HELP ME PLEASE IM STUCK AND MY WORK IS DUE TOMORROW !!!!!!!

Answer:

1 blue and 1 white or 1 blue and 1 red

Step-by-step explanation

a.  The marginal pdf f1(x) of X is 0

b. the conditional pdf f2(y∨x) is 0

c. The  P(Y>13∨X=x) for any x>13 is  0

a. To find the marginal pdf f1(x) of X, we integrate f(x,y) over y from 0 to x:

f1(x) = ∫ f(x,y) dy from 0 to x

= ∫ 15xy^2 dy from 0 to x

= 5x^4

So, f1(x) = 5x^4 for 0 ≤ x ≤ 1, and f1(x) = 0 otherwise.

b. To find the conditional pdf f2(y∨x), we use the formula:

f2(y∨x) = f(x,y) / f1(x)

So, we have:

f2(y∨x) = 15xy^2 / (5x^4) = 3y^2 / x^3 for 0 ≤ y ≤ x ≤ 1, and f2(y∨x) = 0 otherwise.

c. To find P(Y > 13 ∨ X = x) for any x > 0, we need to integrate the joint pdf f(x,y) over the region where y > 13 and x = x. This region is a triangular region with vertices at (x,13), (x,x), and (1,x). So, we have:

P(Y > 13 ∨ X = x) = ∫∫ f(x,y) dy dx over the triangular region

= ∫ x∫13^x 15xy^2 dy dx / (5x^4)

= ∫ x [(13x^3)/2 - (x^4)/4] dx / (5x^4)

= 15/8 - (13/8)x

So, P(Y > 13 ∨ X = x) = 15/8 - (13/8)x for 0 < x ≤ 1, and P(Y > 13 ∨ X = x) = 0 otherwise.

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The net change between the given values of the variable is 3ah - 3a

The given parameters are

f(t) = 3t

Where

t = a and  t = ah

Calculate f(a) and f(ah)

So, we have

f(a) = 3a

f(ah) = 3ah

The net change between the given values of the variable is

Change = f(ah) - f(a)

So, we have

Change = 3ah - 3a

Hence, the net change between the given values of the variable is 3ah - 3a

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The opposite of a number is derived when the value moves in the opposite direction on the number line. Hence the opposite of 10 on the number line is -10 because you simply move 10 units to the left of the number line. So to put it simply, the opposite of a number is the same number with a negative value. However the absolute value of a number is the positive value of that same number. Hence when a number is expressed in its absolute value (usually written as |x|, then whether its positive or negative, its value would be expressed as a positive. Which means for example, the absolute value of -10 is 10, (or | -10 | = 10).

The opposite of a number and its absolute value is always the same, because the value of any number in its absolute form is always positive.

Note that two numbers are opposites if they have the same absolute value.

Answer:

a. The birth length at the 2.5th percentile is approximately 18.74 inches.

b. The birth length at the 97.5th percentile is about 22.26 inches.

c. The z-score for the length at the 2.5th percentile is \( \\ z = -1.96\).

d. The z-score for the length at the 97.5th percentile is \( \\ z = 1.96\).

Step-by-step explanation:

We have the following information from the question:

Briefly, we can say that:

Preliminaries

The standard normal distribution is a normal distribution with \( \\ \mu = 0\) and standard deviation \( \\ \sigma = 1\). We use this distribution to find any possible probability for normally distributed data.

These values are tabulated in the standard normal table, available on the Internet or in Statistics books.

We also need to standardize raw values (x) into z-scores (or standardized values) using the formula:

\( \\ z = \frac{x - \mu}{\sigma}\) [1]

These z-scores represent the distance from the mean, \( \\ \mu\), in standard deviation units. They could be negative, when the standardized value is below the mean, or positive, in which case the standardized value is above the mean.

Finding the 2.5th percentile

Or the value x in the distribution where 2.5% of the observations are below it or 97.5% of the values in the distribution are above it (100 - 2.5 = 97.5).

To solve this:

The first column in the cumulative standard normal distribution is the z-score with one decimal digit. The first row has the second decimal digit. Thus, we need to first find the cumulative probability of 0.025 and find the values in the first column and in the first row that corresponds to it.

These values are -1.9 and -0.06 for a cumulative probability of 0.025 or \( \\ z = -1.96\) for \( \\ P(z<0.025)\). This is the z-score for the length at the 2.5th percentile.

Using formula [1] (without using units):

\( \\ z = \frac{x - \mu}{\sigma}\)

\( \\ -1.96 = \frac{x - 20.5}{0.90}\)

Multiplying at both sides by 0.90

\( \\ -1.96*0.90 = \frac{x - 20.5}{0.90}*0.90\)

\( \\ -1.96*0.90 = (x - 20.5) * \frac{0.90}{0.90}\)

\( \\ -1.96*0.90 = (x - 20.5) * 1\)

Adding 20.5 at both sides of the equation

\( \\ (-1.96*0.90) + 20.5 = x - 20.5 + 20.5\)

\( \\ (-1.96*0.90) + 20.5 = x\)

\( \\ x = (-1.96*0.90) + 20.5\)

\( \\ x = -1.764 + 20.5\)

\( \\ x = 18.736 \approx 18.74\)

Therefore, the birth length at the 2.5th percentile is approximately 18.74 inches.

Finding the 97.5th percentile

Or the value x in the distribution where 97.5% of the observations are below it or also 0.025% of the observations in the distribution are above it (100 - 97.5 = 0.025).

We can follow the same steps as before, so:

\( \\ z = \frac{x - \mu}{\sigma}\)

Consulting the standard normal table, \( \\ z = 1.96\). This is the z-score for the 97.5th percentile.

Using [1]

\( \\ z = \frac{x - \mu}{\sigma}\)

\( \\ 1.96 = \frac{x - 20.5}{0.90}\)

\( \\ (1.96 * 0.90) = x - 20.5\)

\( \\ (1.96 * 0.90) + 20.5 = x\)

\( \\ x = (1.96 * 0.90) + 20.5\)

\( \\ x = 1.764 + 20.5\)

\( \\ x = 22.264 \approx 22.26\)

Thus, the birth length at the 97.5th percentile is about 22.26 inches.

Something worth noting is since the normal distribution is symmetrical, both percentiles are at the same distance from the mean but in diametrically opposite directions, a result taking into account the sign for z in each case (z = -1.96 and z = 1.96).

We can see these two percentiles in the below graph for a normal distribution with \( \\ \mu = 20.5\) inches and \( \\ \sigma = 0.90\) inches. The shaded values are for \( \\ P(x<18.74) \approx 0.025\) (red) and \( \\ P(x>22.26) \approx 0.025\) (blue). Look above for the brief explanation of percentile.

Answer:

isiiqywyysyu the first one the first time in a even if it well y eh I just saw your message garako thiya na na hey I k h I just got home from a ko xa ki xaina the morning to get well soon dd ko we

Step-by-step explanation:

a. The line equation is given by:

Where m is the slope of the line and b is the y intercep.

In this case y is the number of active pilots and x is the year.

In order to obtain the line equation of the function, you use the information about a pair of years in the given table, in order to calculate the slope of the line. You can select whichever two years with its number of active pilots.

For example, for years 1980 and 1990, you have that the pilots were 182,097 and 149,666 respectively.

To calculate the slope of the line, you use the following formula:

Then, the slope of the line is negative.

If you consider the zero point of the year axis, as the year 1980, the y intercept of the function will the value of the active pilots in that years, which is 182,097.

Finally, the line equation is:

b. For the year 2003, you have that x is:

x = 2003 - 1980 =23

You replace this value of x into the linear equation:

The number of active pilots for 2003 is 107,506

Answer:

Step-by-step explanation:

P(4 only on the last roll) = P(not 4 on first roll) and P(not 4 on the second roll) and P(not 4 on the third roll) and P(4 on the last roll)

in probability and = multiplication

P( not roll a 4) = 1 - P(roll a 4)

P(4 only on the last roll) = 1-P(4) * 1-P(4)  *1-P(4) * P(4)

P(4) = 1 (1 time# 4 appears on the die)/6 (#of possible outcomes 1,2,3,4,5,6)

P(4 only on the last roll) = 1-(1/6) * 1-(1/6)  *1-(1/6) * (1/6)

P(4 only on the last roll) =(5*5*5*1)/(6*6*6*6) = 125/1296

Answer: 125/1296

Step-by-step explanation:

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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The sample size that should be used in this study is approximately 93.

To determine the sample size for the study, we can use the formula:

n = (Z * σ / E)^2,

where n is the sample size, Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the maximum allowable error or margin of error.

In this case, the researchers want the average time to fix a rivet to be off by at most 3.5 seconds, which can be considered as the margin of error (E).

Given that the confidence level is 95%, the corresponding z-score (Z) is 1.96. The population variance (σ^2) is known to be 55 seconds^2.

Plugging these values into the formula, we can calculate the sample size:

n = (1.96 * sqrt(55) / 3.5)^2,

where sqrt denotes the square root.

Evaluating the expression:

n ≈ 92.607.

Sine the sample size should be a whole number, we can round up the value to obtain the final sample size.

Therefore, the recommended sample size for the study is approximately 93.

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Three different whole numbers whose sum and product are equal are 1, 2, and 3.

1 + 2 + 3 = 6

1 x 2 x 3 = 6

As demonstrated above, the sum and product of 1, 2, and 3 is the same.

Hope this helps!! :)

Answer:

1 2 and 3

Step-by-step explanation:

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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A 12 units i think sorry if im rong

Answer:

$20.84

Step-by-step explanation:

div 1 = $0.50

div 2 = $0.50

div 3 = $0.50 x 1.05 = $0.525

div 4 = $0.525 x 1.05 = $0.55125

years 5 and beyond we need to use the growing perpetuity formula:

stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32

now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:

stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84

The gradient of the straight line 2y - 4 = 16x + 1 is 8.

What is equation of line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.

To find the gradient of the straight line 2y - 4 = 16x + 1, we first need to rearrange the equation into the standard form of y = mx + c:

2y - 4 = 16x + 1

2y = 16x + 5

y = 8x + 5/2

Now we can see that the gradient of the line is 8, which is the coefficient of x in the equation y = 8x + 5/2. Therefore, the gradient of the straight line 2y - 4 = 16x + 1 is 8.

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Answer:

\(\frac{dy}{dx}=-(8t+1)e^{9t}\\\frac{d^{2}y}{dx^{2}}=(72t+17)e^{10t}\)

Step-by-step explanation:

The explanation is attached below.

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

Firstly, we will find the value of dx/dt using the Chain rule as follows: dx/dt = - e^(-t)Then, the value of dy/dt can be calculated as

dy/dt = (d/dt) [t(e^(8t))]   [Using product rule]= te^(8t) + t * 8e^(8t)  

[Using the product rule again]= te^(8t) + 8te^(8t)  

[Factoring out t]= te^(8t) (1 + 8t)So, we have obtained the first derivative of y w.r.t t.

Now, let's find the second derivative of y w.r.t t.d²y/dt² = (d/dt) [te^(8t) (1 + 8t)]  

[Using the product rule]= e^(8t)(1 + 8t) + t * 8e^(8t)

  [Using the product rule again]= e^(8t)(1 + 8t) + 8te^(8t)  

[Factoring out 8e^(8t)]= e^(8t) (1 + 8t + 8t)

 [Factorizing]= e^(8t) (16t + 1)

So, the value of the derivative dy/dx is:dy/dx = (dy/dt) / (dx/dt) = te^(8t) (1 + 8t) / - e^(-t) = -te^(9t) (1 + 8t)

Thus, the values of derivatives as functions of t are:

dy/dx = -te^(9t) (1 + 8t)

d²y/dx² = e^(8t) (16t + 1)

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The frequency of 1 is option (d) 973

Reselecting cases means selecting a subset of data that meets specific criteria. In this case, you will need to identify which cases to keep based on certain conditions. After reselecting cases, the next step is to define the variable TX + Y. This means that you will perform an operation on two existing variables, T and Y, and create a new variable that is the sum of T and Y. The result will be a numerical variable.

To summarize, you will need to follow these steps:

Reselect cases based on specific criteria.

Define the variable TX + Y as the sum of T and Y.

Recode the numerical variable into a categorical variable with two categories: G-1 İFT <= 10 and G=0 if T>10.

Calculate the frequency of category 1 in the new variable G.

Finally, to answer the question, you will need to calculate the frequency of category 1 in the variable G. This means that there are 973 cases where the value of TX + Y is less than or equal to 10.

The correct answer is option d. 973.

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Answer:

3

Step-by-step explanation:

hope it helps have a great day

Answer:

where the pattern??????

Answer:

where is the pattern

Step-by-step explanation:

Answer:

Explanation:

Here, we want to solve the given inequality

We proceed as follows:

Answer:

b

Step-by-step explanation:

edg 2020

The smallest measure of angle is angle ∠ V due to opposite angle of smallest side which is correct option(B).

A triangle is defined as simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol of Δ and consists of three connected vertices. Triangles can be categorized into a number of different varieties according on their sides and angles.

A triangle has three sides, three vertices, and three interior angles.

The angle sum property of a triangle states that the sum of the three interior angles of a triangle is always 180°

In ΔTUV,

Length of Side TU = 5 units

Length of Side UV = 8 units

Length of Side TV = 11 units

Side TU is opposite of angle ∠ V

Side UV is opposite of angle ∠ T

Side TV is opposite of angle ∠ U

The sides in order from longest to shortest :  Side TV > Side UV = Side TU

The longest side is always opposite of the largest angle, and the smallest side is always opposite of the smallest angle.

Hence, the angle in order from longest to shortest :  angle ∠ U > angle ∠ T > angle ∠ V

Thus, the smallest measure of angle is angle ∠ V.

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In the given word problem, Nevaeh's age is 7.

Given that,

Nevaeh is older than Kareem.

Their ages are consecutive integers.

The sum of the square of Nevaeh's age and twice Kareem's age is 61.

Assume Nevaeh's age as x.

Since Nevaeh is older than Kareem, Kareem's age would be x-1.

According to the problem,

The sum of the square of Nevaeh's age and twice Kareem's age is 61.

So, we can write the equation as:

x² + 2(x-1) = 61.

Expanding the equation, we get:

x² + 2x - 2 = 61.

Rearranging the terms, we have:

x² + 2x - 63 = 0.

x² + 9x - 7x - 63 = 0

x(x + 9) - 7(x + 9) = 0

(x - 7)(x+9) = 0

x = 7 or x = - 9

Since age is a positive quantity, therefore, proceed x = 7

Therefore, Nevaeh's age is 7.

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The area under the curve to the right of 64 is approximately 0.2514.

To find the area under the curve to the right of 64 for a normal distribution with a mean (μ) of 60 and a standard deviation (σ) of 6, follow these steps:

Step 1: Convert the raw score (64) to a z-score. z = (X - μ) / σ z = (64 - 60) / 6 z = 4 / 6 z ≈ 0.67

Step 2: Use a standard normal distribution table or a calculator to find the area to the left of the z-score. For z ≈ 0.67, the area to the left is approximately 0.7486.

Step 3: Find the area to the right of the z-score.

Since the total area under the curve is 1, subtract the area to the left from 1 to find the area to the right. Area to the right = 1 - 0.7486 Area to the right ≈ 0.2514

So, the area under the curve to the right of 64 is approximately 0.2514.

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Answer:

120m/s

Step-by-step explanation:

v-? (speed)

s-5400m(travel)

t-45s(time)

v=s/t

v=5400/45

v=120m/s

Answer:

114.633333333

Step-by-step explanation:

Answer:

for just chile id put it at 30 or 20

Step-by-step explanation:

The total amount of the outstanding loan that the bank loaned at 10% interest rate is $4,000.

a + b = $10,000 equation 1

0.1a + 0.07b = 820 equation 2

Where:

Multiply equation 1 by 0.07

0.07a + 0.07b = 700 equation 3

Subract equation 3 from equation 2

0.03a = 120

Divide both sides of the equation by 0.03

a = 120 / 0.03

a = $4000

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The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6