes direction at (2, 5).

y = a(x-2)^2 + 5

Plug in (1,11) and solve for a:

11 = a(1-2)^2 + 5

a = 6

Equation in vertex form:

y = 6(x-2)^2 + 5

If E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, E and F are two events and that P(E)= 0.6 and P(F|E)= 0.5

As we know,

P(F|E)=P(E and F) / P(E)

0.5 = P(E and F) / 0.6

P(E and F)=0.5×0.6

P(E and F)=0.30

Thus, if E and F are two events, P(E)= 0.6 and P(F|E)= 0.5. The value of P(E and F) will be 0.30.

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Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

Answer: $33.48

Step-by-step explanation:

Given that:

Capacity of car tank =. 16 gallons

Gallons of already filled = 6.6 gallons

Amount left of tank capacity = 16 - 6.7

Amount left of tank capacity = 9.3 gallons

Cost of gas per gallon = $3.60

Hence, amount spent in gas will be

Amount left of tank capacity * cost per gallon of gas

= 9.3 gallons * $3.60

= $33.48

Total amount spent on gas = $33.48

any more help just ask :)

To determine how many cans of paint Mrs. Holland needs to paint her garage wall, we need to find the area of the wall. The wall measures 6 2/3 by 3 1/7, which can be converted to an improper fraction to make calculations easier.

6 2/3 = (6x3 + 2)/3 = 20/3

3 1/7 = (3x7 + 1)/7 = 22/7

So the wall measures 20/3 meters by 22/7 meters. To find the area, we can multiply these two values:

(20/3) x (22/7) = 440/21 square meters

Each can of paint covers 5 square meters, so we need to divide the area of the wall by 5 to determine how many cans of paint we need:

(440/21) ÷ 5 ≈ 4.19 cans

Since we can't buy a fraction of a can of paint, we need to round up to 5 cans.

So, it will cost Mrs. Holland 5 cans x $7.50 per can = $37.50 to paint her garage wall.

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Step-by-step explanation:

let's first transform these terms into real fractions :

2/5 = 2/5

4 1/8 = (4×8 + 1)/8 = 33/8

2 1/4 = (2×4 + 1)/4 = 9/4

first we need to handle the division (remember the priorities of arithmetic operations) :

-33/8 / -9/4 = (-33×4) / (-9×8) = 33 / (9×2) = 33/18

then we have to calculate

2/5 + 33/18

to do that we have to bring both fractions to the same denominator (must be divisible by 18 and by 5, so in this case it is 5×18 = 90) :

2/5 = 2/5 × 18/18 = 36/90

33/18 = 33/18 × 5/5 = 165/90

so,

36/90 + 165/90 = 201/90 = 67/30 = 2 7/30

The normality of a distribution as well as how fateful its tails are Kurtosis is a test for a distribution's normality that focuses on the size of the tails.

Kurtosis is a metric that indicates how heavy-tailed or light-tailed the data are in comparison to a normal distribution. In other words, data sets with a high kurtosis tend to have large outliers or heavy tails. Data sets with low kurtosis frequently lack outliers and have light tails. The worst-case scenario would be a uniform distribution.

Kurtosis is three and skewness is zero for the normal distribution. The test is based on how much the data's skewness deviates from zero and how far its kurtosis deviates from three. When the p-value is less than or equal to 0.05, the test rejects the normality hypothesis.

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Full Question :

Kurtosis is a measure of_____

a) how fat the tails of a distribution are

b) the downside risk of a distribution

c) the normality of a distribution

d) the dividend yield of the distribution

e) both how fate the tails of a distribution are and the normality of a distribution

Answer: k=-98

Step-by-step explanation: 11-k/2 = 60                                                                      11+ −1 /2 k=60                                                                                                       −1 /2 k+11-11=60-11                                                                                                                  (-1/2k)(2/-1)=49(2/-1)                                                                                                  −2/-2=98/-1                                                                                                                         1=-98                                                                                                                                                                                                                                                                                                                                                                                                                

Answer:

1) 5 glasses

2) im not sure sorry but hopefully i helped with the first one!!

Answer:

d)142º

Step-by-step explanation:

\(\widehat{AB}=2\times71\º=142\º\)

The equation which is used to find the number of chocolates candy in the jar is given by 18 + 24 + 19 + n = 82 , the number of chocolate candy in the jar is equal to 21.

Number of strawberry candy in the jar = 18

Number of cherry candy in the jar = 24

Number of lime flavored candies = 19

Let 'n' be the number of chocolate candy in the jar

Total number of candy in the jar = 82

Equation used to represent the given condition is :

18 + 24 + 19 + n = 82

⇒ 61 + n = 82

⇒ n = 82 - 61

⇒ n = 21

Therefore, the equation required to represent the number of chocolate candy is 18 + 24 + 19 + n = 82 and the value of n is equal to 21.

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Answer:

2288

Step-by-step explanation:

The statement that is true is:

Statements 1 and 3

Let's examine each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because every number that is divisible by 8 is also divisible by 4. Since 8 is a multiple of 4, any multiple of 8 will have factors of both 8 and 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true. Any number that is divisible by 18 is also divisible by 2 because 18 contains a factor of 2. Every multiple of 18 will have at least one factor of 2.

Statement 2 is not true. If n is a multiple of 18, then n is a multiple of 9.

This statement is false because there are numbers that are multiples of 18 but not multiples of 9. For example, 18 itself is a multiple of 18 but not a multiple of 9, as 18 divided by 9 is equal to 2.

Therefore, the correct answer is c) Statements 1 and 3.

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Answer:

(b) a perfect cube

Explination:

It is a perfect cube of 5

The values of the angle x in the line segments is 40 degrees.

When parallel lines are are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, the line FG is parallel to line HI. The line segment BC and AD are the transversal lines that cut across the parallel lines FG and HI.

Therefore,

3x + 20 + x = 180 (Same interior angles)

Same interior angles are supplementary.  That is the angles sum up to 180 degrees.

Therefore,

3x + 20 + x = 180

4x + 20 = 180

4x = 160

divide both sides by 4

x = 160 / 4

x = 40 degrees

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The probability that a student plays either baseball or soccer is 0.4296 (or 42.96%).This is the long answer.

Percentage of students that play baseball = 18%Percentage of students that play soccer = 32%Probability of a student playing baseball given that the student plays soccer = 22%We need to find the probability that a student plays either baseball or soccer (or both).Let the probability of a student playing baseball be P(B)Let the probability of a student playing soccer be P(S)Using the formula of conditional probability:P(B|S) = P(B ∩ S) / P(S)Where P(B ∩ S) is the probability that a student plays both baseball and soccerP(B ∩ S) = P(B) + P(S) - P(B ∪ S) (Using the formula of probability of the union of two events)Where P(B ∪ S) is the probability that a student plays either baseball or soccer or bothP(B ∪ S) = P(B) + P(S) - P(B ∩ S)Now substituting the values in the formula:P(B|S) = P(B ∩ S) / P(S) => 0.22 = P(B) + P(S) - P(B ∪ S) / 0.32

Now we need to calculate the probability that a student plays either baseball or soccer or both. Using the formula of probability of the union of two events. P(B ∪ S) = P(B) + P(S) - P(B ∩ S)We know :P(B) = 0.18P(S) = 0.32We need to calculate P(B ∩ S) which can be calculated as follows :P(B|S) = P(B ∩ S) / P(S)0.22 = P(B ∩ S) / 0.32 => P(B ∩ S) = 0.22 x 0.32 = 0.0704Now substituting the values in the formula :P(B ∪ S) = P(B) + P(S) - P(B ∩ S)P(B ∪ S) = 0.18 + 0.32 - 0.0704 = 0.4296

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By solving a quadratic equation, it can be calculated that-

x = 2 or x = \(\frac{1}{2}\) and y = -3

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The graph of the curve y=2x²-5x -1 and a straight line PQ where drawn, to solve the equation 2x²-5x+2=0

2x²-5x -1 - y =  2x²-5x+2

-1-y = 2

y = -1-2

y = -3

Now, the quadratic equation is

2x²-5x+2 = 0

2x²-4x-x+2 = 0

2x(x - 2) - 1(x - 2) = 0

(x - 2)(2x - 1) = 0

x - 2 = 0 or 2x - 1 = 0

x = 2 or x = \(\frac{1}{2}\)

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Answer:

1.6kg

explanation:

2.4kg = 12 boxes of the soap

0.8kg = 4 boxes of the soap

1.6kg = 8 boxes of the soap