suppose you perform pca on an 10,000-dimensional dataset, with a target explained variance ratio of 95%. how many dimensions will the resulting dataset have? explain your answer.

Answer:

1.

a)36

b)1

c)24

d) 24

2.

a)4/5

b)2/3

c)2/3

3.

a) 1/6

b) 63

c) 5/3= 1 2/3

d) 3/44

e) 31/48

f) 71/6=11 5/6

g) 361/16 = 42 9/16

h)  234/45= 26/5= 5 1/5

i) 68/15= 4 8/15

j) 14/9= 1 5/9

4.

a) 777.1 dollars

b) 40409.2 dollars

7. 4.4%

8.

a) 1.47 X 10 raised to power of 9 km

b)5.753 X 10 raised to power of 9 km

9.

a) 9.4637 X 10 raised to power 12 km

b) 1.6 X 10 raised to the power of -5 km

c) 3.974754 X 10 raised to the power of 14 km

Still trying to figure out the rest of the questions but for for immediate answers this is what I´ve got.

Answer:

Area of figure:  (4y - 7)(x + 6y + 1)

Step-by-step explanation:

The height of the figure is 4y - 7 and the length is x +  6y + 1.

The area of the figure is the product of height and length, or:

(4y - 7)(x + 6y + 1)

Decimal to binary:150-10010110, 980-1111010100  

Decimal to hexadecimal:210-D2, 359-167

1.Conversion from decimal to binary:

a) 150:

Binary representation: 10010110

b) 980:

Binary representation: 1111010100

2.Conversion from binary to decimal:

a) 111011010:

Decimal representation: 474

b) 1011011110:

Decimal representation: 734

3.Conversion from decimal to hexadecimal:

a) 210:

Hexadecimal representation: D2

b) 359:

Hexadecimal representation: 167

4.Conversion from hexadecimal to decimal:

a) B9:

Decimal representation: 185

b) AD5:

Decimal representation: 2773

5.Conversion from binary to hexadecimal:

a) 11101:

Hexadecimal representation: 1D

b) 111000101011:

Hexadecimal representation: 1CAB

6.Conversion from hexadecimal to binary:

a) 1C2:

Binary representation: 11100010

b) F3A1:

Binary representation: 1111001110100001

7.Addition of binary numbers:

a) 1011110 + 101011:

Binary sum: 10001001

b) 1110001 + 11011:

Binary sum: 10001100

8.Multiplication of binary numbers:

a) 1110 × 111:

Binary product: 10001110

b) 10010 × 1001:

Binary product: 101011110

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Answer:

(x+7)(x+9)

Step-by-step explanation:

(x+7)(x+9)

Apply the distributive property by multiplying each term of x+7 by each term of x+9.

x^2+9x+7x+63

Combine 9x and 7x to get 16x.

x^2+16x+63

Answer:

Step-by-step explanation:

It’s 2.3 times more likey

The other ratio equivalent to (3, 5) will be (9, 15).

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that, Cory is reading a graph of equivalent ratios. If 1 of the ratios is represented as 3,5 which could be another ratio

In the given options,

a) (6, 8) = 3, 4

b) (8, 6) = 4, 3

c) (9, 15) = 3, 5

Since, (9, 15) = 3, 5

Hence, the equivalent ratio will be (9, 15).

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Answer:

there is 8 parts total

6/8 red 2/8 yellow

6/8 = 0.75

0.75 X 100 = 75%

The probability that Liz has two boys given that she has at least one boy who is taller is approximately 0.2841

Let's first consider all possible gender combinations of Liz's two children:

Boy, boy (BB)

Boy, girl (BG)

Girl, boy (GB)

Girl, girl (GG)

We know that Liz has at least one boy, which rules out the GG combination. That leaves us with three possible combinations: BB, BG, and GB.

From the given information, we know that in 76% of families consisting of one son and one daughter, the son is taller than the daughter. This means that in the BB combination, the probability that the taller child is a boy is 1 (since both children are boys), and in the BG and GB combinations, the probability is 0.76 (since there is one boy and one girl, and we know the boy is taller).

So, let's calculate the probability that Liz has two boys (BB) given that she has at least one boy who is taller. We can use Bayes' theorem for this

P(BB | taller child is a boy) = P(taller child is a boy | BB) × P(BB) / P(taller child is a boy)

where P(taller child is a boy | BB) = 1 (as both children are boys), P(BB) = 1/4 (since there are four possible gender combinations), and P(taller child is a boy) = P(taller child is a boy | BB) × P(BB) + P(taller child is a boy | BG) × P(BG) + P(taller child is a boy | GB) × P(GB) = 1 × 1/4 + 0.76 × 1/2 + 0.76 × 1/2 = 0.88.

Substituting these values into Bayes' theorem, we get

P(BB | taller child is a boy) = 1 × 1/4 / 0.88 = 0.2841

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Answer:

Jason earns $12 +$50 =62$ in 1hour

Alyssa earns 22$ in a hour

now Jason have to work for 1 hour and Alyssa have to work for 62÷22 = 2.81 hour

to make same amount of money..

please brainleaist

Valeria cannot cut any 23-foot pieces from the 9-foot ribbon. The length of the leftover piece of ribbon will be equal to the original length of the ribbon, which is 9 feet.

Valeria bought a 9-foot length of ribbon and wants to cut 23-foot pieces from it. We need to determine how many pieces she can cut and the length of the leftover piece of ribbon.

To find out how many 23-foot pieces Valeria can cut, we need to divide the length of the ribbon by the length of each piece. The calculation is as follows:

9 feet ÷ 23 feet = 0.39130434782

Since we can't have a fraction of a piece, Valeria can only cut 0 whole pieces. Therefore, she cannot cut any 23-foot pieces from the 9-foot ribbon.

As for the length of the leftover piece of ribbon, we need to subtract the total length of the cut pieces from the original length of the ribbon. In this case, since Valeria cannot cut any 23-foot pieces, the length of the leftover piece will be equal to the original length of the ribbon.

Hence, the length of the leftover piece of ribbon is 9 feet.

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a) The speed of the police car equal to the speed of the sports car in 14.38 seconds. b) 153.7 meters. c) 16.37 seconds. d) The speed of the police car relative to the sports car when the police car reaches the sports car-2.24 m/s

a) We know the initial speed of the sports car is 117 km/h. Since the police car starts from rest and accelerates at a constant rate, we can use the following equation to find the time when their speeds are equal:

v_sports_car = v_police_car

117 km/h = 2.26 m/s² * t + v_reaction_time

First, we convert 117 km/h to m/s:

117 km/h = 117000 m/3600 s ≈ 32.5 m/s

Substituting the values into the equation:

32.5 m/s = 2.26 m/s² * t + 0 (assuming the police car starts from rest)

Solving for t:

t = 32.5 m/s / 2.26 m/s² ≈ 14.38 seconds

b) To find the distance between the cars at this time, we can use the equation for the displacement of the police car during its acceleration:

s = v_0 * t + 0.5 * a * t²

Substituting the values:

s = 0 * 14.38 + 0.5 * 2.26 m/s² * (14.38)²

s ≈ 153.7 meters

c) Since the police car starts moving after a reaction time of 1.99 seconds, we need to add this reaction time to the time calculated in part (a):

total_time = t + v_reaction_time

total_time = 14.38 seconds + 1.99 seconds

total_time ≈ 16.37 seconds

d) What is the speed of the police car relative to the sports car when the police car reaches the sports car?

To find the speed of the police car relative to the sports car, we subtract the speed of the sports car from the speed of the police car at the time when they meet:

v_police_relative = v_police_car - v_sports_car

v_police_relative = 2.26 m/s² * total_time + v_reaction_time - 32.5 m/s

Substituting the values:

v_police_relative = 2.26 m/s² * 16.37 s + 1.99 s - 32.5 m/s

v_police_relative ≈ -2.24 m/s

The negative sign indicates that the police car is moving slower than the sports car when they meet, i.e., the sports car is still ahead.

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Answer:

Negative slope.

Step-by-step explanation:

Answer:

It is a negative slope

Step-by-step explanation:

the line it going down

hope this helps :3

Answer:

the correct results would be 6

The particular solution of the given differential equation is: y_p(x) = (1/5)xHence, the solution is \(y_p(x) = (1/5)x.\)

The given differential equation is d²y/dx² - 4 dy/dx + 9y = xe^xThe complementary solution of the differential equation is y_c(x) = c1 e^(2x) + c2 e^(2x)Using the method of undetermined coefficients, we have to assume the particular solution as: y_p(x) = Axe^xHence, y'_p(x) = Ae^x + Axe^x = Ae^x + y_p(x)and y"_p(x) = Ae^x + 2Ae^x + Axe^x = 3Ae^x + y'_p(x)

Substitute y_p(x), y'_p(x) and y"_p(x) in the differential equation and equate the coefficients of the term xe^x:3Ae^x - 4(Ae^x + y_p(x)) + 9y_p(x) = xe^xSimplifying the above equation, we get:5Ae^x - 4y_p(x) = xe^xThis implies, A = 1/5 and y_p(x) = Ax = (1/5)x

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The first step in verifying the general solution of the logistic equation is to substitute p(t) into the differential equation.

To verify the general solution of the logistic equation, we substitute p(t) into the differential equation and check if it satisfies the equation. The logistic equation is given as dp(t)/dt = r0 * p(t) * (1 - p(t)/k0), where p(t) represents the population at time t, r0 is the growth rate, and k0 is the carrying capacity.

By substituting p(t) into this equation, we replace dp(t)/dt with the derivative of p(t) with respect to t. Then, we simplify and solve the resulting equation to ensure that it holds true for any arbitrary constant c. This process confirms that the general solution of the logistic equation, p(t) = k0 / (1 + (k0 / p0 - 1) * e^(-r0 * t)), is valid.

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Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!

Answer:

3000 grams

Step-by-step explanation:

convert 3 Kg to G

Answer:

this question cannot be solved

Answer:

183

Step-by-step explanation:

Sub the values into the expression

-(-3)² - (-3)(8²)

-9 - (-192)

-9 + 192

183

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Dugan's average velocity for the entire race is 0 m/s

To determine Dugan's average speed for the entire race, we can use the formula:

Average speed = Total distance / Total time

In this case, the total distance is 50 meters (25 meters for the first leg and 25 meters for the return leg), and the total time is the sum of the times for both legs, which is:

Total time = 10.02 seconds + 10.16 seconds

a. Average speed for the entire race:

Average speed = 50 meters / (10.02 seconds + 10.16 seconds)

Average speed ≈ 50 meters / 20.18 seconds ≈ 2.47 m/s

Therefore, Dugan's average speed for the entire race is approximately 2.47 m/s.

To determine Dugan's average speed for the first 25.00 m leg of the race, we divide the distance by the time taken for that leg:

b. Average speed for the first 25.00 m leg:

Average speed = 25 meters / 10.02 seconds ≈ 2.50 m/s

Therefore, Dugan's average speed for the first 25.00 m leg of the race is approximately 2.50 m/s.

To determine Dugan's average velocity for the entire race, we need to consider the direction. Since the race is along a straight line, and Dugan returns to the starting point, the average velocity will be zero because the displacement is zero (final position - initial position = 0).

c. Average velocity for the entire race:

Average velocity = 0 m/s

Therefore, Dugan's average velocity for the entire race is 0 m/s
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The solutions to the given surd problems are:

a) -√2 + 4√3 i

b) 25 + 29i

Surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Surds are also referred to as irrational numbers.

a) We are given the expression:

√18 - √-12 + √-108 - √32

A negative root is a complex number. Thus, we have:

√18 - (√12)i + (√108)i - √32

= 3√2 - 2√3i + 6√3i - 4√2

= -√2 + 4√3 i

b) (2 - 3i)(1 + 5i) + (5 - 4i)(2i - 3)​

= 2 + 7i + 15 + 22i + 8

= 25 + 29i

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If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi

Answer:

$180

Step-by-step explanation:

4m x 5m = 20m squared

20m squared x $9 per square m = $180

Answer:

I think it is $180

Step-by-step explanation:

you find the area 4 meter × 5 meters which equals 20 squared meters. Then you have to multiply 20 squared meters times $9. This equals $180 for the 20 meters

Answer:

x = 154°

Step-by-step explanation:

Given information,

→ The line l & m are parallel to each other.

Now we have to,

→ Find the required value of x.

We know that,

→ Parallel lines are equal to each other.

Forming the equation,

→ x + 26° = 180°

Then the value of x will be,

→ x + 26° = 180°

→ x = 180° - 26°

→ [ x = 154° ]

Hence, the value of x is 154°.

The probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

There are 4 suits in a standard deck of cards, and there are 13 cards in each suit. There are C(52,4) ways to choose 4 cards from a deck of 52 cards.

To calculate the probability of getting 4 cards from different suits, we can break it down into steps:

Choose 1 card from any suit (there are 52 possible cards to choose from).

Choose the next card from one of the 39 remaining cards of a different suit (there are 39 cards remaining after taking out the 13 cards from the first suit).

Choose the third card from one of the 26 remaining cards of a different suit (there are 26 cards remaining after taking out the 13 cards from the first and second suits).

Choose the fourth card from one of the 13 remaining cards of a different suit (there are 13 cards remaining after taking out the 13 cards from the first, second, and third suits).

The probability of getting all 4 cards from different suits can be calculated as:

P = (52/52) x (39/51) x (26/50) x (13/49) = 0.267

Therefore, the probability of getting all 4 cards from different suits is 0.267 or approximately 26.7%.

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Answer: two hundred and fifty thousand people were left without homes in the earthquake.

They were there for every major disaster.

Step-by-step explanation:

Answer:

The height of the container is 1.5 feet. This can be calculated by dividing the total volume (7.5 ft3) by the product of length and width (5 x 2 = 10). Thus, 7.5 ft3 / 10 = 1.5 ft.

Step-by-step explanation:

The height of the container is 1.5 feet, which can be calculated by dividing the total volume (7.5 ft3) by the product of length and width (5 x 2 = 10). This equation can be expressed as 7.5 ft3 / 10 = 1.5 ft, which shows that the total volume can be divided by the product of length and width to obtain the height of the container.

Answer:

502cm

Step-by-step explanation:

brainliest maybe?

Answer:

502cm

Step-by-step explanation:

Checked on Khan