9 (c - 6) = 63 what is the value of c

The correct option is option (c) that is the equation of the parabola with foci (2,1) and vertex (2,4) is given by (y-4)² = -12(x-2).

The equation of a parabola with a vertical axis of symmetry can be written in the form:

(y-k)² = 4a(x-h),

where (h, k) is the vertex and 4a is the distance between the vertex and the focus.

In this case, the vertex is (2,4), so h = 2 and k = 4.

The focus is given as (2,1), which means the distance between the vertex and the focus is 3.

Therefore, 4a = 3, or a = 3/4.

Substituting the values of h, k, and a into the general form of the equation, we get

(y-4)² = 4(3/4)(x-2),

which simplifies to (y-4)² = -12(x-2).

Thus, the correct equation for the parabola is (y-4)² = -12(x-2), which corresponds to option c.

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The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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Suppose x is the number of times a woman is selected when 3 people are randomly chosen from a group of 2 women and 2 men, the possible values of x are 0, 1, 2, and 3.

When 3 people are randomly chosen without replacement from a group of 2 women and 2 men, there are a total of 4C₃ = 4 possible outcomes, which we can list as follows:

WWx (two women and one of either gender)

WMx (one woman, one man, and one of either gender)

MWx (one man, one woman, and one of either gender)

MMx (two men and one of either gender)

In each of these outcomes, x represents the number of times a woman is selected. We can see that the possible values of x are 0, 1, 2, and 3, depending on which outcome occurs.

In outcome 1 (WWx), a woman is selected twice, so x = 2.

In outcomes 2 (WMx) and 3 (MWx), a woman is selected once, so x = 1.

In outcome 4 (MMx), no women are selected, so x = 0.

Therefore, the possible values of x are 0, 1, 2, and 3.

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Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.

  Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.

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Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

Answer:

\(2x^2 - 14x + 24\)

Step-by-step explanation:

Answer:

\((2x - 6)(x - 4) \\ 2 {x}^{2} - 8x - 6x + 24 \\ 2 {x}^{2} - 14x + 24 \\ thank \: you\)

Answer:

125 over 343 as a fraction and 0.364431 as a decimal

Step-by-step explanation:

hope this helps dont know if its right

Answer:

125/343

Step-by-step explanation:

Answer:

depends on the cases. they all have different uses

Therefore, Tao's restaurant can wait a maximum of about 6.89 weeks before placing another order to maintain the desired level of rice on hand.

Tao's restaurant orders 400-pound bags of rice.
They use 45 pounds of rice per week.
Tao wants to have at least 2 weeks' worth of rice (2 x 45 pounds = 90 pounds) on hand in case of emergencies.
Now, let's determine the maximum time they can wait before ordering another bag of rice.
Subtract the 2 weeks' worth of emergency rice from the total amount in a bag: 400 pounds - 90 pounds = 310 pounds.
Divide the remaining rice (310 pounds) by the weekly usage (45 pounds): 310 / 45 ≈ 6.89 weeks.

Therefore, Tao's restaurant can wait a maximum of about 6.89 weeks before placing another order to maintain the desired level of rice on hand.

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The required percentage change in the baby's weight is 15%.

To calculate the percentage change in the baby's weight, we'll use the following formula: Percentage Change = (Final Weight - Initial Weight) / Initial Weight × 100%.

1) The weight of a baby increased from 4.4kg to 5.06kg. Calculate the percentage change.

Step 1: Identify the initial weight (4.4 kg) and the final weight (5.06 kg).

Step 2: Subtract the initial weight from the final weight: 5.06 kg - 4.4 kg = 0.66 kg.

Step 3: Divide the difference (0.66 kg) by the initial weight (4.4 kg): 0.66 kg / 4.4 kg = 0.15.

Step 4: Multiply the result (0.15) by 100% to get the percentage change: 0.15 × 100% = 15%.

The percentage change in the baby's weight is 15%.

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Hello and Good Morning/Afternoon!

To determine whether a sequence is arithmetic or geometric:

   ⇒ must consider their definitions

Let's test out this sequence to see what kind of sequence it is:

             3 ⇒ 4, 3 + 1  

             4 ⇒ 7, 4 + 3

             7 ⇒ 11, 7 + 4

              NOT AN ARITHMETIC SEQUENCE

              3 ⇒ 4,  3 * (4/3)

              4 ⇒ 7,  4 * (7/4)

              7 ⇒ 11,  7 * (11/7)

               NOT AN GEOMETRIC SEQUENCE

Answer: Neither arithetic nor geometric

Hopefully that helps!

The value of angle Z is 81°. Thus, option C is correct.

Given that the value of angle A is 32° and the value of angle B is 67°. We need to find the value of angle Z. Before solving the question let us have a quick glance over the concept of angle sum property.

Angles sum property states that the sum of angles of a triangle is 180°.  

A + B + Z = 180°Now substituting the given values in the equation we get,32° + 67° + Z = 180°⇒ 99° + Z = 180°Now we will transfer the constant term to the RHS.99° + Z - 99° = 180° - 99°⇒ Z = 81°

In order to solve the question, we have used the concept of the angle sum property. This property is used to find the sum of angles in a triangle. Any triangle has three angles and the sum of these three angles is always equal to 180°.

This concept helps us to form equations for the given values of angles. Further, these equations can be solved to find the unknown angles in the triangle.

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The place where the company should place the tower should be the circumcenter of the area.

The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.

To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.

These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.

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But for a tree house my guess is that the floor boards are in metre

My reason is because the height of a person is metres perharps inches or cm but for ease of measurement steel tapes graduated in meter can be used to measure the floor boards

Answer:

57472

Step-by-step explanation:

Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

The area of triangle ABC with vertices is 22 square units

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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The percentage of scores between 81 and 119 is given as follows:

68%.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable:

81 and 119 are within one standard deviation of the mean, hence the percentage is of 68%.

The problem asks for the percentage of scores between 81 and 119.

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Answer:

Step-by-step explanation:

si...  yono  em usho de cmopu preo sloo estoy usand una jjssjsjsj jsjsj  c

Answer:

for every x the y moves -4

Step-by-step explanation:

Answer:

b. 31.

Step-by-step explanation:

The other 2 angles in the triangle are congruent so they are:

(180 - 118) / 2

= 31 degrees.

The possible measure of two similar angles in an isosceles triangle could be b. 31 °

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.

We also know that the sum of all the interior angles in a triangle is 180°.

Let, The similar angles be 'x'.

Therefore,

x + x + 118 = 180

2x = 62.

x = 31°.

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Answer: A

Step-by-step explanation:

For II,  when the numerator is expanded, it contains terms of ab and a^2 which makes it a quadratic function, not an algebraic function.

For III, tricky one. The a can be cancelled out in the numerator and denominator and the resulting fraction is (b-3)/3. However, this can be further simplified to 1/3b - 1, which makes it not an algebraic fraction anymore.

You have the following expression:

In order to express the previous number as an expression with the imaginary unit, you consider the following:

where the square root of -1 is the imaginary unit i by definition. Thus, by replacing you obtain:

Hence, the given expression in terms of the imaginary unit is :

The correct answer is option A

Answer:

$247.37

Step-by-step explanation:

The total dinner bill with a tip for the large party is $177.90.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.

Gratuity = bill x 0.2

Gratuity = 148.25 x 0.2

Apply the multiplication operation, and we get

Gratuity = 29.65

To find the total bill, we add the gratuity to the original bill.

Total bill = bill + gratuity

Total bill = 148.25 + 29.65

Apply the addition operation, and we get

Total bill = $177.90

Hence, the total dinner bill with a tip for the large party is $177.90.

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The measure of angle ITE is 44 degrees. In a kite, the diagonals intersect at a right angle and bisect each other. Let's label the points in the kite as follows:

Point P is the intersection of the diagonals.

Point K is at one end of the kite.

Point E is at the other end of the kite, opposite to point K.

Point I is between points K and P.

Point T is between points E and P.

Since the diagonals bisect each other, we know that IP = KP and EP = TP. Let's use this fact to find the measure of angle ITP, which is equal to ITE:

We know that angle KIP = 46 degrees.

Since IP = KP, angle KIP is isosceles, so angle KPI is also 46 degrees.

Similarly, since KEP = 34 degrees, we know that angle KPE is also 34 degrees.

Since EP = TP, angle EPT is also 34 degrees.

We also know that angles KPI and EPT add up to 90 degrees, since they are complementary angles formed by the intersection of perpendicular lines.

Therefore, angle IPT is 90 - 46 = 44 degrees.

Since IP = TP, angles ITP and IPT are congruent, so angle ITP is also 44 degrees.

Therefore, the measure of angle ITE is 44 degrees.

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Answer:

I think the answer is liner

The given function for the question is: `fx = 2x + 3y`, `fy = 3x`, `fy(-2, 2) = -6`, and `f,(4, 5) = 76` for the question.

Given function: `f(x, y) = \(x^2 + 3xy`\)

A function in mathematics is a relation that links each input value from one set, known as the domain, to a certain output value from another set, known as the codomain. A rule or mapping between the two sets is represented by it. The usual notation for a function is f(x) or g(x), where x is the input variable.

Applying a specific operation or formula to the input yields the function's output value. Graphically, functions can be shown as curves or lines on a coordinate plane. They are vital to modelling real-world phenomena, resolving equations, analysing data, and comprehending mathematical concepts and relationships. They are fundamental to many fields of mathematics.

Now, let's find `fx`:`fx = 2x + 3y` (By applying partial differentiation with respect to `x`.)Now, let's find `fy`:`fy = 3x`

(By applying partial differentiation with respect to `y`.)Now, let's find `fy(-2, 2)`:Putting `x = -2` and `y = 2` in `fy = 3x`, we get: `fy(-2, 2) = 3(-2) = -6`Now, let's find `f,(4,5)`:

Putting `x = 4` and `y = 5` in the given function, we get in terms of equation:

\(`f(4, 5) = (4)^2 + 3(4)(5)``= 16 + 60``= 76`\)

Therefore, `fx = 2x + 3y`, `fy = 3x`, `fy(-2, 2) = -6`, and `f,(4, 5) = 76`.

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