WILL MARK FIRST CORRECT ANSWER BRAINLIEST PLEASE HELP ASAP

The value of z for the probability statement is 0.8664.

To solve for z, we need to use a standard normal distribution table or a calculator with a built-in function for finding the inverse of the cumulative distribution function. The cumulative distribution function (CDF) is a function that gives the probability of a random variable being less than or equal to a certain value.

Using a standard normal distribution table, we can look up the probability of a Z-score being less than or equal to z, denoted as P(Z ≤ z). This value will be equal to 0.5 + 0.8664/2 = 0.9332, where 0.5 is added to account for the symmetry of the standard normal distribution.

Next, we can look up the corresponding Z-score from the table, which will give us the value of z. For a probability of 0.9332, the corresponding Z-score is 1.45. Therefore, we can conclude that P(-1.45 < Z < 1.45) = 0.8664.

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Complete Question:

Find the value of z for the probability statement: P (-z <Z<z) = 0.8664

Answer:

X = 2 is your answer

hope this will help you

Answer:

x=2

Step-by-step explanation:

As an investor, safety of the principal is an important consideration. Colonial Funds' claim of maintaining a consistent share price of $7 with a standard deviation of no more than 25 cents on average since inception seems like an attractive investment option for a conservative investor looking to invest in a bond fund.

To test the claim, the investor randomly selected 30 days from the last year and collected data on bond prices. The data from the sample was analyzed using a hypothesis test at a significance level of 0.05 to determine if the claim was true.

The null hypothesis (H0) is that the standard deviation of bond prices is equal to or less than 25 cents, while the alternative hypothesis (Ha) is that the standard deviation is more than 25 cents.

Using a one-tailed t-test with 29 degrees of freedom, the calculated t-value is 2.002 and the corresponding p-value is 0.028. As the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that the standard deviation of bond prices is more than 25 cents.

Based on this analysis, the investor's concern about the safety of her principal is justified and she should reconsider investing in Colonial Funds' bond fund. It is important for investors to carefully evaluate claims made by investment firms and conduct proper due diligence before investing their funds.

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Answer:

a1 = 6 and an = an-1 - 5

a2 = a2-1 - 5 = a1 - 5 = 1

a3 = a3-1 - 5 = a2 - 5 = -4, etc

Step-by-step explanation:

Answer:

cat's price = $15

dog's price = $25

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Uncontrollable factors can have an effect on the result of a scenario or experiment. Here are a few strategies for dealing with such factors:

Recognize the variables, Reduce the impact, Randomization, Statistical analysis, Concentrate on what you can control.

Recognize the variables: The first stage is to identify the uncontrollable elements and acknowledge their possible effect on the result. This allows you to plan for unexpected events and alter your expectations accordingly.

Reduce the impact: Even if you can't control the circumstances, you can reduce their influence by taking particular activities. For example, if weather conditions may have an impact on the result of an outdoor event, you may want to arrange it during a more favourable time of year.

Randomization: When dealing with uncontrolled elements in a scientific experiment, randomization can assist in evenly distributing the impact of these factors among multiple groups.

Statistical analysis: In data analysis, statistical analysis can help to account for the impact of uncontrollable factors. Statistical models can provide more accurate estimates of the influence of a given variable by controlling for other variables and accounting for the variability produced by uncontrolled factors.

Concentrate on what you can control: In many circumstances, it is more productive to focus on what you can control than than fretting about what you can't. You may be able to mitigate the effects of uncontrollable elements to some extent by recognising and maximising the controllable factors.

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The real root of the equation can be written in the form \(\(a\sqrt{3} + b\sqrt{3} + \frac{1}{c}\)\), where\(\(a = 0\), \(b = 1\),\) and \(\(c = 2\)\). Thus, \(\(a + b + c = 0 + 1 + 2 = 3\).\)

To find the real root of the equation \(\(8x^3 - 3x^2 - 3x - 1 = 0\)\) in the form\(\(a\sqrt{3} + b\sqrt{3} + \frac{1}{c}\)\), we need to perform a bit of algebraic manipulation.

Let's rewrite the equation as:

\(\[8x^3 - 3x^2 - 3x - 1 = 0.\]\)

First, let's divide the entire equation by 8 to simplify it:

\(\[x^3 - \frac{3}{8}x^2 - \frac{3}{8}x - \frac{1}{8} = 0.\]\)

Now, we'll try to factor this cubic equation. We know that one of the factors of this equation will be \(\(x - (\text{root})\)\), where \(\((\text{root})\)\)is the real root we're looking for. To find the root, we can use trial and error or other numerical methods. After some calculations, we find that the real root is \(\(x = \frac{1}{2}\).\)

Now, let's rewrite the cubic equation with the real root factored out:

\(\[x^3 - \frac{3}{8}x^2 - \frac{3}{8}x - \frac{1}{8} = (x - \frac{1}{2})(x^2 + \text{(something)}x + \text{(something else)}) = 0.\]\)

We have factored the cubic equation into a linear factor and a quadratic factor. To find the quadratic factor, we can use polynomial division or any other appropriate method. After performing the division, we find that the quadratic factor is:

\(\[x^2 + \frac{1}{2}x + \frac{1}{4}.\]\)

Now, we need to find the roots of this quadratic equation. Using the quadratic formula:

\(\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a},\]\)

where\(\(a = 1\), \(b = \frac{1}{2}\), and \(c = \frac{1}{4}\).\)Substituting the values, we get:

\(\[x = \frac{-\frac{1}{2} \pm \sqrt{\left(\frac{1}{2}\right)^2 - 4 \cdot 1 \cdot \frac{1}{4}}}{2 \cdot 1}.\]\)

Simplifying further:

\(\[x = \frac{-\frac{1}{2} \pm \sqrt{\frac{1}{4}}}{2} = \frac{-\frac{1}{2} \pm \frac{1}{2}}{2}.\]\)

So, the two roots of the quadratic equation are \(\(x = 0\) and \(x = -\frac{1}{2}\).\)

Now, we can express the real root of the original cubic equation as:

\(\[x = \frac{1}{2} = \frac{1}{2} + 0\sqrt{3} + \frac{1}{2\cdot1}.\]\)

Thus, \(\(a + b + c = 1 + 0 + 2 = 3\)\). Therefore, \(\(a + b + c = 3\).\)

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The complete question is:

The real root of the equation\(\(8x^3 - 3x^2 - 3x - 1 = 0\)\)can be written in the form \(\(a\sqrt{3} + b\sqrt{3} + \frac{1}{c}\),\) where \(\(a\), \(b\), and \(c\)\) are positive integers. Find \(\(a + b + c\).\)

Therefore, the angle of elevation from the ground to the top of the building is approximately 30 degrees.

To find the angle of elevation from the ground to the top of the building, we can use the tangent function. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle.

In this case, the opposite side is the height of the building (80 feet), and the adjacent side is the distance between you and the building (80√3 feet).

The formula to find the angle of elevation (θ) is:

θ \(= tan^{(-1)}(opposite/adjacent)\)

Substituting the values:

\(θ = tan^{(-1)}(80/80√3)\)

Simplifying the equation:

θ = \(tan^{(-1)}(1/√3)\)

Now, we can calculate the value of θ using a calculator or trigonometric table. Taking the inverse tangent \((tan^{(-1)})\) of 1/√3, we find:

θ ≈ 30 degrees

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Answer:

28 minutes

Step-by-step explanation:

8=1

16=2

24=3

4=1/2

The value of x is 8 if the lines a is parallel to b and c is parallel to d

a is parallel to b and c is parallel to d

We have to find the value of x

3x+36+15x=180

18x+36=180

Subtract 36 from both sides

18x=180-36

18x=144

Divide both sides by 18

x=144/18

value x=8

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The holes have a combined positional tolerance equal to the difference between the high limit of the feature of size (h) and the low limit of the feature of size (f).

When using the formula t = h - f to calculate one position tolerance value for both parts in a floating fastener condition, the "holes" refer to the feature of size that accommodates the fastener.

In this context, the combined positional tolerance of the holes is determined by subtracting the low limit of the feature of size (f) from the high limit of the feature of size (h), resulting in the value represented by "t".

This formula allows for the determination of a single tolerance value that accounts for the positional variation of both parts in relation to the fastener.

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The measure of angle F is 61.4° to the nearest degree  and it can be found through Law of Sines.

The law of sines is a mathematical relationship between the lengths of the sides and the angles of a triangle. It states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant, regardless of the size or shape of the triangle. Using the law of sines, it is possible to calculate the length of any side of a triangle given the lengths of the other two sides and the measure of their included angle, or to calculate the measure of any angle given the lengths of the three sides. The law of sines can also be used to solve oblique triangles, which are triangles that are not right triangles.

The measure of angle F can be found using the Law of Sines, which states that:

a/sinA = b/sinB = c/sinC

Where a, b, and c are the sides of the triangle and A, B, and C are the angles opposite those sides.

In this case, a = h = 99 cm, b = f = 55 cm, and c = unknown. We are given the measure of ∠H = 169° and we are trying to find ∠F.

Rearrange the equation to solve for ∠F:

sinF = (a/c) * sinH

sinF = (99/c) * sin169

Now, let's solve for c:

c = (99/sin169) * sinF

Solve for sinF:

sinF = (99/c) * sin169

Solve for sinF. Plugging in the values we have (99/c) and sin169, we get sinF = 0.835.

To find the measure of angle F:

∠F = arcsin(0.835)

∠F ≈ 61.4°

Therefore, the measure of angle F is 61.4° to the nearest degree.

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Step-by-step explanation:

I think it's 8.9932×10⁶

Answer:

8,993,200

Step-by-step explanation:

10^3 is 1000

8993.2 * 1000

=

8,993,200

The given equation is: 1 × 3 + 3 × 5 + ... + (2n - 1)(2n + 1) = 2n + 1 / n

To prove that the given equation is correct, we need to verify if it satisfies the Basis Step, Induction Hypothesis and Induction

Step.1. Basis Step:

When n = 1, the left-hand side of the equation is 1 × 3 = 3. Putting n = 1 in the right-hand side of the equation we get:(2 x 1) + 1 / 1 = 3

Hence the Basis Step is verified.

2. Induction Hypothesis:

We assume that the equation holds true for some n = k. That is,1 × 3 + 3 × 5 + ... + (2k - 1)(2k + 1) = 2k + 1 / k3.

Induction Step: We need to prove that the equation holds true for n = k + 1. That is,1 × 3 + 3 × 5 + ... + (2k + 1)(2k + 3) = 2k + 3 / (k + 1)

Now adding (2k + 1)(2k + 3) on both sides of the equation in the Induction Hypothesis, we get:1 × 3 + 3 × 5 + ... + (2k - 1)(2k + 1) + (2k + 1)(2k + 3) = 2k + 1 / k + (2k + 1)(2k + 3) = 2k + 1 + (2k + 1)(2k + 3) / (k + 1)

Factorizing, we get:2k + 1 + (2k + 1)(2k + 3) / (k + 1) = (2k + 3)(k + 1) / (k + 1) = 2k + 3

Thus the Induction Step is verified. Hence proved that the equation1 × 3 + 3 × 5 + ... + (2n - 1)(2n + 1) = 2n + 1 / n is true. Therefore, this is a valid formula for the given equation.

The given formula satisfies the Basis Step, Induction Hypothesis, and Induction Step.

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The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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The graph is a decreasing exponential graph.

Part A: The given graph is decreasing the exponential graph since the graph is decreasing rapidly as the value of x is increasing and the value of y is decreasing rapidly.

Part B: The graph shown here is maybe the case of any electric appliance which is of cheap quality. The time when it is brought then its performance and its life is awesome after that its life is decreasing rapidly.

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Complete question:

Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship. Identify and interpret the key features of the function in the context of the situation you described in part A.

The unconditional mean E(Y) of the autoregressive model AR(1) is 10.5.

To compute the unconditional mean E(Y) of the autoregressive model AR(1) given by 1.05 + 0.9Y + ε, we can use the property of linearity in expectation and solve for the mean value.

The model can be rewritten as:

Y = (1.05 + ε) / (1 - 0.9)

Since ε follows a normal distribution with mean 0 and variance 0.01, we know that E(ε) = 0.

Using the linearity of expectation, we can compute the unconditional mean E(Y) as follows:

E(Y) = E((1.05 + ε) / (1 - 0.9))

= (1.05 + E(ε)) / (1 - 0.9)

= 1.05 / (1 - 0.9)

= 1.05 / 0.1

= 10.5

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For given expression x will be equal to 1.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is m/2=18x-1

where m=33x+1

By putting value of m

33x+1=(18x-1)*2

33x+1=36x-2

3x=3

x=1

Hence,

          For given expression x will be equal to 1.

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Answer:

Step-by-step explanation:

1) Find DGE

Bisecting an angle makes it half. A straight line is 180

180/2 = DGE

90 = DGE

2) Find FGE

Bisecting an angle makes it half. A straight line is 180

180/2 = FGE

90 =  FGE

Answer:

x=-14/11 or -1.27 or -1 3/11

Step-by-step explanation:

Answer:

-14/11

Step-by-step explanation:

Simplify both sides of the equation

(Distribute)

(Combine Like Terms)

Subtract 22x from both sides.

Add 30 to both sides.

Divide both sides by -11

= -14/11

Answer:

Rewrite the expression using the negative exponent rule   [text]{b}^{-n } = 1/bn

Step-by-step explanation:

1/y^3

To prove the given trigonometric identity: \(cot(x+y) = )\frac{(cot(x)cot(y) - 1) }{(cot(x) + cot(y)}\), we can use the definition of cotangent and some trigonometric identities.

Recall that \(cot(x) = \frac{1}{tanx}\) and \(tan(x) = \frac{sin(x)}{cos(x)}\).
First, let's find the\(tan(x+y)\)using the angle sum formula for tangent:
\(tan(x+y)=\frac{(tan(x) + tan(y))}{ (1 - tan(x)tan(y))}\)
Now, substitute cot(x) and cot(y) using the definition of cotangent:
\(tan(x+y) =\frac{ (1/cot(x) + (1/cot(y)}{(1 - (1/cot(x))(1/cot(y))}\)
To simplify the expression, find the common denominator for the numerators:
\(tan(x+y) = \frac{ (cot(x)cot(y) + cot(x) + cot(y)) }{cot(x)cot(y) - 1}\)
Now, take the reciprocal of both sides to get \(cot(x+y)\)
\(cot(x+y) =\frac{ (cot(x)cot(y) - 1)}{ (cot(x) + cot(y))}\)
So, we have proven that \(cot(x+y) = \frac{ (cot(x)cot(y) - 1)}{ (cot(x)cot(y) - 1)}\)

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The work done by the force field f(x, y) = 2x sin πy i + 4 cos πy j to move a particle along the parabola y = x² from (0, 0) to (1/2, 1/4) is -1/4.

The work done by a force field can be calculated by taking the line integral of the force field along the given path. In this case, the path is the parabola y = x² from (0, 0) to (1/2, 1/4).

To calculate the line integral, we need to parameterize the path. Let's use x as the parameter. Then, y = x² and dx = 1.

The line integral can be written as:

W = ∫C F · dr

where C is the curve, F is the force field, and dr is the differential element of the path. Since we have parameterized the path using x, dr = dx i + 2x dx j.

Substituting F and dr, we get:

W = ∫C (2x sin πy i + 4 cos πy j) · (dx i + 2x dx j)

= ∫0^(1/2) (2x sin πx² + 8x² cos πx²) dx

This integral cannot be evaluated in terms of elementary functions, so we need to use a substitution. Let's use u = πx². Then, du/dx = 2πx and dx = du/(2πx).

Substituting u and dx, we get:

W = ∫0^(π/4) (sin u + 4 cos u) du/(2π)

= [-cos u + 4 sin u]/(8π) |_0^(π/4)

= (-1/4) - (0)

= -1/4

Therefore, the work done by the force field to move the particle along the parabola from (0, 0) to (1/2, 1/4) is -1/4.

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