At a school bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece got ⅙ of a pie. Each slice sold for $2. The were sold out. How much money did the kids make if there were 11 pies sold? B. How many slices were sold?

Options a, d, and e could describe a binary search tree while the rest doesn't.

In a binary search tree (BST), every element 'a' has certain properties regarding its position relative to other elements in the tree. Let's analyze it:

a. "Lesser than all elements in its left subtree": This statement would hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element.

b. "Greater than all elements in its left subtree": This statement would not hold true in a BST. In a BST, the left subtree contains elements that are smaller than the current element, so 'a' cannot be greater than all elements in its left subtree.

c. "Lesser than all elements in its right subtree": This statement would not hold true in a BST. In a BST, the right subtree contains elements that are greater than the current element, so 'a' cannot be lesser than all elements in its right subtree.

d. "Greater than all its descendants": This statement would hold true in a BST. In a BST, all elements in the left subtree are smaller than the current element, and all elements in the right subtree are greater. Therefore, 'a' would be greater than all its descendants.

e. "Greater than all elements in its right subtree": This statement would hold true in a BST. In a BST, the right subtree contains elements that are smaller than the current element, so 'a' can be greater than all elements in its right subtree.

In summary, options a, d, and e could describe a binary search tree, while options b and c would not accurately describe a binary search tree.

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We can standardize the values and use the standard normal distribution to find the required probability:

z1 = (47000 - 52500) / 2500 = -2.2

z2 = (53000 - 52500) / 2500 = 0.2

Using a standard normal table or calculator, we can find that the area under the curve between z=-2.2 and z=0.2 is approximately 0.5578.

Therefore, the percentage of students with a BIT degree who will have starting salaries between $47,000 and $53,000 is 55.78%.

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Answer:

1/8-7/8= -3/4

Step-by-step explanation:

1/8-7/8 is just like 7/8-1/8 but is the opposite

7/8-1/8=6/8 or 3/4

1/8+6/8=7/8

1/8-1/8=0

0-6/8= -6/8 or -3/4

The total number of micrograms present in the 65.3 kilograms is equal to 65,300,000,000 micrograms.

Conversion of units from kilogram to grams is :

1 kilogram = 1,000 grams

Conversion of units from grams to micrograms is :

1 grams  = 1,000,000 micrograms

⇒ 1 kilogram = ( 1,000 × 1,000,000 ) micrograms

⇒1 kilograms = 1,000,000,000 micrograms

Substitute the required value for the converting kilogram to micrograms we get,

⇒ 65.3 kilograms = ( 65.3 × 1,000,000,000 ) micrograms

⇒65.3 kilograms = 65,300,000,000 micrograms

Therefore, the total quantity of micrograms in 65.3 kilograms is equal to 65,300,000,000 micrograms.

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The division of 78 by 13 will gives 78/13 as reduced fractions

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, can be interpreted as equally dividing the number WHICH is being divided in total x parts, where x is the number of parts the number is divided.

WE have to divide the number 78 by 13 to find the fraction form first.

78 divided by 13 means 78÷ 13

Therefore, 78/13 in reduced fractions

78/13 = 6 in whole number

Hence, The division of 78 by 13 will gives 78/13 AS reduced fractions

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The complete question is;

Find 78 divided by 13. Input your answer as a reduced fraction.

Answer:

As slope is found by and our points are ( ) ( ) for the minimum and maximum heights, respectively, we can reason that the slope of the best fit line should be While this is by no means a perfect slope, it does provide us with a good estimate for the actual slope of the best fit line.Using the information, our equation has only one more variable ...

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

y=mx +c

y= -4X + c

7 = -4 x -2 + c

7= 8 + c

7-8 = c

-1 = c

Answer:

The correct option is;

LeftAngleBracket negative 16, 14 RightAngleBracket which is \(\left \langle -16, 14 \right \rangle\)

Step-by-step explanation:

The given coordinates of the points are;

The starting point, Q(23, 48) and the final point, R(7, 62)

Therefore, we have;

The x component = The x-value of R - The x-value of R = 7 - 23 = -16

The y component = The y-value of R - The y-value of R = 62 - 48 = 14

Therefore, the component form of the vector QR = \(\left \langle -16, 14 \right \rangle\)

Answer:

B on Edg.

Step-by-step explanation:

Yay

Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

Answer:

i hope this helps

Step-by-step explanation:

(a)The probability that it will rain on all three days is 34.3%.

(b) The probability that it will rain on exactly two consecutive days is 49%.

Probability :

The probability of an event is a number that indicates the probability of the event occurring. Expressed as a number between 0 and 1 or as a percent sign between 0% and 100%. The more likely an event is to occur, the greater its probability. The probability of an impossible event is 0; the probability of a certain event is 1. The probabilities of two complementary events A and B - either A occurring or B occurring - add up to 1.

A simple example is tossing a fair (fair) coin. If a coin is fair, both possible outcomes ("heads" and "heads") are equally likely; since the two outcomes are complementary and the probability of "heads" is equal to the probability of "heads" Probability, so the probability of each of the two outcomes is equal to 1/2 (which can also be written as 0, 5 or 50%).

According to the Question:

The three-day raining forecast for Friday, Saturday and Sunday is given that,

Friday = 70 %

Saturday = 70 %

Sunday = 70 %

Therefore,

The probability that it will rain on all three days is,

P(E) = 0.7× 0.7× 0.7

      = 0.343

Or, P(E) = 3.43%                  

Now,

The probability that it will rain on exactly two consecutive days is,

P(E) = 0.7 × 0.7

      =  0.49

∴ P(E) = 49%            

Complete Question:

The table below shows the three-day forecast for Friday, Saturday and Sunday in Aberystwyth.

       Days                               Probability of Rain

      Friday                                         70%

    Saturday                                      70%

     Sunday                                        70%

a) Work out the probability that it will rain on all three days

b) Work out the probability that it will rain on exactly two consecutive days.

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The total cost of materials and labor for the office space, considering a tile unit cost of P300 and labor cost equal to the materials cost, amounts to P63,000.

To calculate the total cost of materials and labor, we first need to determine the cost of the tiles. Given that the unit cost of a certain tile is P300, we can multiply this by the area of the office space to find the total cost of the tiles. The office space has an area of 63 sqm, so the total cost of the tiles is P300 * 63 = P18,900.

Next, we need to calculate the labor cost, which is 100% of the materials cost. Since the materials cost is P18,900, the labor cost will be equal to P18,900. Therefore, the total cost of labor is also P18,900.

To find the total cost of materials and labor, we add the cost of the tiles (P18,900) and the labor cost (P18,900): P18,900 + P18,900 = P37,800.

Therefore, the total cost of materials and labor for the office space is P37,800.

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Answer:

Step-by-step explanation:

Total to spent

Cost of a desktop PC

Cost of a tablet

Cost of desktop PCs and tablets

Required equation

The standard form allows to see numbers of each item and their total price

To show that w is in the subspace of R4 spanned by V1, V2, and V3, we need to find constants c1, c2, and c3 such that:

w = c1V1 + c2V2 + c3V3

We can write this as a matrix equation:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

We can solve this system of equations using row reduction:

| 1 -4 -9 -4 | | c1 | | -2 |

| 6 3 5 1 | x | c2 | = | -1 |

| 2 4 11 -8 | | c3 | | -1 |

| -15 7 22 -14 | | -2 |

R2 = R2 - 6R1

R3 = R3 - 2R1

R4 = R4 + 15R1

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 -23 67 -59 | | -32 |

R4 = R4 + 23R2

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 12 29 -16 | | c3 | | 3 |

| 0 0 174 -294 | | 225 |

R3 = R3 - (12/27)R2

R4 = (1/174)R4

| 1 -4 -9 -4 | | c1 | | -2 |

| 0 27 59 25 | x | c2 | = | 11 |

| 0 0 -1 22/3 | | c3 | | -13/3 |

| 0 0 1 -98/87 | | 25/58 |

R1 = R1 + 4R3

R2 = R2 - 59R3

R4 = R4 + (98/87)R3

| 1 0 -13 -10/3 | | c1 | | 21/29 |

| 0 27 0 -2119/87 | x | c2 | = | 2238/87 |

| 0 0 1 -98/87 | | c3 | | 25/58 |

| 0 0 0 1390/2391 | | 1009/2391 |

R1 = R1 + (13/1390)R4

R2 = (1/27)R2

R3 = R3 + (98/1390)R4

| 1

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Given the following?

a1 = 28

a2 = 21

a3 = 14

a4 = 7

We are asked to find the formula for the nth term in above arthmetic sequence.

Generally the nth term of an arithmetic sequence is:

an = a1 + (n - 1)d

Where:

a1 is the first term

d is the common difference.

Lets find the common difference, d:

d = a2 - a1 = a3 - a2

d = 21 - 28 = 14 - 21

d = -7 = -7

d = -7

So,

an = a1 + (n - 1)d

an = 28 + (n - 1)-7

an = 28 -7n + 7

an = -7n + 28

Coordinate descent may not converge to a stationary point for non-convex functions.

(a) A simple example to show that coordinate descent may not find the optimum of a convex function is f(x,y) = x^2 - y^2. Coordinate descent starting from x will not get to the global minimum of f, which is (0,0).

If we start at (1,1), then the first step is to update x by minimizing f(x,1), which is equivalent to minimizing x^2 - 1. This is minimized at x = 0, so the first step takes us to (0,1).

The second step is to update y by minimizing f(0,y), which is equivalent to minimizing -y^2. This is minimized at y = 0, so the second step takes us to (0,0).

However, this is not the global minimum, which is at (-1,0). Therefore, coordinate descent did not find the global minimum.

(b) No, coordinate descent with exact line search may not always converge to a stationary point for f(x,y) = x^2 + y^2 + 3xy because it is not convex.

In fact, the objective function has a saddle point at (0,0), which is a stationary point but not a local minimum or maximum.

If we start at (1,1), then the first step is to update x by minimizing f(x,1), which is equivalent to minimizing x^2 + x + 1. This is minimized at x = -1/2, so the first step takes us to (-1/2,1).

The second step is to update y by minimizing f(-1/2,y), which is equivalent to minimizing y^2 - (3/2)y + 5/4. This is minimized at y = 3/4, so the second step takes us to (-1/2,3/4).

The third step is to update x again by minimizing f(x,3/4), which is equivalent to minimizing x^2 + (3/2)x + 9/16. This is minimized at x = -3/4, so the third step takes us to (-3/4,3/4).

We can continue this process, but we will never converge to a local minimum because the objective function has a saddle point.

Therefore, coordinate descent may not converge to a stationary point for non-convex functions.

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The gamma distribution with parameters $\alpha$ and $\beta$ is a probability distribution that can be derived using the transformation $x = \beta y$.

The probability density function of the gamma distribution is:

f(x; α, β) = \frac{(\beta x)^{\alpha - 1} e^{-\beta x}}{\Gamma(\alpha)}

where $\alpha$ is the shape parameter and $\beta$ is the rate parameter.

The derivation is as follows:

* The gamma function is defined as:

Γ(α) = \int_0^{\infty} x^{\alpha - 1} e^{-x} dx

* Using the transformation $x = \beta y$, we get:

Γ(α) = \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy

* We can then write the probability density function of the gamma distribution as:

f(x; α, β) = \frac{1}{\Gamma(\alpha)} \int_0^{\infty} (\beta y)^{\alpha - 1} e^{-\beta y} \beta dy

* This is the same as the probability density function of the gamma distribution with parameters $\alpha$ and $\beta$.

The mean and variance of the gamma distribution can be found using the following formulas:

E(X) = \alpha \beta

Var(X) = \alpha \beta^2

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A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

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Answer:

The probability is 0.29

Step-by-step explanation:

Firstly, we need to know the total number of retakes

That is simply the sum of the frequencies

we have this as;

27 + 29 + 18 + 14 + 12 = 100

so the probability of retaking exactly once will be the number of 1 retakes divided by total

That would be 29/100 = 0.29

This hypothesis test is a one-tailed test, which is the response to the supplied question based on the hypothesis test.

A statement that there is no significant difference between two or more populations or that there is no correlation between two variables is known as the null hypothesis in statistical hypothesis testing. "H0" is a common notation for it.

Until contrary evidence is presented, the null hypothesis—which is typically the default position—is taken to be true. "H1" stands for the alternative hypothesis, which is the null hypothesis's opposite and is the hypothesis that is put to the test.

The following will serve as an appropriate null and alternate hypothesis when determining if vendor 1's mean service time (µ1) is longer than vendor 2's (µ2):

It is true that vendor 1's mean service time is shorter than or equal to vendor 2's mean service time (µ1 ≤ µ2).

As an alternative, vendor 1's mean service time is longer than vendor 2's mean service time (µ1 > µ2).

We are solely interested in the probability that the mean service time for vendor 1 is longer than that of vendor 2 in our one-tailed hypothesis test.

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Step-by-step explanation:

\(volume \: of \: cylinder = \pi \: {r}^{2} h \\ volume = 3.14 \times {7}^{2} \times 19 \\ = 2923.34 \: millimetres\)

The correct answer is B. Dilating a figure by a scale factor of 1 does not describe a rigid motion transformation.

Rigid motion transforms, also known as isometrics, preserve the character's shape and size.

This means that the transformed shape is the same as the original shape. Rigid motion includes rotation, translation, and reflection.

Rigid Motion transformation preserves character shape and size.

This includes rotation, translation and reflection.

However, dilation changes the size of the shape.

Enlarging a picture by a factor of 1 does not change the size of the picture. This is not a rigid motion transform as the character will not be preserved exactly as it was before the transform.

For expansion with a scale factor of 1, the number is simply multiplied by 1 to get the same number.

The picture remains the same size after being scaled by a scale factor of 1, so no transformation is needed to change the shape or size of the picture.

Therefore, it does not apply to rigid body motion transformations.

In summary, enlarging a figure by a scale factor of 1 is not a rigid body motion transformation because it does not change the size of the figure, making it identical to the original figure.

Option B enlarges the figure by a scale factor of 1, so rigid body motion transformations are not described.

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Given data:

The first equation is 2x+3y=-12.

The second equation is x+y=9.

The second equation can be written as,

y=9-x

Substitute the above value in second equation.

2x+3(9-x)=-12

2x+27-3x=-12

-x=-39

x=39

The value of y is,

39+y=9

y=-30.

Thus, the value of x is 39, and the value of y is -30.

Answer:

You would start at 3 and then go backwords till the end.

So you'd choose the 3 option. <-o

Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o

Hope this helps! <3

If X has the hypergeometric distribution, the minimum value that X can take is option (e) 0

The hypergeometric distribution models the probability of getting a certain number of successes in a fixed-size sample drawn without replacement from a finite population containing a known number of successes and failures.

The minimum value that X can take depends on the specific parameters of the distribution.

If the population size is N, the number of successes in the population is K, and the sample size is n, then the minimum value that X can take is max(0, n - (N - K)).

This is because the sample can contain at most n items, and if all of them are failures (i.e., none of them are successes), then X would be 0. On the other hand, if there are fewer than n failures in the population, then the sample can contain at most n - (N - K) successes. If n - (N - K) is negative, then there are more successes than failures in the population, and X can take any value between 0 and n, inclusive.

Therefore, the correct option is (e) 0

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Answer:

6

ENTER IT NOW, PLEASE GIVE ME BRAINLIEST

Answer:

the answer is B

Answer:

The correct answer is B) Benefit would decrease by $7,020 annually.

The required answer is the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.

To find the equation of the tangent line to the function at the point (2, f(2)) = (2, 4), we need to first find the derivative of the function at x = 2.
Assuming we have the original function loaded in content, we can find the derivative as follows:
f(x) = x^2 + 2x
f'(x) = 2x + 2

The tangent line touched the a curve can be made more explicit by considering the sequence of straight lines passing through two points, A and B, those that lie on the function curve. The tangent at is the limit when points ,approximates or tends .

If two circular arcs meet at a sharp point  then there is no uniquely defined tangent at the vertex because the limit of the progression of secant lines depends on the direction in which "point B" approaches the vertex.

The existence and uniqueness of the tangent line depends on a certain type of mathematical smoothness, known as "differentiability."
Now we can plug in x = 2 to find the slope of the tangent line at that point:
f'(2) = 2(2) + 2 = 6
So the slope of the tangent line is m = 6.
To find the y-intercept (b) of the tangent line, we can use the point-slope form of a line:
y - y1 = m(x - x1)
Plugging in the point (2, 4) and the slope we just found, we get:
y - 4 = 6(x - 2)
Simplifying and solving for y, we get the equation of the tangent line in slope-intercept form:
y = 6x - 8
Therefore, the equation of the tangent line to the function at the point (2, f(2)) = (2, 4) is y = 6x - 8.

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Answer:

it is actually 70

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

x + ( x + 2 ) + ( x + 4 ) = 210

3x + 6 = 210

3x = 204

x = 68

Remember that x is the smallest, so we have to add 4 to 68 to get the largest of the 3 consecutive even integers: 68 + 4 = 72.

Answer:

It is 91

Step-by-step explanation:

:)

Answer:

C: 91

Step-by-step explanation:

Unit test Edge 2021