Find the zero for the function:

( 3 x + 7 ) ( x - 5 ) = 0​

Answer: See attached for the graph. There is an undefined slope and no y-intercept.

Step-by-step explanation:

      See attached for a graph. Since this is only greater than, (>) we will use a dashed line. Then we will shade everything greater than -4.

      The slope of this graph is undefined because this line is straight up and down. If we try to write it as an equation, you end up dividing by zero (which ends up undefined)

      Lastly, there is no y-intercept. Since this line does not cross the y-axis, there is no point of intersection.

The solution for the linear equation is:

a = 1/4.

I believe we have the linear equation:

(a + 2)/3 = 3/4

To solve this, we need to isolate the variable a in one of the sides of the linear equation, to do so, we can start by multiplying both sides by 3.

3*(a + 2)/3 = 3*(3/4)

a + 2= 9/4

Now we can subtract 2 in both sideS:

a + 2 - 2 = 9/4 - 2

a = 9/4 - 8/4 = 1/4

a = 1/4

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To find the value of the constant k that makes the function continuous at x=4, we need to check the limit of the function from both sides of x=4 and equate them.

Limit from x<4:
g(x) = 22² – 5x - 12, if x #4
g(x) = x-4 kx - 13, if x = 4

Therefore, the limit from x<4 is:

lim (x->4-) g(x) = lim (x->4-) (22² – 5x - 12) = 22² – 5(4) - 12 = 462 - 32 = 430

Limit from x>4:
g(x) = x-4 kx - 13, if x = 4
g(x) = 22² – 5x - 12, if x #4

Therefore, the limit from x>4 is:

lim (x->4+) g(x) = lim (x->4+) (x-4 kx - 13) = 4-4k-13 = -9-4k

Since the function is continuous at x=4, the two limits must be equal:

lim (x->4-) g(x) = lim (x->4+) g(x)
430 = -9-4k

Solving for k, we get:

k = (-9-430)/(-4) = 109.75

Therefore, the value of the constant k that makes the function continuous at x=4 is k=109.75.

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Therefore, Diego has 1.8 kilograms of carrots left.

Diego initially had 3 kilograms of carrots. He used 0.8 kilograms for the soup and 0.4 kilograms (400 grams) for the carrot cake.

So the total amount of carrots he used is:

0.8 + 0.4 = 1.2 kilograms

To find out how many kilograms of carrots he has left, we can subtract the amount he used from the initial amount:

3 - 1.2 = 1.8 kilograms

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Answer:

33π FT^2

Step-by-step explanation:

A=πr(r+(h2+r2)^1/2)

= π3(3+8)

=33π

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

The value for P(A | B) is 0.3 for P(B | A) is 0.2, P(A | A U B) is 0.625 and P(A | A ∩B) is 0.33

Total number of events = A and B

P(A) = 0.5

P(B) = 0.3

P(A ∩B) = 0.1,

The given questions will be solved by the concept of conditional probability

a.

P(A | B)

= P(A ∩ B) / P(B)

= 0.1 / 0.3 = 1/3 or 0.33.

b.

P(B | A)

= P(A ∩ B) / P(A)

= 0.1 / 0.5

= 1/5 or 0.2.

c.

P(A | A U B)

= P(A ∩ (A U B)) / P(A U B)

= P(A) / P(A U B)

= 0.5 / (0.5 + 0.3 - 0.1)

= 0.625

d.

P(A | A ∩B) = P(A ∩ B) / P(B)

= 0.1 / 0.3

= 1/3 or 0.33.

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The technique chuck used to relate indicators to outcomes is called Regression analysis.

It is used for the estimation of the variables that are dependent and independent. These are a set of statistical methods. It is used for modelling the relationship between the variables. It is used to predict the value of the dependent variable for the individuals.

The two types of Regression analysis are:

1.Linear Regression

2.Logistic Regression

It is used to determine the nature of the data. It is the way of mathematically sorting out the variables. It is a way to find the trends in the data. It is used in finance, investing and other disciplines that determines the strength of the variables.

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Answer:

2 2/9

Step-by-step explanation:

So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9

And that is how to do it.

Answer: 2 8/36 or 2 2/9 (simplified)

HOPE THIS HELPS :)))

Answer:

  a. 3/2 meters

  b. 15/4 times as great

Step-by-step explanation:

You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.

The formula for the area of a rectangle is ...

  A = LW

Filling in the known values, we can solve for the length:

  3/5 m² = (2/5 m)·L

  L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L

The length of the rectangle is 3/2 meters.

The ratio of length to width is ...

  length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4

The length is 15/4 times greater than the width.

Answer:13

Step-by-step explanation:

Answer:

13 cm

Step-by-step explanation:

If angle MAT is congruent to XYZ, then AT and YZ would have the same measure, 13 cm

In summary, to meet the 25% rate of return requirement, you would need to sell the foreclosed home for $171,633.33, considering the acquisition costs, holding period costs, and expected sales costs. This selling price ensures a 25% rate of return on the investment in the foreclosed home.

To earn a 25% rate of return on the investment in a foreclosed home, you would need to sell the property for $171,633.33. This calculation takes into account the various costs associated with acquiring, holding, and selling the property. The acquisition costs amount to $18,500, the holding period costs add up to $73,000, and the expected sales costs are $7,500. These costs, along with the borrowed amount of $110,000, form the initial investment. To achieve a 25% rate of return, the selling price must cover the initial investment plus the desired return.

The initial investment consists of the borrowed amount of $110,000 plus the acquisition costs of $18,500, resulting in a total of $128,500. The holding period costs are $73,000, which is the sum of the monthly costs ($6,083.33) over the one-year period. Adding the expected sales costs of $7,500 to the initial investment and holding period costs gives a total of $209,000. To achieve a 25% rate of return on this investment, the selling price should be calculated as 1.25 times the initial investment. Thus, multiplying $209,000 by 1.25 yields $261,250. To determine the selling price, the amount borrowed ($110,000) needs to be subtracted from the calculated value, resulting in $171,633.33. This selling price ensures a 25% rate of return on the investment in the foreclosed home.

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The estimator of the form ∑aiWi has minimum variance when the values of ai are chosen such that ∑ai = 1, and ai = θ / (σi² + θ∑j≠i(1/σj²)), where θ is the true parameter value, σi² is the variance of Wi, and i ranges from 1 to k. This estimator is also unbiased, and hence, it is the best linear unbiased estimator (BLUE) of the parameter θ.

(a) To show that the estimator of the form \sum a_{i} W_{i} has minimum variance, we need to minimize its variance, which is given by:

\begin{aligned} \operatorname{Var}\left(\sum a_{i} W_{i}\right) &= \sum_{i=1}^{k} \sum_{j=1}^{k} a_{i} a_{j} \operatorname{Cov}(W_{i},W_{j}) \\ &= \sum_{i=1}^{k} a_{i}^{2} \operatorname{Var}(W_{i}) + 2 \sum_{i=1}^{k} \sum_{j=1}^{i-1} a_{i} a_{j} \operatorname{Cov}(W_{i},W_{j}) \\ &= \sum_{i=1}^{k} a_{i}^{2} \operatorname{Var}(W_{i}) + 2 \sum_{i=1}^{k} \sum_{j=1}^{i-1} a_{i} a_{j} \theta \\ &= \sum_{i=1}^{k} a_{i}^{2} \sigma_{i}^{2} + 2 \theta \sum_{i=1}^{k} \sum_{j=1}^{i-1} a_{i} a_{j} \\ &= \sum_{i=1}^{k} \sigma_{i}^{2} a_{i}^{2} + 2 \theta \sum_{i=1}^{k} \sum_{j=i+1}^{k} a_{i} a_{j} \end{aligned}

To find the minimum variance, we need to find the values of a_{1},...,a_{k} that minimize the above expression subject to the constraint \sum_{i=1}^{k} a_{i} = 1. We can use Lagrange multipliers to solve this constrained optimization problem:

\begin{aligned} L(a_{1},...,a_{k},\lambda) &= \sum_{i=1}^{k} \sigma_{i}^{2} a_{i}^{2} + 2 \theta \sum_{i=1}^{k} \sum_{j=i+1}^{k} a_{i} a_{j} + \lambda(\sum_{i=1}^{k} a_{i} - 1) \\ \frac{\partial L}{\partial a_{i}} &= 2 \sigma_{i}^{2} a_{i} + 2 \theta \sum_{j \neq i} a_{j} + \lambda = 0 \\ \frac{\partial L}{\partial \lambda} &= \sum_{i=1}^{k} a_{i} - 1 = 0 \end{aligned}

Solving these equations gives us:

a_{i} = \frac{\theta}{\sigma_{i}^{2} + \theta \sum_{j \neq i} \frac{1}{\sigma_{j}^{2}}}

Substituting these values of a_{i} into the expression for the variance, we get:

\operatorname{Var}(W^{*}) = \frac{1}{\sum_{i=1}^{k} \frac{1}{\sigma_{i}^{2}}}

Therefore, the estimator W^{*} has minimum variance among all estimators of the form \sum a_{i} W_{i} with constant a_{i} subject to the constraint \sum_{i=1}^{k} a_{i} = 1.

(b) To show that \mathrm{E}_{\theta}\left(\sum a_{i} W_{i}\right)=\theta, we can use linearity of expectation:

\begin{aligned} \mathrm{E}_{\theta}\left(\sum_{i=1}^{k} a_{i} W_{i}\right) &= \sum_{i=1}^{k} a_{i} \mathrm{E}_{\theta}(W_{i}) \\ &= \sum_{i=1}^{k} a_{i} \theta \\ &= \theta \sum_{i=1}^{k} a_{i} \\ &= \theta \end{aligned}

Therefore, the estimator W^{*} is unbiased.

Overall, the estimator W^{*} is the best linear unbiased estimator (BLUE) of the parameter \theta, since it has minimum variance among all linear unbiased estimators.
(a) To show that the estimator of the form ∑aiWi has minimum variance, consider the variance of the estimator:

Var(∑aiWi) = ∑∑aiCov(Wi, Wj)aj
= ∑ai²Var(Wi) + ∑∑θaiaj for i ≠ j

Since Var(Wi) = σt², the equation becomes:

Var(∑aiWi) = ∑ai²σt² + ∑∑θaiaj for i ≠ j

To minimize this variance, we can find the optimal ai by taking the partial derivative with respect to ai and set it to 0:

∂[Var(∑aiWi)] / ∂ai = 2aiσt² + ∑θaj for j ≠ i = 0

This shows that, of all estimators of the form ∑aiWi, the estimator has minimum variance.

(b) To show that Eθ(∑aiWi) = θ, note that each Wi is an unbiased estimator of θ:

Eθ(Wi) = θ for i = 1, ..., k

Therefore,

Eθ(∑aiWi) = ∑aiEθ(Wi) = ∑aiθ = θ∑ai

Since ∑ai = 1, we have Eθ(∑aiWi) = θ.

The estimator W* can be defined as:

W* = ∑(wi / σi²) / (∑(1 / σi²))

And the variance of W* is:

Var(W*) = 1 / ∑(1 / σi²)

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Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

Answer:

= 3x + 15

Step-by-step explanation:

7x + 6 - 4x + 10

= 3x + 15

Answer:

Step-by-step explanation:

7x+6-4x+10

= (7x-4x)+(6+10)

= 3x+16

The height of the rectangular prism. given its volume and base area is (3x³ + 16x² + 5x) / (x² + 5x) units.

Volume of a rectangular prism = Base area × height

Height = Volume of a rectangular prism ÷ Base area

3x³ + 16x² + 5x cubic units = (x² + 5x) square units × h

h = (3x³ + 16x² + 5x) cubic units ÷ (x² + 5x) square units

h = (3x³ + 16x² + 5x) / (x² + 5x) units

Therefore, the height of the rectangular prism. given its volume and base area is (3x³ + 16x² + 5x) / (x² + 5x) units.

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Answer:

Step-by-step explanation:

perp. -8

y + 5 = -8(x - 1)

y + 5 = -8x + 8

y = -8x + 3

Step-by-step explanation:

the orginal price was$90 because she paid $8 less than the actual price so 82 plus8 =90

Answer:

Paula's ski jacket originally cost $180

Step-by-step explanation:

First we write an equation for this problem

x = original price

\(\frac{1}{2}x-8=82\)

\(\frac{1}{2}x=90\)

Multiply by 2 on both sides

\(2*\frac{1}{2}x=2*90\)

\(x=180\)

Paula's ski jacket originally cost $180

Have a nice day!

Please mark as brainiest if it worked or ask me a question if you do not understand :)

Answer:

mandatory pay raises

Step-by-step explanation:

The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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Answer:

See below.

Step-by-step explanation:

7j=91

/7   /7

j=13

-hope it helps

Answer:

j = 13

Step-by-step explanation:

product means numbers are multiplied , so

7j = 91 ← is the equation ( divide both sides by 7 )

j = 13

The number of seconds after which the ball will hit the ground will be: 0.022 seconds when rounded to the nearest tenth.

To find the length of time, the question first requires that we obtain the values for g, Vo and H. We will proceed by using the kinematic equation that makes a relationship between the vertical displacement of an object, its initial velocity, acceleration due to gravity, and time:

y = Vo*t + (1/2)gt^2.

To obtain the value of g, we will use the value of acceleration due to gravity, which is approximately 32 ft/s^2.

Also, to find Vo, we use the initial velocity of the ball, which is 64 ft/s, and for the value of H, we use the initial vertical displacement of the ball, which is 12 ft.

When we substitute all of these figures into the first equaltion, we will have:

-12 = 64t + (1/2)gt^2

Multiplying both sides by 2 and rearranging, we get:

g*t^2 + 128t - 24 = 0

Using the quadratic formula, we get:

t = (-128 ± sqrt(128^2 - 4g(-24)))/(2*g)

t = (-128 ± sqrt(16384 + 384))/64

t = (-128 ± sqrt(16768))/64

t = (-128 ± 129.4)/64

So, t = 1.4/64 or t = -257.4/64

The negative root does not align with the value of time in reality. Therefore, the time it takes for the ball to hit the ground is: t = 1.4/64 = 0.022 seconds.

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Answer:

9 units

Step-by-step explanation:

We know that the area of a square formula is:

\(A=x^{2}\)

We can substitute:

81=x²

take square root of both sides

√81=√x²

9=x

This means that each side is 9 units.

Hope this helps! :)

Answer:

37%

Step-by-step explanation:

Given parameters:

Total number  = 142 million

Comparing number  = 52.52 million

Unknown:

What percent is the number  =?

Solution

The percentage;

           = \(\frac{comparing number }{total number } x 100\)

          = \(\frac{52520000}{142000000}\) x 100

          = 37%

Answer:

dwadwdwa

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

To find out, we use the formula for direct variation:

A = kwh

Where A is the area, k is the constant of proportionality, w is the width, and h is the height.

From the information given, we can find k:

6 = k (4)(3)

6 = 12k

k = 0.5

So, the area when width is 6 and height is 4 is:

A = kwh = 0.5 (6)(4) = 9

Answer:

Step-by-step explanation:

Answer:

$15 dependant variable, month is the independent variable

Answer:

-3 =x

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines are parallel

2x+9 = 7x+24

Subtract 2x from each side

2x+9-2x = 7x+24-2x

9 = 5x+24

Subtract 24 from each side

9-24 = 5x

-15 = 5x

Divide by 5

-15/5 = 5x/5

-3 =x

The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

q = 1 - p = 1 - 0.10 = 0.90

Let x be a binomial random variable with p = 0.1 and n = 10.

The probabilities from the binomial probability mass function P(x ≤ 2) will be

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸

P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937

P(x ≤ 2) = 0.9298

Your question was incomplete but the complete question is given below.

Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.

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Answer:

It's 2.718 meters

Step-by-step explanation:

I looked up the basics of feet into meters and found it out