|6/-a - 2| = 25

The straight lines are absolute value and that’s my best attempt at making a fraction for “6/-a”

Step-by-step explanation:

cot ( 90⁰ - 30⁰ )

cot (90 - √3)

√3 - 90

 By the property of alternate interior angles, Option (1) is the correct statement.    

  ∠XWY ≅ ∠ZYW

   Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent.

By this property,

Lines XW and YZ are the parallel lines intersected by a transversal WY.

Here, ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.

Therefore, interior alternate angles ∠XWY and ∠ZYW will be congruent.

Hence, Option (1) will be the correct option.

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The purpose of random sampling is to select a set of items from a population such that the sample description accurately represents the population.

Random sampling is a type of sampling in which the researcher randomly selects a subset of participants from a population. Each member of the population has an equal chance of being selected. Data is then collected from as high a percentage of this random subset as possible. Simple random sampling selects a smaller group (sample) from a larger group of the total number of participants (population).

Samples are at the heart of survey research. It is often called the population microcosm, and the process of drawing a sample should maximize the similarity of the sample to the population under study. Sampling is therefore the selection of a set of elements from a population whose description accurately describes the parameters of the total population from which the sample is selected.

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First, calculate the average of the data set. Then, calculate the deviations of each data point from the mean and square the result of each. Next, calculate the mean of those values, which gives us the variance of the data set. Finally, take the square root of the variance, which gives us the standard deviation.

The average of the data set, is:

The squares of the deviations of each data point, are:

The variance of the data set is:

The standard deviation of the data set, is:

To the nearest hundredth, the standard deviation is 6.18.

Therefore, the answer is:

When 3 is the input, the output is 10. When 10 is the input, the output is 15.

It should be noted that the input for the function is time, measured in hours. The output of the function is energy usage, measured in kilo watts.

From the information, the energy usage of a light bulb is a function. The input for the function is time measured in hours. The output of the function is energy usage, measured in Kilo watts. E (energy) is a function of t (time).

The graph of the function will show energy usage on the y axis and time on the x axis.

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Answer:

Because you cant combine unlike terms. And the goal is to get X by itself.

-9 is the answer

Step-by-step explanation:

Step-by-step explanation:

How do you calculate number of successes?

Example:

Define Success first. Success must be for a single trial. Success = "Rolling a 6 on a single die"

Define the probability of success (p): p = 1/6.

Find the probability of failure: q = 5/6.

Define the number of trials: n = 6.

Define the number of successes out of those trials: x = 2.

Binomial probability distribution for the given set of data is

\(\ 100C_{x\)\(( 0.20)^{x} (0.80)^{100-x}\).

"Binomial probability distribution is the representation of  a probability with only two outcomes success and failure under given number of trials."

Formula used

Binomial probability distribution is given by

\(\\n{C}_{x}p^{x}q^{n-x}\)

n= number of experiments

x = 0, 1, 2, 3,.......

p = probability of success

q = probability of failure

According to the question,

Number of trials  'n' = 100

Probability of success 'p' = (20 / 100)

                                          = 0.20

Probability of failure 'q' = 1 - p

                                      = 1 - (20/100)

                                      =  (80 / 100)

Substitute the value in the formula we get

Required probability =  \(\ 100C_{x\)\(( 0.20)^{x} (0.80)^{100-x}\)

Example:

Tossing a coin 6 times getting exactly two heads.

Number of trials 'n' = 6

Number of heads 'x' =2

Only two possible outcomes head or tail

Probability of getting head 'p' = 1 / 2

Probability of not getting head 'q' = 1 /2

Required probability = \(\ 6C_{2\) (1/2)²(1/2) ⁶⁻²

                                  =\(\ 6C_{2\) (1/2)⁶

Hence, binomial probability distribution for the given set of data is

\(\ 100C_{x\)\(( 0.20)^{x} (0.80)^{100-x}\)

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For part a, the vector x can be expressed as a linear combination of a1 and a2 as x = -a1 - 2a2. For parts b, c, d, no linear combination of the given vectors can express x. For part e, x = a1 - 2a2 + 2a3 with constants k1=1, k2=-2, and k3=2.

To express x=(-3,-6) as a linear combination of a1=[1,4] and a2=[-2,3], we need to find constants k1 and k2 such that x = k1 * a1 + k2 * a2. Solving for k1 and k2, we get:

-3 = k1 * 1 + k2 * (-2)

-6 = k1 * 4 + k2 * 3

Solving this system of equations, we get k1=-6 and k2=1. Therefore, x can be expressed as:

x = -6 * [1,4] + [ -2,3] = [-8, 9]

x = -a1 - 2a2

To express x=[5,9,5) as a linear combination of a1=[2,1,4), a2=[1,-1,3), and a3=[3,2,5), we need to find constants k1, k2, and k3 such that x = k1 * a1 + k2 * a2 + k3 * a3. Solving for k1, k2, and k3, we get:

5 = k1 * 2 + k2 * 1 + k3 * 3

9 = k1 * 1 - k2 * 1 + k3 * 2

5 = k1 * 4 + k2 * 3 + k3 * 5

Solving this system of equations, we get k1=1, k2=0, and k3=1. Therefore, x can be expressed as:

x = 1 * [2,1,4] + 0 * [1,-1,3] + 1 * [3,2,5] = [5,3,9]

To express x=[2,-1,4) as a linear combination of a1=[3,6,2] and a2=[2,10,-4], we need to find constants k1 and k2 such that x = k1 * a1 + k2 * a2. Solving for k1 and k2, we get:

2 = k1 * 3 + k2 * 2

-1 = k1 * 6 + k2 * 10

4 = k1 * 2 + k2 * (-4)

This system of equations has no solution, since the second equation implies that k2 is negative, but the third equation implies that k2 is positive. Therefore, x cannot be expressed as a linear combination of a1 and a2.

To express x=(2,2,3] as a linear combination of a1=[6,-2,3), a2=[0,-5,-1), and a3=[-2,1,2], we need to find constants k1, k2, and k3 such that x = k1 * a1 + k2 * a2 + k3 * a3. Solving for k1, k2, and k3, we get:

2 = k1 * 6 + k2 * 0 + k3 * (-2)

2 = k1 * (-2) + k2 * (-5) + k3 * 1

3 = k1 * 3 + k2 * (-1) + k3 * 2

Solving this system of equations, we get k1=1, k2=1, and k3=1. Therefore, x can be expressed as:

x = 1 * [6,-2,3] + 1 * [0,-5,-1] + 1 *[-2,1,2]

To express x = [17,2,3], as linear combination of a1 = [1, -2,3), a2 = [5, -2,6], a3 = [4,0,3], We need to find constants k1, k2, and k3 such that:

x = k1a1 + k2a2 + k3*a3

Substituting the given values:

[17, 2, 3] = k1[1, -2, 3] + k2[5, -2, 6] + k3[4, 0, 3]

This gives us the following system of linear equations:

k1 + 5k2 + 4k3 = 17

-2k1 - 2k2 = 2

3k1 + 6k2 + 3k3 = 3

Solving for k1, k2, and k3, we get:

k1 = 1, k2 = -2, k3 = 2

Therefore, we can express x as a linear combination of a1, a2, and a3 as:

x = a1 - 2a2 + 2a3

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Answer:

There are no pictures to explain what  L is

Step-by-step explanation:

The result of the equation 4 x + 2 + x = x – 19 is - 5.25.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables.

Given equation -

4 x + 2 + x = x – 19

Simplify the equation

5x + 2 = x - 19

5x - x = -19 - 2

4x = -21

x = -21 / 4

x = -5.25

Hence, -5.25 is the answer to the equation 4 x + 2 + x = x - 19.

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Answer:

7.88  by  − 1.5 = − 11.82

Step-by-step explanation:

Multiply the two

Fiona must deposit  $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.

percentage, a relative value indicating hundredth parts of any quantity.

The present value of an annuity is:

PV = PMT x [(1 - (1 + r)⁻ⁿ) / r]

Where PV is the present value,

PMT is the periodic payment

r is the interest rate per period (6% per year), and

n is the number of periods (20 years).

We want to find PMT, so we can rearrange the formula to solve for it:

PMT = PV x [r / (1 - (1 + r)⁻ⁿ)]

We know that PV is $600,000, r is 6% or 0.06, and n is 20.

Plugging these values into the formula, we get:

PMT = $600,000 x [0.06 / (1 - (1 + 0.06)⁻²⁰)]

PMT ≈ $18,277.65

Therefore, Fiona must deposit  $18,277.65 into her retirement account each year for the next 20 years in order to have a total of $600,000 by the time she retires.

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The zeros of a polynomial function are the roots of the polynomial function.

See below for the proof that: \(\mathbf{f(-\frac{4}{3}) = 0}\)

Let the function be f(x).

Equate 3x + 4 to 0.

So, we have:

\(\mathbf{3x+ 4 = 0}\)

Subtract 4 from both sides

\(\mathbf{3x= -4}\)

Divide both sides by 4

\(\mathbf{x= -\frac{4}{3}}\)

The above equation means that:

If 3x + 4  is a factor of f(x), then:

\(\mathbf{f(-\frac{4}{3}) = 0}\)

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Step-by-step explanation:

yhcugchvhv hyddd wasppp

Answer:

iuytfjgfgjhgyjuhguyhgvgfcfgcjhgvyhjnbm

Step-by-step explanation:

Step- by- step explanation

Answer:

Step-by-step explanation:

2nd one because if you use logic it works

btw this is a real answer

(a) Correct answer is Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis greater than or equals 10.

(b) The value of P (X ≥ 770) is 0.0143.

(c) The value of P (X ≤ 720) is 0.0708.

Let X = number of elements with a particular characteristic.

The variable p is defined as the population proportion of elements with the particular characteristic.

The value of p is:

p = 0.74.

A sample of size, n = 1000 is selected from a population with this characteristic.

(a)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

               μ = p

The standard deviation of this sampling distribution of sample proportion is:

                  σ = \(\sqrt \frac{p(1-p)}{n}\)

The sample selected is of size, n = 1000 > 30.

Thus, according to the central limit theorem the distribution of  is Normal, i.e. .

p~ N(μ = 0.74, σ =0.0139)

Thus the correct option is (A).

(b) We need to compute the value of P (X ≥ 770).

Apply continuity correction:

P (X ≥ 770) = P (X > 770 + 0.50)

                  = P (X > 770.50)

Then,

   p > 770.5/1000 = 0.7705

Compute the value of  P( p > 0.7705) as follows:

P( p > 0.7705) = P(p -μ/σ > 0.7705 - 0.74/0.0139)

                       = P( Z > 2.19)

                       = 1 - P( Z< 2.19)

                       = 1 - 0.98574

                       = 0.01426

                       ≈ 0.0143

Thus, the value of P (X ≥ 770) is 0.0143.

(c)

We need to compute the value of P (X ≤ 720).

Apply continuity correction:

P (X ≤ 720) = P (X < 720 - 0.50)

                  = P (X < 719.50)

Then

Compute the value of  as follows:

P( p < 0.7195) = P(p -μ/σ > 0.7705 - 0.74/0.0139)

                       = P(Z < - 1.47)

                       = 1 - P(Z < 1.47)

                       = 1 - 0.92922

                       = 0.07078

                        ≈ 0.0708

Thus, the value of P (X ≤ 720) is 0.0708.

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Answer:

96730322328

Step-by-step explanation:

I hope this helps

Answer:

number multiplied by itself

Step-by-step explanation:

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, - 5 )

m = \(\frac{-5-9}{-2-(-2)}\) = \(\frac{-14}{-2+2}\) = \(\frac{-14}{0}\)

Since division by zero is undefined then the slope is undefined

In summary $4,858 is invested at 11% and $1,686 is invested at 8%.

Let's start by using algebra to represent the problem.

Let x be the amount invested at 11% and y be the amount invested at 8%.

We know that the total amount invested is $6,544, so:

x + y = 6,544

We also know that the interest earned from the amount invested at 11% exceeds the interest earned from the amount invested at 8% by $399.50. This can be written as:

0.11x - 0.08y = 399.50

Now we have two equations with two variables. We can use substitution or elimination to solve for x and y. Here, we'll use substitution. Solving the first equation for y, we get:

y = 6,544 - x

Substituting this into the second equation, we get:

0.11x - 0.08(6,544 - x) = 399.50

Simplifying and solving for x, we get:

0.11x - 523.52 + 0.08x = 399.50

0.19x = 923.02

x = 4,858

So $4,858 is invested at 11%. To find the amount invested at 8%, we can substitute this value into the first equation:

4,858 + y = 6,544

y = 1,686

Therefore, $4,858 is invested at 11% and $1,686 is invested at 8%.

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The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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The equation of a line that represents the table is; y = 6x - 5.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b. Where slope = m and b = y-intercept.

Since we know that the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

To find the linear equation first we need slope;

(m) = (y₂ - y₁)/(x₂ - x₁)

= (1 + 11)/(1 + 1) = 12/2

m = 6.

Now, we have to take any one of these coordinate points and construct an equation in slope-intercept form;

- 11 = 6(-1) + b.

- 11 = - 6 + b.

b = - 5.

Therefore,  y = 6x - 5 is our equation. the correct table represent a linear relationship is 2nd.

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Step-by-step explanation:

hii, im good and ur the best. thank uuuu oncemore..

Answer:

P=7

Step-by-step explanation:

P=x-y

 =-12-(-19)

 =-12+19

 =7

Answer:

6 ft

Step-by-step explanation:

Since the shape of the cables on the bridge are to open up, the standard equation of the parabola produced is given as:

(x - h)² = 4p(y - k)

Where (h, k) is the vertex and focus is at (h, k+p)

From the question, the point (0, 2) is the vertex and point (50, 27) lie on the parabola. Hence:

(x - 0)² = 4p(y - 2)

x² = 4p(y - 2).

Sinc the tower is 100 ft apart and 27 ft height, hence the point 100/2 = 50 ft and 27 ft lie on the parabola

To find p, use (50, 27)

50² = 4p(27 - 2)

2500 = 4p(25)

100p = 2500

p = 25

hence:

x² = 4(25)(y - 2)

x² = 100(y - 2)

At a point of 20 feet (i.e x = 20), y is the height of the cable, hence:

20²=100(y-2)

400 = 100y - 200

100y = 600

y = 6

The height is 6 ft at a point of 20 ft

Answer:

yes cause its in a form of y=mx+b

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

I got to K-12 and this was correct

in this problem x equals 10

Step-by-step explanation:

jd

Answer:

13

Step-by-step explanation:

Answer:

amar makes 8 dollars per hour

Step-by-step explanation:

to find the number of hours of work amar does you have to divide the total amount earned by the number of hours worked

64/8 = 8

every hour amar makes 8 dollars, $8 x 8 hours = $64