Please help me with #4

The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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Answer:

17

Step-by-step explanation:

Plug in 3 for x and you'll get

\(4(3) + 5\)

Which is 17.

Answer:

I think it is 19

Step-by-step explanation:

Answer:

  33

Step-by-step explanation:

Supplementary angles total 180°.

__

  A + B = 180 . . . . . . . . . . . . . definition of supplementary angles

  (3x +45) + (2x -30) = 180 . . . . . substitute the given expressions

  5x +15 = 180 . . . . . . . . . collect terms

  x +3 = 36 . . . . . . . . divide by 5

  x = 33 . . . . . . . subtract 3

_____

Additional comment

The angles are ...

Answer:

x = 33

Step-by-step explanation:

supplementary angles are two angles whose sum is 180°

viusal example, check attached image

Step 1: Find x

(3x + 45) + (2x - 30) = 180

(3x + 2x) + (45 -30) = 180

5x + 15 = 180

5x + 15 - 15 = 180 - 15

5x = 165

5x / 5 = 165 / 5

x = 33

checking work:

Step 2: Finding Angle A by plugging x in

3x + 45

3(33) + 45 = 144

Anglw A = 144°

Step 3: Finding Angle B by plugging x in

2x - 30

2(33) - 30 = 36

Angle B = 36°

Angle A + Angle B = 180°

144° + 36° = 180°                  TRUE x is correct

Answer:

Number 2 would be the correct choice

Step-by-step explanation:

Substitute x and y on (3x, 3y) with the given points of X, Y, and Z to see if the answer matches with X', Y', and Z'.

X (3(2), 3(3)) -> X' (6, 9)

Y (3(3), 3(-1)) -> Y' (9, -3)

Z (3(-4), 3(-2)) -> Z' (-12, -6)

The greatest common divisor of each of these pairs of integers are

a) 1    b)  1    c) 12   d)  1     e)  3   g)  1     h)  2    i) 1  

f) 0 is not a positive integer, so it doesn't have a prime factorization.

The greatest common divisor (GCD), also known as the highest common factor (HCF), of two or more integers is the largest positive integer that divides each of the integers without a remainder.

To find the GCD we need to write each number as a product of prime factorization and then we need to find out the common factors which is greatest among them.

a) 10 = 2 × 5,

11 is prime

GCD(10, 11) = 1 (no common factors)

b) 21 = 3 × 7,

44 = 2 × 2 × 11

GCD(21, 44) = 1 (no common factors)

c) 36 = 2 × 2× 3 × 3

48 = 2 × 2 × 2 × 2 × 3

GCD(36, 48) = 2 × 2 × 3 = 12

d) 34 = 2  × 17,

55 = 5 × 11

GCD(34, 55) = 1 (no common factors)

e) 117 = 3 × 3 × 13,

213 = 3 × 71

GCD(117, 213) = 3

f) 0 is not a positive integer, so it doesn't have a prime factorization.

g) 123 = 3 × 41, 2347 is prime

GCD(123, 2347) = 1 (no common factors)

h) 3454 = 2 × 1727,

4666 = 2 × 2333

GCD(3454, 4666) = 2

i) 9999 = 3 × 3 × 11 × 101,

11111 = 41 × 271

GCD(9999, 11111) = 1 (no common factors)

Therefore,

The greatest common divisor of each of these pairs of integers are

a) 1    b)  1    c) 12   d)  1     e)  3   g)  1     h)  2    i) 1  

f) 0 is not a positive integer, so it doesn't have a prime factorization.

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The length of the ladder is approximately 5 feet.To find the length of the ladder,

we can use the trigonometric relationship between the angle of elevation and the sides of a right triangle.

Let's denote the length of the ladder as 'L' and the height of the house as 'H'.

We are given:

Angle of elevation = 69 degrees

Height of the house = 13 ft

Using the trigonometric function tangent, we can set up the following equation:

tan(69 degrees) = H / L

To find L, we rearrange the equation:

L = H / tan(69 degrees)

Substituting the given values:

L = 13 ft / tan(69 degrees)

Using a calculator, we can evaluate tan(69 degrees) and find its reciprocal:

L ≈ 13 ft / 2.743144 = 4.739 ft

Rounding to the nearest foot, the length of the ladder is approximately 5 feet.

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Answer:

y=4/5x+2

Hi! first things first, you want to find the slope. you do that by taking both y values, in this case they are 2 and -6.

then, you need to identify the two 2 x values, 5 and -5.

next, follow this formula: Y2-Y1/X2-X1. y value#2 is -6, and y value#1 is 2. subtract those numbers, to end up with -8. this will go on top of the fraction.  x value#2 is -5, x value#1 is 5. subtract (=-10) and put it on the bottom of the fraction.

now you have your slope! we now have y= -8/-10, or simplified is 4/5.

Now we find the y intercept. to do that, you want to pick a set of points. i'm going to be using (5, 2) because it will be the easiest.

lastly, set up the equation to find the y int: y- y1= m (x- x1)

y- 2= 4/5 (x- 5) = 2

Answer:

((3 / 14) * 3) / 14 = 9 / 196

Step-by-step explanation:

Reduce 9/196 to lowest terms 9 196 is already in the simplest form. It can be written as 0.045918 in decimal form (rounded to 6 decimal places).

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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To prove that d(Xt Yt) = XtdYt + YtdXt + dXt . dYt, we can use the product rule of stochastic calculus. Applying the product rule, we get:

d(Xt Yt) = Xt dYt + Yt dXt + dXt . dYt + dXt . dYt

Since dXt . dYt is a second-order differential, we can ignore it using the Itô isometry property. Thus, we have:

d(Xt Yt) = Xt dYt + Yt dXt + dXt . dYt

Next, we can integrate both sides of this equation from 0 to t:

∫ d(Xs Ys) = ∫ Xs dYs + ∫ Ys dXs + ∫ dXs . dYs

Using the fundamental theorem of calculus and the fact that dX0 = dY0 = 0, we can simplify this equation as:

XtYt - X0Y0 = ∫ Xs dYs + ∫ Ys dXs + ∫ dXs . dYs

Finally, rearranging the terms, we get the desired result:

∫ Xs dYs = XtYt - X0Y0 - ∫ Ys dXs - ∫ dXs . dYs

This is the general integration by parts formula.
Hi! To prove the given equation and deduce the integration by parts formula, we will make use of Ito's lemma and properties of stochastic integrals.

Given Xt and Yt are Ito processes in R, we have:

d(XtYt) = Xt dYt + Yt dXt + dXt dYt

To prove this, we'll apply Ito's lemma to the function F(x, y) = xy, where x = Xt and y = Yt:

dF(x, y) = (∂F/∂x) dXt + (∂F/∂y) dYt + (1/2) [(∂²F/∂x²) (dXt)² + 2(∂²F/∂x∂y) dXt dYt + (∂²F/∂y²) (dYt)²]

Since F(x, y) = xy, we have:
∂F/∂x = Yt
∂F/∂y = Xt
∂²F/∂x² = 0
∂²F/∂y² = 0
∂²F/∂x∂y = 1

Substituting these partial derivatives back into Ito's lemma, we get:

d(XtYt) = Yt dXt + Xt dYt + dXt dYt

Now, let's deduce the integration by parts formula:

∫₀ᵗ Xs dYs = ∫₀ᵗ (XtYt - Yt dXt - dXt dYt) ds

Using the properties of stochastic integrals, we have:

∫₀ᵗ Xs dYs = XtYt - X₀Y₀ - ∫₀ᵗ Ys dXs - ∫₀ᵗ dXs dYs

Thus, the integration by parts formula is:

∫₀ᵗ Xs dYs = XtYt - X₀Y₀ - ∫₀ᵗ Ys dXs - ∫₀ᵗ dXs dYs

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The probability of getting 1st even and second odd is 9/36 = 1/4

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the sum of the probabilities of all the events in a sample space.

Number of outcomes with 1st even and second odd is 9

Total number of outcomes = 36

So, the probability of getting 1st even and second odd is 9/36 = 1/4

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Answer:

-36 divided by 9= -4

Step-by-step explanation:

-36 divided by 9= -4

USE A CALCULATOR OR DO THE INVERSE

Answer:

9

Step-by-step explanation:

-36/x=-4

x=-36/-4

Note, -/-=+

Therefore, x=9

Hope you understand

Answer:

C

Step-by-step explanation:

yeah-ya...... right?

Answer:

x > 6.5

Step-by-step explanation:

Let's temporarily replace the inequality sign ">" with "=".

This gives us: 5x - 2 = 3x + 11.

If we subtract 3x from both sides we are left with:

2x - 2 = 11.

If we add 2 to both sides, we are left with:

2x = 13.

If we divide both sides by 2, we are left with

x = 6.5.

Now let's substitute back in the inequality sign

x > 6.5

Hope this helps!!!! :)

Answer:

X>6½

Step-by-step explanation:

5x-3x>11+2

2x>13

x>6½

*X>13:2 and that is how i get 6½

I hope so that i help you

Answer:

2:57

Step-by-step explanation:

2:57 ururyrhhdhhdhhdhdggfhfhdisjssbdvhjsnbhijnvhhhvhhxggfhfhfisi

21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

The length of the boundary of any closed figure is called its perimeter.

Perimeter is calculated only of 2-dimensional shape, or a 1-dimensional length. This means that shapes like cubes, cones, and cylinders don't have a perimeter.

The perimeter of any shape is calculated by adding up the length of all its sides. A side is referred to as any continuous uninterrupted length of the shape between two points.

A point to be noted is that the perimeter of a circle is calculated by its radius and a mathematical number called pi. This is denoted by π. All other curved sides are calculated in a similar manner as well.

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Answer:

A

Step-by-step explanation:

I have the same question and got it write

Answer:

22

Step-by-step explanation:

Answer:

This is not true. If Tasha has her supplies as multiples of twelve, She can make twelve bags in total.

24  ÷ 12 = 2

36 ÷ 12 = 3

72 ÷ 12 = 6

As all are evenly divided by twelve, indicating she is able to make twelve bags in total.

Lisa will have approximately $9,554.58 in her account on the day she makes her final deposit.

To calculate the amount Lisa will have in her account on the day she makes her final deposit, we can use the future value of an ordinary annuity formula: Future Value = Payment × [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate. Given: Payment = $254 (monthly deposit); Interest Rate = 4.03% per year; Number of Periods = 29 (number of monthly deposits).

First, let's convert the annual interest rate to a monthly interest rate: Monthly Interest Rate = (1 + 0.0403)^(1/12) - 1 = 0.00332. Now, let's calculate the future value: Future Value = $254 × [(1 + 0.00332)^29 - 1] / 0.00332 ≈ $9,554.58. Therefore, Lisa will have approximately $9,554.58 in her account on the day she makes her final deposit.

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To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Source segregation refers to the ability to distinguish auditory events in the broader environment. This involves the distinction of various harmonic sounds present in the environment.

Source segregation is a perceptual process that allows individuals to separate and identify different auditory events or sources in a complex acoustic environment. It involves the ability to perceive and distinguish different sound sources based on their characteristics. This includes factors such as pitch, timbre, spatial location, and temporal properties.

The process of source segregation allows us to focus on specific sounds of interest while ignoring or separating them from other concurrent sounds. It enables us to identify and track individual sound sources in environments with multiple overlapping sounds, such as conversations in a noisy room or identifying individual instruments in a musical ensemble.

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To enclose his garden, Jayden needs 24 feet of wood assuming his rectangular-shaped garden has sides of 6 feet each.

Jayden needs wood to enclose his garden. He measured one side of his garden and found that it is 6 feet long.

To calculate how many feet of wood Jayden needs to enclose his garden, we need to know the length of all sides of the garden.

Assuming that the garden is rectangular in shape, we need to know the length of the other side as well.

Let's say the other side is also 6 feet long. In this case, we can calculate the total length of wood required by using the formula for the perimeter of a rectangle, which is:

                   Perimeter = 2 x (Length + Width)

Here, the length and width of the garden are both 6 feet.

So, we can substitute these values in the formula and get:

                   Perimeter = 2 x (6 + 6) = 2 x 12 = 24 feet

Therefore, Jayden needs 24 feet of wood to enclose his garden.

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The equation for d, the distance in meters that Martin covers per second, is d × 15 = 100

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Martin runs 100 meters in 15 seconds, we need to find the equation for d, the distance in meters that Martin covers per second

Since, Martin run 100 m in 15 sec

Therefore,

In 1 sec = 100 / 15

Therefore, d = 100 / 15

d × 15 = 100

Hence, the equation for d, the distance in meters that Martin covers per second is d × 15 = 100

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The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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In order to get a total combination of 250 gallons with an 18% salt concentration, 200 gallons of a 20% saltwater solution and 50 gallons of a 10% saltwater solution must be combined.

A basic formula for volumes is length, breadth, and height, as opposed to length, width, and height for the surface of a rectangle. It doesn't matter how you reference to the various dimensions; you could, for instance, use "depth" instead of "height" without the calculation changing.

The issue provides the equation shown below:

0.1x + 0.2y = 0.18(x + y)

Where 0.18 is the final mixture's salt content and x and y are the volumes of 10% and 20% saltwater solutions, respectively, in gallons.

Given with x = 50 gallons, we can solve for x by substituting the following into the equation:

0.1(50) + 0.2y = 0.18(50 + y)

By condensing and figuring out y, we get at:

5 + 0.2y = 9 + 0.18y

0.02y = 4

y = 200

Therefore, 200 gallons of the 20% saltwater solution will be needed to mix with 50 gallons of the 10% saltwater solution to produce a final mixture of 250 gallons at 18% concentration of salt.

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Answer:

6.33...

Step-by-step explanation:

1.9x10^5 = 190 000

2.5x10^-9 = 0.000000003

190 000/0.000000003 = 6.333....

Answer:

7.6 ✕ 10^13

Step-by-step explanation