sketch the area under the standard normal curve over the indicated interval and find the specified area. (enter a number. round your answer to four decimal places.)

Answer:

Supplementary!

Answer:

Complementary I believe.

correct me if I’m wrong

if not adjacent

Given:

Mean , median and mode are given.

Median: Put all the number in order and find the middle number, or if there are two middle numbers, average them by adding them and dividing by two.

Mode: The number or numbers which appear with the highest frequency in the list.

Mean: Add all the numbers and then divide by how many numbers there are.

The Surface area of the rectangular pyramid that is given in the image is: C. 471 cm².

The surface area is simply the space covered by the faces of the pyramid . Therefore:

Surface area = area of the rectangular face + the four triangular faces

Note that there are two pairs of identical triangular faces.

Area of the first pair of triangular faces = base * height = 10 * 16.2 = 162 cm²

Area of the second pair of triangular faces = base * height = 12 * 15.8 = 189.6 cm²

Area of the rectangular face = length * width = 12 * 10 = 120 cm².

Surface area of the rectangular pyramid = 120 + 189.6 + 162 = 471.6 cm².

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James has a total of 21.9 kilograms of sand in his sandbox after adding the sand from the beach. To find the total weight of sand in James' sandbox, we need to convert the given weights from grams to kilograms.

James initially has 14,500 g of sand. To convert this to kilograms, we divide by 1000:

14,500 g ÷ 1000 = 14.5 kg

Next, James brings home an additional 7,400 g of sand from the beach. To convert this to kilograms, we divide by 1000:

7,400 g ÷ 1000 = 7.4 kg

To find the total weight of sand in James' sandbox, we add the initial amount of sand to the amount he brought from the beach:

14.5 kg + 7.4 kg = 21.9 kg

Therefore, James now has 21.9 kilograms of sand in his sandbox.

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Answer:

BC = 32

Step-by-step explanation:

the diagonals of a rectangle are congruent , then

BC = AD = 32

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

\(\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}\)

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

\(\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}\)

Plugging in the values gives;

\(\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x\)

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

\(\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}\)

Which gives;

\(\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x\)

Interest earned by investing in the savings account for one year, I = 0.018·x

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The leaf representation is given as

              14 l

              15 l 1447

              16 l 56

              17 l 8

              18 l 366

The 10th means that after the decimal, So the foundation must be the 15.1. This will be the 15.4, 15.7, 16.5 16.6 17.8 18.3 18.6 and 18.6.

In order to help visualize the shape of a distribution, a stem-and-leaf display or stem-and-leaf plot is a tool for presenting quantitative data in a graphical manner, comparable to a histogram.

The adoption of monospaced (typewriter) typestyles during that period contributed to their appeal since they made it simple for then-current computer technology to create the images. The improved graphic capabilities of modern computers have reduced the employment of these techniques.

While a stemplot is another name for a stem-and-leaf plot, it frequently refers to a different kind of chart. The term "simple stem plot" may refer to the mapping of a matrix of y values to a common x axis, along with the identification of the common x value by a vertical line and the individual y values by symbols on the line.

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The normal sampling distribution cannot be used, according to the given sample statistics and claim about the population proportion. The correct answer is option A, "No, because np is less than 5."

To determine whether the normal sampling distribution can be used to test the given claim about the population proportion, we need to check whether the conditions for a normal approximation are met. There are three conditions that need to be satisfied:

The sample size should be large enough (n ≥ 30). However, in this case, the sample size is only 25, which is not large enough.

The expected number of successes (np) and the expected number of failures (nq) should both be greater than or equal to 5. In this case, np = (25)(0.11) = 2.75 and nq = (25)(0.89) = 22.25, so np is less than 5.

The sample is independent and random. There is no information given in the question to suggest that this condition is not met.

Therefore, the correct answer is option A, "No, because np is less than 5." Since np is less than 5, we cannot use the normal sampling distribution to test the claim about the population proportion p at the given level of significance α = 0.05 using the given sample statistics p = 0.08 and n = 25. Instead, we would need to use the binomial distribution to calculate the probability of obtaining a sample proportion of 0.08 or less assuming the null hypothesis is true.

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True. We expect most of the data in a data set to fall within 2 standard deviations of the mean of the data set.

In a normal distribution, which is a common assumption for many data sets, it is expected that approximately 68% of the data falls within 1 standard deviation of the mean, and approximately 95% falls within 2 standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule.

The empirical rule is based on the properties of a normal distribution, which is symmetric and bell-shaped. It states that the majority of the data is concentrated around the mean, with the spread of the data increasing as we move further away from the mean. Within 2 standard deviations of the mean, we capture a large portion of the data, approximately 95%. This means that most of the data points are expected to fall within this range.

However, it's important to note that this statement assumes a normal distribution and may not hold true for all data sets. In cases where the data does not follow a normal distribution or has outliers, the proportion of data falling within 2 standard deviations may differ.

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Step-by-step explanation:

the FH seems to be option b.6.0

........

Answer:

hey i lucked out again

Step-by-step explanation:

And yea 2020 edge is very hard

Answer:

5 and 13

Step-by-step explanation:

given the first number is x and the second number is y

then x + y = 18 => y = 18 - x

also

x^2 + y^2 = 194

substitute

x^2 + (18 - x)^2 = 194

x^2 + x^2 - 36x + 324 = 194

2x^2 - 36x + 130 = 0

2(x^2 - 18x + 65) = 0

x^2 - 18x + 65 = 0/2

x^2 - 13x - 5x + 65 = 0

x(x - 13) - 5(x - 13) = 0

(x - 13)(x - 5) = 0

=> x - 13 = 0 => x = 13

=> x - 5 = 0 => x = 5

if x = 13, y = 18 - 13 = 5

if x = 5, y = 18 - 5 = 13

so x and y can be either 5 and 13

The answer will be Buffering proximity analysis that creates polygons around one or more input features.

What are Geoprocessing and Buffering ?

Single layer studies are those that are performed on a single feature dataset, as the name implies. Buffering is the process of producing an output polygon layer with a zone (or zones) surrounding an input point, line, or polygon feature that have a given width. The area of effect around interesting features can be determined particularly well with buffers. Many geographic information system (GIS) software programmes offer a set of tools called geoprocessing, which enables users to automate a number of the tedious activities involved in handling GIS data. The typical method for geoprocessing entails the input of one or more feature datasets, a spatially explicit analysis, and the creation of an output feature dataset.

For example, suppose a natural resource manager wants to make sure that no areas are disturbed within 1,000 feet of breeding habitat for the federally endangered Delhi Sands flower-loving fly. Buffers are common vector analysis tools that can be used on points, lines, or polygons to address proximity-related questions in a GIS (Rhaphiomidas terminatus abdominalis).

Hence the Buffering proximity analysis that creates polygons around one or more input features.

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Answer: The total costumers were surveyed = 500

Step-by-step explanation:

Let x = total costumers were surveyed.

Given : 125 people chose chocolate as their favorite flavor, which represents 25% of the costumers surveyed.

25% of x = 125

\(\Rightarrow\ \dfrac{25}{100}\times x = 125\\\\\Rightarrow\ \dfrac{1}{4}x=125\\\\\Rightarrow\ x=125\times4\\\\\Rightarrow\ x= 500\)

Hence, the total costumers were surveyed = 500

The volume of the solid generated is 3π/2 cubic units.

Consider a vertical strip of width dx at a distance x from the y-axis. The strip is at a height y = sinx from the x-axis and has a length of 2πy, as it encompasses the entire circumference of the shell. The radius of the shell is x, since it is at a distance x from the y-axis. The volume of this shell is given by:

dV = 2πyxdx

Integrating this expression from x = π/2 to x = π, we obtain the total volume of the solid:

V = ∫π/2^π 2πyxdx = 2π ∫π/2^π y*sinx dx

Using integration by parts, with u = sinx and dv = dx, we can find that:

∫π/2^π ysinx dx = [-cosxy]π/2^π - ∫π/2^π cosx*y' dx

where y' = dy/dx = cosx. Integrating by parts again, with u = cosx and dv = dx, we get:

∫π/2^π ysinx dx = [-cosxy]π/2^π + [sinxy']π/2^π - ∫π/2^π sinxy'' dx

where y'' = dy'/dx = -sinx. Substituting the expressions for y' and y'' gives:

∫π/2^π ysinx dx = [-cosxsinx + y*cosx]π/2^π + ∫π/2^π sin^2(x) dx

The integral of sin^2(x) can be evaluated as:

∫π/2^π sin^2(x) dx = [x/2 - (1/4)*sin(2x)]π/2^π

Substituting this into the previous equation, we get:

V = 2π [-cosxsinx + ycosx + x/2 - (1/4)*sin(2x)]π/2^π

Evaluating this expression at x = π and x = π/2 and subtracting, we get:

V = 2π [(1/2) + (π/4) + (1/4)*sin(π) - (-1/2) - (π/4) - (1/4)*sin(π/2)]

= 2π [1/2 + π/4 + 1/4]

= 3π/2

Therefore, the volume of the solid generated is 3π/2 cubic units.

To find the volume of the solid generated by revolving the region bounded by the curves y = sinx and y = 0 between x = π/2 and x = π around the x-axis, we can use the method of cylindrical shells.

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The probability that engineer Jane or manager Mary is on the committee will be 1/11 formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

Probability = Expected/Total outcome

If 4 managers were randomly selected from 11 managers, the probability will be 4/11.

If 4 engineers were randomly selected from 16 engineers, the probability will be 4/16.

The probability that engineer Jane or manager Mary is on the committee will be -

= 4/11 * 4/16

= 1/11

Therefore, the probability is 1/11.

The given question is incomplete, the given question is given below :

A committee will be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers. What is the probability that engineer Jane or manager Mary is on the committee?

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Answer:

your answer is -5-4-3-2-11

Step-by-step explanation:

this is because -5-4-3-2-11=-26, and that is the lowest term there

There can be several possibilities and causes

y>2x-1

y<2x-1

y≤2x-1

y≥2x-1

y=2x-1

Credit: Mister Brainly

There can be several possibilities and causes:

y>2x-1

Then line will be dashed and solution region to be shaded.

y<2x-1

Same like before

y≤2x-1

Solid line should be done and shading the solution region

y≥2x-1

Same like before

y=2x-1

A straight line and no shading

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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The dot product of the vectors ⟨5,−7,7⟩ and ⟨1,0,1⟩ is 12.

The dot product is a way to multiply two vectors and get a scalar quantity as a result. In the case of two three-dimensional vectors, A and B, the dot product is calculated by multiplying their corresponding components and adding them together.

In this problem, we are given the vectors ⟨5,−7,7⟩ and ⟨1,0,1⟩ and asked to find their dot product. We begin by multiplying the first components of each vector (5 and 1) and then adding that product to the product of the second components (−7 and 0), and then adding that to the product of the third components (7 and 1). This gives us:

(5)(1) + (−7)(0) + (7)(1) = 5 + 0 + 7 = 12

Therefore, the dot product of ⟨5,−7,7⟩ and ⟨1,0,1⟩ is 12.

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The optimal parenthesization of the matrix-chain product with dimensions 〈3, 5, 12, 10, 5, 50, 6〉 can be achieved by arranging the matrices in a specific order and placing parentheses in a way that minimizes the overall number of scalar multiplications.

To find the optimal parenthesization of a matrix-chain product, we can use dynamic programming. We start by initializing a table that stores the minimum number of scalar multiplications required for each subproblem. For a matrix chain with n matrices, we consider all possible ways to split the chain into two subchains and recursively compute the minimum number of scalar multiplications for each split. The optimal parenthesization is determined by finding the split that yields the minimum number of scalar multiplication.

In this case, the dimensions of the matrices are given as 〈3, 5, 12, 10, 5, 50, 6〉. We initialize a table with dimensions n x n, where n is the number of matrices in the chain. We iterate over the chain length, from 2 to n, and for each length, we iterate over the starting index of the chain. For each combination of length and starting index, we consider all possible splits and compute the minimum number of scalar multiplications.

By applying the dynamic programming approach, we can find the optimal parenthesization by minimizing the overall number of scalar multiplications. In this case, the optimal parenthesization is ((M1(M2(M3M4)))(M5(M6M7))), resulting in the minimum number of scalar multiplications required to compute the matrix-chain product.

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Answer:

0 or none

Step-by-step explanation:

jump the number line

Answer:

4 hours

Step-by-step explanation:

Let x = hours

$78 = $20 + $12x

collect like terms

78 - 20 = 12x

58 = 12x

x = 4.8 hours

the maximum hours is 4 hours

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

Step-by-step explanation:

Change in Y/Change in X

5- -1/6- -2

5+1/6+2

6/8

3/4

Answer: 800 dollars per month

Step-by-step explanation:

12000 divided by 15 is 800

800 x 15 = 12000

Answer:

-821.69

..........HAVE A NICE DAY...........

Answer:

5, 6, 7, 4, 3, 1, 2

Step-by-step explanation: I don't know if this is correct but most likely