Jasmine scored a 85 on the last math test. The class average was a 76 with a standard deviation of 4.5. So, XN(76,4,5) Jasmine's Z-score is This tells you that 85 is standard deviations to the left or right) of the mean, 14. The number of problems on all math exams are normal distributed. What is the probability a randomly selected math exam has fewer than 15 questions if the mean is 20 questions with a standard deviation of 2.5? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary. A city has around 890 thousand people. There are 123 parks in this city. What is the number of parks per capita in this city? Write your answer in scientific notation.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.

Let's calculate the margin of error for the confidence interval and check if the value of  \(32.1\) inches falls within the range.

Given:

Confidence interval: \((28, 32)\) inches

Confidence level: \(80%\)

Sample mean (x): Unknown

Sample size (n): Unknown

Population standard deviation (σ): Unknown

Belief: Population average height is  \(32.1\) inches

To determine if \(32.1\)  inches falls within the confidence interval, we need to calculate the margin of error (ME) for the confidence interval. The formula for the margin of error is:

ME = (Critical value) * (Standard deviation of the sample statistic)

Therefore, , we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.

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Answer:

$172.75 is the amount Ahmed has

Answer:

Here,

2x+3x=20x

or,5x=20x

or,5x-20x=0

or,15x=0(divide both sides by -15)

hence,x=0

The arc length of the curve is 1.3125

The length of an arc is the separation of two locations along a segment of a curve.

A defined integral between the two points is used to calculate the area under a curve between two points. Integrate y = f(x) between a and b's limits to find the area under the curve y = f(x) between x = a & x = b. Integration within the defined bounds can be used to calculate this area.

the arc length formula

\($$L=\int_C d s=\int_a^b \sqrt{1+\left(\frac{d x}{d y}\right)^2} d y$$\)

now

\($$\begin{aligned}16 x y^2-y^6 &=8 \\y^2\left(16 x-y^4\right) &=8 \\16 x-y^4 &=8 y^{-2} \\16 x &=8 y^{-2}+y^4 \\x &=\frac{1}{2} y^{-2}+\frac{1}{16} y^4\end{aligned}$$\)

\(\frac{d x}{d y}=-y^{-3}+\frac{1}{4} y^3\)

now differential line element is

\($$\begin{aligned}d s &=\sqrt{1+\left(\frac{d x}{d y}\right)^2} d y \\&=\sqrt{1+\left(-y^{-3}+\frac{1}{4} y^3\right)^2} d y \\&=\sqrt{1+y^{-6}-\frac{1}{2}+\frac{1}{16} y^6} d y \\&=\sqrt{y^{-6}+\frac{1}{2}+\frac{1}{16} y^6} d y \\&=\sqrt{\left(y^{-3}+\frac{1}{4} y^3\right)^2} d y \\&=\left(y^{-3}+\frac{1}{4} y^3\right) d y\end{aligned}$$\)

now arc length of the curve in the given interval

\($$\begin{aligned}L &=\int_C d s \\&=\int_1^2\left(y^{-3}+\frac{1}{4} y^3\right) d y \\&=\left[-\frac{1}{2} y^{-2}+\frac{1}{16} y^4\right]_1^2 \\&=-\frac{1}{2}\left(\frac{1}{2^2}-\frac{1}{1^2}\right)+\frac{1}{16}\left(2^4-1^4\right) \\&=\frac{\mathbf{2 1}}{\mathbf{1 6}} \approx \mathbf{1 . 3 1 2 5}\end{aligned}$$\)

this is the arc length of the curve

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Answer:

January has the greater MAD.

Step-by-step explanation:

The MAD of January is 8. You can figure this out by finding the mean of the data (adding them all together then dividing by the number of data points), then finding the distance between each data point and the mean. You then will add all the distances together, then divide by the number of data points. The MAD of July is 2.5. See above for the process.

The option "b. all events are equally likely in any probability procedure" is not a principle of probability. In reality, events can have different probabilities assigned to them based on various factors and conditions.

The principle of equal likelihood states that in certain cases, when no information is available to distinguish between outcomes, all outcomes are considered equally likely. However, this principle does not apply universally to all probability procedures.

The principle of equal likelihood, stated in option "b," is not a universally applicable principle of probability. While it holds true in some specific scenarios, it does not hold for all probability procedures.

Probability is a measure of the likelihood of an event occurring. It is based on the understanding that events can have different probabilities assigned to them, depending on various factors and conditions. The principles of probability help to establish the foundation for calculating and understanding these probabilities.

The other three options listed—options "a," "c," and "d"—are recognized principles of probability. Firstly, option "a" states that the probability of an impossible event is 0. This principle reflects the notion that if an event is deemed impossible, it has no chance of occurring and therefore has a probability of 0.

Option "c" states that the probability of any event is between 0 and 1 inclusive. This principle indicates that probabilities range from 0, indicating impossibility, to 1, indicating certainty. Probabilities cannot exceed 1, as that would imply a greater than certain chance of occurrence.

Lastly, option "d" states that the probability of an event that is certain to occur is 1. This principle recognizes that if an event is certain, it has a probability of 1, meaning it will happen with absolute certainty.

In contrast, the principle of equal likelihood, mentioned in option "b," is not universally applicable because events can have different probabilities based on various factors such as prior knowledge, available data, and underlying distributions. Probability is determined by analyzing these factors, and events are not always equally likely in all probability procedures.

Overall, while options "a," "c," and "d" are recognized principles of probability, option "b" does not hold as a general principle and should be considered as the answer to the question posed.

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If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

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Answer:

134°

Step-by-step explanation:

\( In\: \odot O,\) AB and AC are tangents at points B and C respectively. OB and OC are radii.

\( \therefore OB\perp AB\: \&\: OC\perp AC\)

(By tangent radius theorem)

\( \therefore m\angle ABO =m\angle ACO = 90\degree \)

\( m\angle CAB+ m\angle ABO +m\angle ACO+ m\angle BOC = 360\degree \)

\(\therefore 46\degree + 90\degree +90\degree+ m\angle BOC = 360\degree \)

\(\therefore 226\degree + m\angle BOC = 360\degree \)

\(\therefore m\angle BOC = 360\degree-226\degree \)

\(\therefore m\angle BOC = 134\degree \)

\(\implies m\angle O= 134\degree \)

Answer:

(4, 11) is one ordered pair  and (-4, 27) is the other ordered pair

Step-by-step explanation:

(1)  f(x) = x^2 - 2x + 3             (2)    f(x) = -2x + 19

-2x + 19 = x^2 - 2x + 3

x^2 - 16 = 0

(x - 4)(x + 4) = 0

x = 4   or    x = -4                                  -2(4) + 19 = 11

                                                             -2(-4) + 19 = 27

So, when x = 4, y = 11                   and when x = -4, y = 27

(4, 11) is one ordered pair              and (-4, 27) is the other ordered pair

Answer:

x = 8

Step-by-step explanation:

Solve for x:

-2 x + 16 = 4 (x/4 - 2)

Put each term in x/4 - 2 over the common denominator 4: x/4 - 2 = x/4 - 8/4:

-2 x + 16 = 4 (x/4 - 8/4)

x/4 - 8/4 = (x - 8)/4:

-2 x + 16 = 4 ((x - 8)/4)

(4 (x - 8))/4 = 4/4×(x - 8) = x - 8:

-2 x + 16 = x - 8

Subtract x from both sides:

(-2 x - x) + 16 = (x - x) - 8

-2 x - x = -3 x:

-3 x + 16 = (x - x) - 8

x - x = 0:

-3 x + 16 = -8

Subtract 16 from both sides:

(16 - 16) - 3 x = -16 - 8

16 - 16 = 0:

-3 x = -16 - 8

-16 - 8 = -24:

-3 x = -24

Divide both sides of -3 x = -24 by -3:

(-3 x)/(-3) = (-24)/(-3)

(-3)/(-3) = 1:

x = (-24)/(-3)

The gcd of -24 and -3 is -3, so (-24)/(-3) = (-3×8)/(-3×1) = (-3)/(-3)×8 = 8:

Answer: x = 8

Answer:

1177 178.12

Step-by-step explanation:

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

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Answer:

Easy 10000 like that was so easy

Step-by-step explanatLOLLO

In a random sample of 300 adults, how many consume at least 320 mg of caffeine Daily. Of the 300 adults, approximately_________ adults consume at least 320 mg of caffeine daily.

The formula for a z-score is

\(z = (X - μ) / σ,\)

where X is the score you are interested in, μ is the mean of the population, and σ is the standard deviation.

μ = 250, σ

= 47, and X

= 320z

= (X - μ) / σ

= (320 - 250) / 47

= 1.4893

To find the probability of a z-score, we can look it up on a standard normal distribution table. Because we want the probability of a value greater than 320, we will use the right-tail probability, which can be found by subtracting the z-score from 1.

P(z > 1.4893)

= 1 - 0.9319

= 0.0681

The probability that an adult consumes at least 320 mg of caffeine is 0.0681, or 6.81%.

\(300 x 0.0681 ≈ 20.43\)

adults Approximately 20 adults consume at least 320 mg of caffeine daily.

Answer: 20

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The total percent discount on the jeans is 35% amounting to $77

Total percentage discount = 15% + 20%

= 35%

Amount of discount = Total percentage discount × Cost of a pair of jean

= 35% × $220

= 0.35 × 220

= $77

Therefore, the total percent discount on the jeans is 35% amounting to $77

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Answer:  150 grams of zinc

Work Shown:

zinc/copper = 3/13

z/650 = 3/13

13z = 650*3

13z = 1950

z = 1950/13

z = 150

Answer:

casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.

1. Tu ropa está sucia. ¿Por qué no ____ lavas?

2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.

3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.

4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?

5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.

Answer:

2.The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

Step-by-step explanation:

A quadratic equation is any equation that can be rearranged in standard form as :

ax² + bx + c = 0

Where a, b and c are coefficients and a ≠ 0.

Since for a quadratic equation, the power of x is a non negative integer, it is considered as a polynomial. A quadratic equation is a second-degree polynomial (i.e the gratest power of x is two).

The equation  is not a quadratic equation because it cannot be rewritten as a second-degree polynomial.

We want to see which statement describes the equation x^5 + x^3 - 14 = 0.

The correct option is:

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

First, our equation:

x^5 + x^3 - 14 = 0.

Is a polynomial of degree 5 (the degree is equal to the maximum exponent).

Thus, this is not a quadratic equation.

Where a quadratic equation is a polynomial of degree 2.

Notice that we also can't replace x by another variable, such that it becomes a quadratic equation, then the correct statement is:

The equation is not quadratic in form because it cannot be rewritten as a second-degree polynomial.

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Answer: do you need step by step? if so-

Step-by-step explanation:

The correct answer is

x = 9, -8

Anita purchased 3 pounds of apples.

Anita spent $5.37 on apples at a rate of $1.79 per pound. We can set up a proportion to solve for the number of pounds Anita purchased:
$5.37 / $1.79 = x pounds
Simplifying the left side of the equation, we get:
3 = x pounds
Therefore, Anita purchased 3 pounds of apples.

Thus, using a proportion, we can determine that Anita purchased 3 pounds of apples at a rate of $1.79 per pound.

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The probability that p falls between 0 and 0.06 is 0.00000205.

How to calculate the probability

Based on the information, to calculate the probability that p falls between 0 and 0.06, we need to first calculate the standard error (SE) of the sample proportion, which can be calculated as:

SE = ✓[ p * (1-p) / N ]

where p is the sample proportion and N is the sample size.

In this case, we have:

p = 25/85 = 0.2941

N = 85

SE = ✓[ 0.2941 * (1-0.2941) / 85 ] = 0.0545

Next, we need to calculate the z-score corresponding to the upper limit of the interval (0.06). This can be calculated as:

z = (0.06 - p) / SE = (0.06 - 0.2941) / 0.0545 = -4.4702

Using the dCMP normal distribution tool, we can find the probability that a standard normal random variable falls below this z-score as:

P(z < -4.4702) = 0.00000205

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The correct answer is 4.33.

To find the residual corresponding to the data point (Y, X) = (8, -2), we can use the estimated regression equation:

Yhat = B0hat + B1hat * X

Substituting the values B0hat = 5.29, B1hat = 0.81, and X = -2 into the equation, we have:

Yhat = 5.29 + 0.81 * (-2) = 5.29 - 1.62 = 3.67

The residual is calculated as the difference between the observed value (Y) and the predicted value (Yhat):

Residual = Y - Yhat = 8 - 3.67 = 4.33Therefore, the correct answer is 4.33.

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The process described above requires detailed mathematical calculations and would be better suited for a handwritten or digital mathematical environment.

To solve the initial value problem 8(t+1)dy/dt - 5y = 15t for t > -1 with y(0) = 3, we can follow the steps below:

Step 1: Identify the integrating factor.

The integrating factor (u(t)) can be found by multiplying the entire equation by an appropriate function. In this case, the integrating factor is given by u(t) = e^(∫(8(t+1))dt).

Integrating 8(t+1) with respect to t, we get:

∫(8(t+1))dt = 8∫(t+1)dt = 8[(t^2/2) + t] = 4t^2 + 8t

Therefore, the integrating factor is u(t) = e^(4t^2 + 8t).

Step 2: Multiply the equation by the integrating factor.

Multiply both sides of the differential equation by u(t):

e^(4t^2 + 8t) * [8(t+1)dy/dt - 5y] = e^(4t^2 + 8t) * 15t

Step 3: Simplify and integrate.

The left side of the equation can be simplified using the product rule of differentiation and the chain rule. The right side can be integrated with respect to t.

e^(4t^2 + 8t) * 8(dy/dt) + e^(4t^2 + 8t) * 8y - e^(4t^2 + 8t) * 5y = e^(4t^2 + 8t) * 15t

Now, we can simplify further:

8e^(4t^2 + 8t)(dy/dt) + (8e^(4t^2 + 8t) - 5e^(4t^2 + 8t))y = 15te^(4t^2 + 8t)

Step 4: Integrate both sides of the equation.

Integrating both sides with respect to t, we get:

∫[8e^(4t^2 + 8t)(dy/dt) + (8e^(4t^2 + 8t) - 5e^(4t^2 + 8t))y]dt = ∫(15te^(4t^2 + 8t))dt

Using the appropriate integration techniques, we can solve the integral on both sides of the equation.

Step 5: Solve for y(t).

Once we have integrated both sides, we can rearrange the equation to solve for y(t) and obtain the solution to the initial value problem.

The process described above requires detailed mathematical calculations and would be better suited for a handwritten or digital mathematical environment.

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A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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Answer: Bret spent $52.92 on the lunch, including tax and tip.

Step-by-step explanation:

Given:

The bill before tax = $42

Sales tax = 6%

Tip = 20% before tax

To find:The total amount of money Bret spent

Solution: Calculate the sales tax:

Sales tax = 0.06 * $42 = $2.52

Calculate the total bill, including tax:

Total bill = $42 + $2.52 = $44.52

Calculate the bill before tax, based on which the tip is calculated:

Bill before tax = $44.52 - $2.52 = $42

Calculate the tip amount:

Tip = 0.2 * $42 = $8.40

Calculate the total amount spent by Bret:

Total spent = $44.52 + $8.40 = $52.92

Therefore, Bret spent $52.92 on the lunch, including tax and tip.

Answer:

384 ft²

Step-by-step explanation:

The volume of the cylinder = π r²h

r = 3 ft

h = 8 ft

Let's solve

3 · 4² · 8 = 384 ft²

So, the volume of this cylinder is 384 ft²