You are intereted in etimating the mean height of bear in the moky mountain. From pat data, you etimate that the tandard deviation to be 10 inche. Uing a 99% confidence level, what ample ize would you need in order to etimate the mean height of all bear in the Smokie within 4 inche of the actual height?

Firstly, you turn 2 2/3 into an improper fraction, which will become

=4/3

Lastly, you multiply them, which would be 11/2 x 4/3=22/3=7 1/3

Step-by-step explanation:

the answer will be

11 x 22 / 2x3

that will give us

242/6

reducing it to the lowest term by dividing it by two that will give us 121 / 3

121 / 3 will give us 40.33

By determining the value of x when y = 0, (x, 0), and the value of y when x = 0, respectively, the x-intercept and y-intercept are determined (0, y).

A two-variable equation with a line-shaped graph is referred to as a linear equation. A collection of coordinate plane points that are all the solutions to the linear equation make up the graph. If all of the variables have true numerical values, the equation can be graphed by first drawing a sufficient number of points to identify a pattern, then connecting those points to include all of the points.

A linear equation is represented in standard form as

Ax+By=C,A,B≠0

The equation for y must first be solved before you may graph a linear equation in its usual form.

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

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Answer:

x< -1

Step-by-step explanation:

you're welcome, I hope that helps

Answer:

\(x>-1\)

Step-by-step explanation:

We have the inequality:

\(-3x+3<6\)

Subtract 3 from both sides:

\(-3x<3\)

Divide both sides by -3. Since we are dividing by a negative, we must flip the inequality sign:

\(x>-1\)

Hence, our solution is all numbers greater than -1.

Answer:

Sphere

Step-by-step explanation:

its a sphere with a radius of 5

The solid three dimensional image that is produced from the rotation of the semicircle is called a sphere.

This is used to define the movement of an object in a three dimensional plane around a fixed point.

This transformation os known to occur in a given point of the figure. The roataion is done at a certain degree.

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The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

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Answer: 5/12

Step-by-step explanation: You need to find a common Denominator in this case it’s 12 so he has 8/12 gas’s and he used 3/12 he’s left with 5/12 gas’s left

Answer:

5 / 12

Step-by-step explanation:

2/3 = 8/12

1/4 = 3/12

8/12 - 3/12 = 5/12

Hope this helps!

The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer: -$525

Step-by-step explanation:

7x = how many times he withdrew money * how much money he withdrew.

7 * 75 = $525

Francis ended up removing $525 from his bank account, if we assume that he started off with $0- then the change would be -525 dollars.

answer

measure of o is 75

and n is same as o as the sides are same

hope this helps you

Answer:

Step-by-step explanation:

AB = a - given

BB₁ is the difference of the diagonal and side of the square with side a:

Each subsequent line segment is \(\sqrt{2}-1\) times the previous.

So we have a GP with the first term of a and common ratio of \(\sqrt{2}-1\).

The sum of the lengths is the sum of infinite GP:

So the sum is:

The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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Answer:

94/45

Step-by-step explanation:

Answer:

X=2

Step-by-step explanation:

There are a total of 600 Employees in the automotive company.

The total number of employees in the automotive company, we need to determine the proportion of employees working in each area.

Let's denote the total number of employees as "x". According to the given information:

- The proportion of employees working in auto parts assembly is 2/3 of the total. So, the number of employees in auto parts assembly is (2/3)x.

- The proportion of employees working in the washing area is 1/8 of the total. So, the number of employees in the washing area is (1/8)x.

- The proportion of employees working in the customer service area is 1/6 of the total. So, the number of employees in the customer service area is (1/6)x.

- The rest of the employees are executives, and the number of executives is given as 25.

We can set up an equation to represent the total number of employees:

(2/3)x + (1/8)x + (1/6)x + 25 = x

To solve this equation, we can simplify and solve for x:

[(16/24)x + (3/24)x + (4/24)x] + 25 = x

(23/24)x + 25 = x

25 = x - (23/24)x

25 = (1/24)x

x = 24 * 25

x = 600

Therefore, there are a total of 600 employees in the automotive company.

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Answer: 431 664.685 m2

Step-by-step explanation:

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers \(p\) and \(q\).

Then to find the ratio \(p:q\) , we need to divide p by q and represent it in the simplest form \(\frac{a}{b}\) such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

\(Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}\)

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

\(\dfrac{70}{28}\)

Now, let us divide the numerator and denominator by 14:

\(\dfrac{5}{2}\)

So, the ratio is 5 : 2

Answer:

30 degrees

Step-by-step explanation:

since the length of legs are equal the other angles will be equal

Each number is multiplied by 3 by the previous number.

So:

So, for the next number :

18,9 × 3 = 56,7

That's it. Thanks ^^

The population is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater is correct.

In this situation, the population refers to the entire group of individuals that are of interest to the survey. In this case, the population is the total number of people who go to the movie theater. The sample, on the other hand, refers to a subset of the population that is actually observed and surveyed. In this case, the sample is the first 150 people who entered the theater and were asked about their favorite type of movie.

It is important to note that the sample should be representative of the population in order to draw valid conclusions from the survey. This means that the individuals in the sample should be selected in a way that reflects the characteristics of the population as a whole.

In summary, the population in this situation is the total number of people who go to the movie theater, and the sample is the first 150 people at the theater who were asked about their favorite type of movie.

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Part a) The function’s equation written in vertex form is

   f(X) = 2(x - 2)² - 8

Part b) The function’s equation written in factored form is equal to

   f(x) = 2x(x - 4)

What is a simple definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output. A domain, codomain, or range exists for every function. A function is often represented by the notation f(x), where x represents the input.

The equation of a vertical parabola written in vertex form is equal to

     f(x) = a(x - h )² + k

where

a is a coefficient

(h,k) is the vertex

Looking at the graph

The vertex is the point (2,-8)

substitute

 f(x) = a( x - 2)²  - 8

Find the value of the coefficient a

take one point from the graph

(0,0)

substitute in the equation

 0 = a(0 -2)² - 8

 0 = 4a - 8

  a = 2

therefore

The function’s equation written in vertex form is

          f(x) = 2(x - 2)²- 8

Part b) What is the function’s equation written in factored form?

we know that

The equation of a vertical parabola written in factored form is equal to

  f(x) = a(x - x₁)(x- x₂)

where

a is a coefficient

x₁ and x₂ are the zeros or x-intercepts of the function

Remember that the x-intercept is the value of x when the value of the function is equal to zero

Looking at the graph

The zeros or x-intercepts of the function are

x=0 and x=4

so

 f(x) = a(x- 0)(x- 4)

 f(x) = ax(x - 4)

Find the value of the coefficient a

take one point from the graph

(2,-8)

substitute

 - 8 = a(2)( 2 - 4)

 - 8 = - 4a

   a = 2

therefore

The function’s equation written in factored form is equal to

   f(X) = 2x(x - 4)

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Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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The percentage of arrests for people who received Multisystemic Therapy (MST) can be calculated by dividing the number of individuals arrested in the MST group (87) by the total number of individuals.

Percentage of arrests for MST group = (87/215) * 100 ≈ 40.47%

To determine if therapy caused significantly fewer arrests at a 0.05 significance level, we need to compare this percentage with the percentage of arrests in the control group.

The percentage of arrests for the control group can be calculated in a similar manner by dividing the number of individuals arrested in the control group (74) by the total number of individuals in the control group (196), and multiplying by 100.

Percentage of arrests for control group = (74/196) * 100 ≈ 37.76%

Comparing the sample percentages, we find that the percentage of arrests for people who received MST (40.47%) is slightly higher than the percentage of arrests for the control group (37.76%).

To determine if this difference is statistically significant at a 0.05 significance level, we would need to perform a hypothesis test, such as a chi-square test, to compare the observed frequencies with the expected frequencies under the assumption that therapy has no effect on reducing arrests.

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The complete statement is: First graph the parabola. The zeros of the quadratic are 1, and 3, the vertex is (2, -1). Draw the parabola with a dashed line and shade the interior of the parabola

The quadratic inequality is given as:

y > x^2 −4x+3

We start by plotting the graph of the inequality.

This is represented by y > x^2 −4x+3

See attachment for the graph of the inequality y > x^2 −4x+3

From the attached graph, we have the following properties:

Hence, the complete statement is:

First graph the parabola. The zeros of the quadratic are 1, and 3, the vertex is (2, -1). Draw the parabola with a dashed line and shade the interior of the parabola

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Answer:

3x13=39

Step-by-step explanation:

ellie=13

kid 1=13

kid 2 =13

Answer:

3

Step-by-step explanation:

the vector somewhat looks like this:

 ^

_\|_             the angle is 135 degrees, and the x component is -3

    |               To find the y component given the direction angle and x component, use the formula y_comp = tan(angle) * x_comp

tan (135 degrees) * -3 = 3

You can also use the graph and geometry, but that method is not recommended for beginners as it is very easy to make a mistake. The graph should be used to check if your answer makes sense.