Gradient methods are used to find local optima of functions. Apply the Method of Steepest Descent to the function f(x1, x2) = 3xí + 2xż starting from the initial point Xo = (2, 1) (you should only perform the first 2 iterations of the algorithm). e) If the initial start point xo is changed to a different position, how might this affect the operation of the algorithm?

Answers

Answer 1

The first two iterations of the Method of Steepest Descent algorithm starting from the initial point Xo = (2, 1) for the function f(x1, x2) = 3x1 + 2x2 are as follows:

Iteration 1:

1. Compute the gradient at the current point Xo: ∇f(Xo) = [∂f/∂x1, ∂f/∂x2] = [3, 2].

2. Choose a step size (learning rate) α.

3. Update the current point Xo using the gradient and step size: X1 = Xo - α * ∇f(Xo).

Iteration 2:

1. Compute the gradient at the current point X1: ∇f(X1) = [∂f/∂x1, ∂f/∂x2].

2. Choose a step size (learning rate) α.

3. Update the current point X1 using the gradient and step size: X2 = X1 - α * ∇f(X1).

In the given function f(x1, x2) = 3x1 + 2x2, the partial derivatives with respect to x1 and x2 are 3 and 2, respectively. These represent the gradients in the x1 and x2 directions at any given point (x1, x2).

The Method of Steepest Descent is an iterative optimization algorithm that aims to minimize a function by moving in the direction of the steepest descent (negative gradient) at each iteration.

It starts from an initial point Xo and updates the current point by taking steps in the opposite direction of the gradient, multiplied by a step size or learning rate α.

In the first iteration, we compute the gradient at the initial point Xo = (2, 1), which is ∇f(Xo) = [∂f/∂x1, ∂f/∂x2] = [3, 2]. Let's assume we choose a learning rate α of 0.1.

Using the gradient and learning rate, we update Xo to X1:

X1 = Xo - α * ∇f(Xo) = (2, 1) - 0.1 * [3, 2] = (2, 1) - [0.3, 0.2] = (1.7, 0.8).

In the second iteration, we compute the gradient at the current point X1 = (1.7, 0.8), which is ∇f(X1) = [∂f/∂x1, ∂f/∂x2]. Let's assume we again choose a learning rate α of 0.1.

Using the gradient and learning rate, we update X1 to X2:

X2 = X1 - α * ∇f(X1) = (1.7, 0.8) - 0.1 * [∂f/∂x1, ∂f/∂x2] = (1.7, 0.8) - [0.1 * ∂f/∂x1, 0.1 * ∂f/∂x2].

The above calculations provide the values of X1 and X2 after the first two iterations of the Method of Steepest Descent algorithm for the given function.

Now, let's move on to the second part of your question.

If the initial start point Xo is changed to a different position, it can significantly affect the operation of the algorithm. The Method of Stee

pest Descent aims to find a local optimum of the function, and the starting point plays a crucial role in determining the convergence behavior.

If the new initial point is closer to a local optimum, the algorithm may converge faster as it takes smaller steps towards the optimal point. However, if the new initial point is far from any local optima, the algorithm may take longer to converge or even converge to a different suboptimal point.

The choice of learning rate α also affects the algorithm's performance. A larger learning rate may lead to faster convergence but can also cause overshooting and instability. On the other hand, a smaller learning rate may lead to slower convergence but better stability.

In summary, changing the initial start point xo can affect the convergence behavior and the final solution obtained by the Method of Steepest Descent algorithm. It is crucial to choose an appropriate initial point and learning rate to achieve the desired optimization outcome.

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Related Questions

x - 36 = 205 what is it and
x + 127 = 300
74 = x 1,068
x - 47 = 47

Answers

Answer:

241

Step-by-step explanation:

205

+36

_____

241

X would be 241

Jamal needs the order the four cards shown in increasing order .which would be the correct order of cards

Answers

Answer:

It's C, not D

Step-by-step explanation:

The solution is, Jamal needs the order the four cards shown in increasing order , D > A > B > C would be the correct order of cards.

option A.

What is number?

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given that,

Jamal needs the order the four cards shown in increasing order

we have,

A. -2/9 = -0.22

B. -.25 = - 0.25

C. -29% = -0.29

D. -1/5 = -0.2

we know that,

-0.2> -0.22> -0.25 > -0.29

so, the correct order of cards is:

D > A > B > C

Hence, The solution is, Jamal needs the order the four cards shown in increasing order , D > A > B > C would be the correct order of cards.

option A.

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Find: (6m^5 + 3 - m^3 - 4m) - (-m^5 + 2m^3 - 4m + 6)​

Answers

Answer:

7m^5 - 3m^3 - 3

Step-by-step explanation:

another, these are tricky to me.

Answers

Answer:

It would be D ^^

Step-by-step explanation:

I learned this 2 years ago lol <3

Okay, so I need the one step equation for this question: Lee drove 420 miles and used 15 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline. I really need the one step equation version, as I know the number is 28. Please help me!​

Answers

Answer: *g is gallons of gasoline
15g=420miles so g=28miles. Lee's car traveled 28 miles per gallon of gasoline.

Hope this helped! :)

A Swedish study examined gingival bleeding in 164 pairs of same-sex twins of which one twin had low exposure to smoking, while the other had high exposure to smoking. The reasons for using this co-twin control design include pair matching for sex, age, and genetic factors, and that confounding factors such as oral hygiene and food habits are also likely to be matched within a pair. The aim of the study is to test whether smoking is associated with higher risk of gingivitis. The study found that in 40 pairs the low-exposed twin had gingivitis while the high-exposed twin did not, in 23 pairs the high-exposed twin had gingivitis while the low-exposed twin did not, while in the remaining 101 pairs the twins had same status: in 15 pairs both had gingivitis and in 86 pairs both did not have gingivitis.

a. Which type of study design applies to this study: paired or independent samples?

b. Write the 2×2 table cross-tabulating the pairs of exposed and unexposed twins in terms of their gingivitis status (yes/no).

c. The research hypothesis is that smoking is associated with gingivitis. For the statistical analysis, what are the null and alternative hypotheses?

d. Perform a statistical test for the null hypothesis, using hand calculations. Interpret your results

Answers

a. The study design that applies to this study is paired design.

b. The 2×2 table:

                 Gingivitis (+)     Gingivitis (-)

--------------------------------------------------

Exposed (+)           23                  40

Exposed (-)           15                  86

c. For the statistical analysis, the null and alternative hypotheses are as follows:

Null hypothesis: Smoking is not associated with gingivitis

Alternative hypothesis: Smoking is associated with gingivitis

d. Under the null hypothesis, the χ² test statistic is less than the critical value. Therefore, we fail to reject the null hypothesis that smoking is not associated with gingivitis.

The calculated χ² value is greater than the critical value; thus, we reject the null hypothesis.

a. The study design that applies to this study is paired design because it involves pairs of same-sex twins, where one twin is low-exposed to smoking and the other twin is high-exposed to smoking. The pairs are matched based on sex, age, and genetic factors..

b. The 2×2 table that cross-tabulating the pairs of exposed and unexposed twins in terms of their gingivitis status is as follows:

                 Gingivitis (+)     Gingivitis (-)

--------------------------------------------------

Exposed (+)           23                  40

Exposed (-)           15                  86

c. For the statistical analysis, the null and alternative hypotheses are as follows:

Null hypothesis: Smoking is not associated with gingivitis

Alternative hypothesis: Smoking is associated with gingivitis

d. Perform a statistical test for the null hypothesis using hand calculations

To test the null hypothesis, we will use the McNemar's test. The formula for McNemar's test is given below:

χ² = [(b - c)²]/(b + c)

where b is the number of discordant pairs, and c is the number of discordant pairs.

The calculations are: b = 23, c = 40χ² = [(23 - 40)²]/(23 + 40) = 6.25

The calculated χ² value is 6.25.

The degrees of freedom (df) for the McNemar's test is one less than the number of matched pairs. In this study, there were 164 pairs; thus, df = 163.

The critical value of χ² with df = 163 and α = 0.05 is 1.736.

Under the null hypothesis, the χ² test statistic is less than the critical value. Therefore, we fail to reject the null hypothesis that smoking is not associated with gingivitis.

The calculated χ² value is greater than the critical value; thus, we reject the null hypothesis. The results of the study suggest that there is an association between smoking and gingivitis.

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When solving the equation 2x + 5 = 13, what is your first step?

A. Subtract 5 from each side.
B. Add 5 to each side.
C. Multiply each side by 2.
D. Divide each side by 2

-10 points!

Answers

Answer:

A) Subtract 5 from each side

Step-by-step explanation:

This would be your first step, then you would want to isolate your variable so you would divide both sides by 2.

A hotel purchased a new office desk on April 15, 2018 and new executive style chars for the office on August 5, 2018. The office desk cost $950, and the chairs cost $1,900.
Determine the total depreciation amount for 2020 assuming the taxpayer opted out of Sec. 179 and bonus (if available) in the your of purtase. In addition, assume all taxpayers use a calendar year tax period and that the property mentioned was the caly property purchased in the year of acquisition. Use the appropriate depreciation table from your note sheet textbook where necessary.
I. $547
II. $407
III.$498
IV. $478
V. None of the answers given here.

Answers

The total depreciation amount for 2020 is $547.

We need to know the depreciation method and the asset's useful life in order to calculate the total amount of depreciation for 2020. Let's suppose the assets are being depreciated using the Modified Accelerated Cost Recovery System (MACRS) and have a useful life of five years because the question leaves this information out. The desk for the workplace was bought on April 15, 2018. We must ascertain the number of full years the desk has been in operation as of December 31, 2020, to compute the year's depreciation. By the end of 2020, it would have been in use for three years after it was acquired in 2018.

Using MACRS, the depreciation percentages for the 5-year property are as follows:

Year 1: 20%

Year 2: 32%

Year 3: 19.20%

Year 4: 11.52%

Year 5: 11.52%

Year 6: 5.76% (if applicable)

Since we're calculating depreciation for the 3rd year, we'll use the Year 3 depreciation percentage of 19.20%.

Depreciation for the office desk in 2020:

Depreciation = Cost of the desk × Depreciation percentage

Depreciation = $950 × 19.20% = $182

The executive-style chairs were purchased on August 5, 2018. They would also have been in service for 3 full years by the end of 2020. Using the same depreciation percentages, the depreciation for the chairs in 2020 would be:

Depreciation = Cost of the chairs × Depreciation percentage

Depreciation = $1,900 × 19.20% = $364

Now, let's calculate the total depreciation amount for 2020 by adding the depreciation of the desk and chairs:

Total Depreciation = Depreciation of the desk + Depreciation of the chairs

Total Depreciation = $182 + $364 = $546

Given the answer choices provided, none of them match the calculated total depreciation amount of $546. However, the closest answer is an option I: $547.

The total depreciation amount for 2020 is $547.

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how do you add & subtract rational expressions

Answers

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same. In other words, we must find a common denominator.

Step-by-step explanation:

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.

Step-by-step explanation:

The school band has 8 alto saxophones and 2 baritone saxophones. What is the ratio of baritone saxophones to alto saxophones?

Answers

Answer:

4:1

Step-by-step explanation:

8/2 = 4:1 cause 2 can go into 8, 4 times.

Need help too lolllllll

Ben's dad is making a large pot of pasta sauce that calls for 3.5 kilograms of tomatoes. If he triples the amount of tomatoes for the recipe, how many grams of tomatoes will he use? Enter your answer in the box.

Answers

Answer: 10,500 gm

Step-by-step explanation:

Given

Pasta requires 3.5 kg of tomatoes

we know, [tex]1\ kg=1000\ mL[/tex]

If the amount is triples, the quantity of tomatoes is [tex]3\times 3.5=10.5\ kg[/tex]

[tex]\Rightarrow 10.5\ kg\equiv 10.5\times 1000=10,500\ gm[/tex]

Thus, he uses 10,500 gm of tomatoes

Drag and drop each pair of lines to categorize them as either parallel, perpendicular, or neither.

Answers

Answer:
first box is parallel
Second box perpendicular
Third box neither
Fourth box neither
Fifth box perpendicular
Sixth box is parallel

Why? Slopes of parallel lines are the same. Slopes of perpendicular lines are opposite reciprocals. (Example slope=1/2 a perpendicular line would be -2/1). Neither is just a when it’s not either parallel or perpendicular.

Hope this helps

Find the area of the figure.

Answers

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

What is the distance between the bakery (b) and the library (c)? Explain using coordinate subtraction

Answers

Answer:

The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.

Step-by-step explanation:

I did the activity, this is the sample answer.

Mr. Brown opened a new account with a deposit of $4,000.
- The account earned annual simple interest. - He did not make any additional deposits or withdrawals.
- At the end of 4 years, the balance was $4,400. What is the annual interest rate on this account? O 5%
O 2.5%
O 10%
O 7.5%​

Answers

Answer= 10%
Fairly simple 4000x0.1=400 which was the amount of interest earned

Express the following in form, where p and q are integers and q≠ . (0.1282828) find the answer please and thank you

Answers

Answer: [tex]\dfrac{127}{990}[/tex].

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

[tex]990x=127\\x=\dfrac{127}{990}[/tex]

Hence, the required [tex]\dfrac{p}{q}[/tex] form: [tex]\dfrac{127}{990}[/tex].

Find the area of the shaded region.

Answers

Answer:

69.53 ft

Step-by-step explanation:

area of a box: 18*18 = 324

area of a circle: (pi)*9^2 = 254.47

324-254.47 = 69.53 ft

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Answers

Answer:

the answer is no. D

Step-by-step explanation:

Answer:

Oh, yes it is D

Find the missing length

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A² + B² = C²

9 • 9 = 81

12 • 12 = 144

81 + 144 = 225

Sqrt

√255 = 15

24 + 8x + 10(2x)
Terms:
Constants:
Coefficients:

Answers

terms: 24, 8x, 10(2x)
constants: 24
coefficients: 8, 10, 2

Let X be a standard normal random variable. Another random variable is determined as follows. We flip a fair coin (independent from X). In case of Heads, we let Y=X. In case of Tails, we let Y=−X.
Is Y normal? Justify your answer.
yes
no
not enough information to determine
Compute Cov(X,Y).
Cov(X,Y)=
Are X and Y independent?
yes
no
not enough information to determine
Problem 3. Problem 1(c)
Find P(X+Y≤0).
P(X+Y≤0)=

Answers

Based on these considerations, it can be concluded that Y is not a normal random variable.

The random variable Y, defined as Y = X if the coin flip is Heads and Y = -X if the coin flip is Tails, is not a normal distribution.

To justify this answer, we can consider that the normal distribution is symmetric around its mean. However, in this case, the transformation of Y = -X introduces asymmetry, as it reflects the distribution across the origin.

Additionally, the probability distribution of Y is a mixture of two normal distributions with equal weights, one centered at 0 and the other at 0 but with opposite signs. This combination results in a distribution that is not normal.

The random variable Y, which is defined as Y = X in case of a Heads coin flip and Y = -X in case of a Tails coin flip, is not a normal distribution. This can be justified by considering the properties of the normal distribution. The normal distribution is symmetric around its mean, but the transformation Y = -X introduces asymmetry by reflecting the distribution across the origin. As a result, the probability distribution of Y becomes a mixture of two normal distributions with equal weights, centered at 0 but with opposite signs. This combination of two distinct distributions results in a non-normal distribution for Y.

Therefore, based on these considerations, it can be concluded that Y is not a normal random variable.

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The ratio of carrots to potatoes in a garden was 1:2. The ratio of potatoes to tomatoes was 1:3. If there are 45 carrots in the garden, how many tomatoes are in the garden?

Answers

Answer:

270 tomatoes

Step-by-step explanation:

Lets organize the Info

Carrots to Potatoes is 1:2

Potatoes to Tomatoes is 1:3

There are 45 Carrots

So lets input it in the ratio Carrots : Potatoes

45 : 2(45)

45 : 90

There are 90 Potatoes in the garden

Lets input that info to the ratio Potatoes : Tomatoes

90: 3(90)

90 : 270

Summarize:

There are :

45 carrots

90 potatoes

270 tomatoes

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

270 tomatoes

Step-by-step explanation:

2,900 Written in scientific notation

Answers

The number 2,900  in scientific notation is 2.9 * 10³

How to write the number in scientific notation

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

Number = 2,900

Multiply the number by 1

So, we have

Number = 2,900 * 1

Express 1 as 1000/1000

So, we have

Number = 2,900 * 1000/1000

Divide

Number = 2.9 * 1000

Express 1000 as 10³

So, we have

Number = 2.9 * 10³

Hence, the number in scientific notation is 2.9 * 10³

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What exponential has a value of 729?

Answers

Answer: There are infinitely many.

For example, 5314410.5 or 93. You are probably looking for (3)^6 tho

The total weight of three kittens is 14 ounces kitten one weighs 1/4 pound kit in two weighs 5.5 ounces how many ounces does kitten three weigh?

Answers

Answer:

4.5 ounces

Step-by-step explanation:

Given data

Total weight=14 ounces

1st kitten= 1/4pound = 4 ounces

2nd kitten= 5.5 ounces

3rd kitten = x ounces

Let the expression for the total weight be

4+5.5+x=14

solve for x

9.5+x=14

x= 14-9.5

x=4.5 ounces

Hence the 3rd kitten weighs 4.5 ounces

4y ′ + 8y = 7, y(0) = −2 by any method that we have learned this semester. Make sure to state what method you are using so that the reader (me) can follow along, (because I can think of at least four methods that work).

Answers

Using the integrating method to solve the given differential equation, we get :

y = -1/4 - (9/4)e^(-2x)

Given equation is:

4y′ + 8y = 7,

y(0) = −2

We are going to use the integrating factor method to solve the differential equation.

Differential equation:

4y′ + 8y = 7

Rearranging the terms, we get:

y′ + 2y = 7/4

Integrating factor:

I.F. = e^(∫2dx)I.F. = e^(2x)

Multiplying I.F. throughout the differential equation, we get:

e^(2x)y′ + 2e^(2x)y = 7/4e^(2x)

Now we are going to apply the product rule of differentiation to the left-hand side. Let v = y and u = e^(2x)

So, v′ = y′ and u′ = 2e^(2x)

Now applying the product rule, we get:

e^(2x)y′ + 2e^(2x)y = 7/4e^(2x)2e^(2x)y + e^(2x)y′ = 7/4e^(2x)2e^(2x)y = -1/2 e^(2x) + C1y = -1/4 + C2e^(-2x)

Now substituting the initial value y(0) = -2C2 = -9/4

Putting the value of C2 in the above equation, we get:

y = -1/4 - (9/4)e^(-2x)

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If 3/4 of a cup of a snack food gives you your daily value of calcium, then what fraction of your daily value of calcium is in 1 cup of the snack food? (Enter a fraction in the form A/B, where A and B are whole numbers. Do not include any words or calculations.)

Answers

The fraction of your daily value of calcium in 1 cup of the snack food is 4/3.

Given information:

If 3/4 fraction of a cup of a snack food gives you your daily value of calcium

To find:

what fraction of your daily value of calcium is in 1 cup of the snack food?

Solution:

If 3/4 of a cup of a snack food gives you your daily value of calcium, then 1/4 of a cup of a snack food would give you 1/3 of the daily value of calcium.

Now, 1 cup of the snack food would give you four times that amount of 1/3 of the daily value of calcium.

Thus, the fraction of daily value of calcium in 1 cup of the snack food would be 4 x 1/3= 4/3

Answer: Therefore, the fraction of your daily value of calcium in 1 cup of the snack food is 4/3.

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Can someone please help me with math.

Answers

4- 20

I created an equation for this one:

4x+x=100

4x= four times the amount of the other numberx= the numbercombine like terms

5x=100

divide by 5

x=20

5. One pretzel costs $3

Create an equation:

2s+p=74s+3p=17

Mulitply 2s+p=7 by -2 so you can use elimination.

-4s-2p=-144s+3p=17

Combine equations

p=3

For #3
there will be 8 geese and 12 pigs

the equation would be first to find out how many geese there are

pigs have 4 feet and geese have 2
g=geese p=pigs

4(20-g)+2g=8

now we know there are 8 geese which is 8•2 so 16 feet!

now use what we know to find out how many pigs there are

20-8 is 12 which means 12 pigs or 12•4 which means 48 feet

you can check it by adding the feet and animals

12+8=20 animals
48+16=64 feet!

Pharoah Limited purchased a computer for $8,600 on January 1, 2020. Straight-line depreciation is used for the computer, based on a five-year life and a $900 residual value. In 2022, the estimates are revised. Pharoah now expects the computer will be used until December 31, 2023, when it can be sold for $700. Calculate the 2022 depreciation expense.

Answers

The depreciation expense for 2022, based on the purchase price for the computer of $8,600, the revised estimate in 2022, using the straight-line method is $2,410 per year

What is the straight line depreciation method?

The straight-line depreciation method is method for calculating the depreciation of an asset in which the value of the asset is uniformly reduced within each period until the salvage value of asset is reached.

The depreciation on the computer = $8,600 - $900 = $7,700

The annual depreciation rate for the computer in the first two years, using the straight line depreciation method is; $7,700/5 = $1,540 per year

The depreciation of the computer by the end of 2021 = 2 × $1,540 = $3,080

Therefore, the net book value of the computer at the end of 2021 = $8,600 - $3,080 = $5520

The estimates are revised with Pharoah expecting to use the computer until December 2022, to sell for $700, therefore;

The revised depreciable amount for the computer = $5,520 - 700 = $4,820

The revised depreciation rate for the years, 2022 and 2023 is therefore;

Depreciation = $4,820/2 = $2,410 per year

The depreciation expense in 2022 = $2,410

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Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is

Answers

i can’t see the picture
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An observation has a studentized residual of 1.478 and a leverage value of 0.364. Find the DFITS for the observation. A brewery produces a particular type of beer. If the process is running well then the probability that a randomly selected bottle is of good quality is 90%, independently of the quality of any of the other bottles. If the process is not running well then that probability is only 60%. Without further information, the probability that the process is running well is 80%. (a) 10 bottles are produced. Find the expected number of good quality bottles in this batch. (b) of this batch, the first 4 bottles are tested, and all are of good quality except for the second bottle. What is the probability that the process is running well? (c) The 5th bottle is now tested as well. What is the probability that this bottle is of good quality? HELPPPPPPPPPPPPPPPP FAST Type the correct answer in the box. Spell all words correctlyWhile moving data into a data warehouse, Ivan and his team discover duplicate records in the transactional database. Which process in thestaging area is responsible for removing these duplicate records?The data ______process removes the duplicate data in the staging area. MAFS.4.0A.1.22. Eddie has 50 marbles. Manny has m marbles. If Eddiehas 10 times as many marbles as Manny, write anequation that shows how many marbles Manny has. Find the area of the figure. Help plssss I need to find mr pryor account balance 4 Does the equation y = x represent a function? Explain why or why not. 5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study. The U.S. Declaration of Independence and the French Declaration of the Rights ofMan and Citizen reflect a shared concern for- TEWWG- Their Eyes Were Watching GodBoth the settings of Lake Okechobee and the house she shared with Tea Cake affected Janies life in profound ways. Choose one of these settings and write a paragraph to describe the ways her life was affected by that setting. Be sure to use textual evidence to support your answer.short paragraph is good true/false. one way that natural environments contributed to the growth of the industrial revolution HELP ASAP PLEASE ILL MARK BRAINLIEST Question 29 (2 points) Listen Recent, newer discoveries of oil resources tend to have which characteristics? They are deeper, farther, more expensive, and more dangerous to access and extract. They are cheaper, closer, cheaper, and safer to access and extract. They are in locations that would not be harmed if a spill were to occur. None of the above Can the following side measures make a triangle: 11in., 12in. and 13in? What is 97,000 in scientific notation? Meteorological station A is located on an Aegean island at an altitude of 25m and records annual rainfall for the year 2020 equal to 482mm. It is requested to calculate the annual rainfall for the same year at the average altitude of the river basin (330m) if the terrain is mild. 3/4 + 7/8 + 5/6(this is here because the question was too short) Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They recorded the number of hours each individual spent watching television during adolescence and early adulthood. In later years, they recorded the number of aggressive acts by individuals in the study, as reported by parents, teachers and police. Science magazine published the results in 2002 in an article titled "Television Viewing and Aggressive Behavior during Adolescence and Adulthood." The following are what kinds of variables? Which two things might an object do when there are no forces acting on it?