Given the following: f =< 3, -4,5,1 > and g =< -6,0, -10,-2 > determine: i. Ilf - gll ii. The scalar and vector projection of f on g. iii. The angle between f and g iv. A non-zero vector that is orthogonal to both f and g.

Based on your question, it sounds like you are asking about random variables that have a joint probability density function (PDF) of 1/50 over a certain range of values.

In probability theory, a random variable is a variable whose value is determined by chance. It can take on a range of possible values, and the probabilities of each possible value occurring can be described using a probability distribution.

A joint probability density function is a function that describes the probabilities of two or more random variables taking on specific values simultaneously. In your case, you have two random variables that have a joint PDF of 1/50.

Without knowing the specific range of values over which the PDF is defined, it's hard to provide a more detailed answer. However, here are a few general observations about random variables and joint PDFs:

- Random variables can be either discrete or continuous. Discrete random variables take on specific, countable values (e.g. the number of heads in a series of coin tosses), while continuous random variables can take on any value within a certain range (e.g. the height of a randomly selected person).
- A joint PDF is typically used to describe the behavior of two or more continuous random variables. It gives the probability density at each point in the two-dimensional space defined by the values of the two variables.
- The total probability over the entire range of values for a joint PDF must sum to 1. This ensures that the probability of all possible outcomes occurring is equal to 1.

I hope this helps! If you have any further questions or clarifications, please let me know.
It seems that you are asking about random variables with a joint probability density function (pdf) of 1/50. Random variables are quantities that can take on different values according to some probability distribution. When two or more random variables are considered together, their relationship can be described using a joint pdf. In this case, the joint pdf is 1/50, indicating that the probability of a specific combination of these random variables is 1/50.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

The answer is D: 30 g.

Step-by-step explanation: I googled the answer to this question and it said that NHS reccomends that adults take around 30 g of fibre as a daily dose. If you take less, you may not get enough, but if you take more, you would possibly overdose. So, the answer is D: 30g.

The circumference of the circular garden is 176 feet. This means that if a person walks around the edge of the garden, they would have to travel a distance of 176 feet.

A circle is a geometric shape that has a constant distance, known as the radius, from the center point to any point on the circumference of the circle. The circumference of a circle is the distance around its edge or perimeter, and it is determined by multiplying the value of pi (π) by the diameter or twice the value of the radius (r).

The formula for calculating the circumference of a circle is C = 2πr, where C is the circumference, π is the mathematical constant 22/7 (or an approximation of pi), and r is the radius of the circle.

In this problem, the radius of the circular garden is given as 28 feet, and we are asked to find the circumference. We can substitute the given value of the radius into the formula for the circumference to obtain:

C = 2πr

C = 2 × 22/7 × 28

C = 176 feet

Therefore, the circumference of the circular garden is 176 feet. This means that if a person walks around the edge of the garden, they would have to travel a distance of 176 feet.

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Answer:

There are 7456 seats on the lower level and there are 5044 seats on the middle level.

Step-by-step explanation:

Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...

# of seats on the lower level = 3x - 50

# of seats on the lower level = 3(2502) - 50

# of seats on the lower level = 7456

Now we just make the equation for the number of seats on the middle level, and so we get...

# of seats on the middle level = 2x + 40

# of seats on the middle level = 2(2502) + 40

# of seats on the middle level = 5044

Answer:

There are 7456 seats on the lower level and there are 5044 seats on the middle level.

Step-by-step explanation:

this is correct on edge 2021

Answer:

Corresponding Angles; x=35

Step-by-step explanation:

These are corresponding angles.

To solve this, make the two angles equal to each other.

4x+7 = 6x-63

Push the variables to one side and the numbers to the other

4x-4x+7+63= 6x-4x-63+63

7+63=6x-4x

70 = 2x

x=35

Now, plug it into one of the angles. It does not matter which, both angles are the same.

4(35)+7 = 147

(It was at this point i realize that you were looking for the x value, not the angles, but I guess this is a bit extra.)

Answer:

Step-by-step explanation:

Add the two scores to make 347

3x + 2 + 300 - 2x  = 347                  Combine like terms on the left

3x + 302 - 2x = 347

x + 302 = 347                                  Subtract 302 from both sides

x = 347 - 302

x = 45

Scores

Yasmine = 3x + 2 = 3*45 + 2 = 135 + 2 =           137

Makayla = 300 - 2x = 300 - 2*45 = 300 - 90 = 210

Total                                                                     347

It will take approximately 6.12 months for the plant to double in height if its height increases by 15% every month.

What is height ?

Height is a measurement of the distance between the base or bottom of an object or person and its highest point or top. It is a vertical measurement that is often used to describe the physical dimensions of objects, structures, or living organisms. Height is typically measured in units such as feet, inches, meters, or centimeters, depending on the context and the measurement system used.

In geometry, height is also used to describe the perpendicular distance between the base of a two-dimensional shape, such as a triangle or parallelogram, and its opposite side or vertex. The height of a shape is usually measured at a right angle to the base or opposite side, and it can be used to calculate the area or volume of the shape.

According to the question:
Let's assume that the height of the plant is h at the beginning. After the first month, the height of the plant will be h + 0.15h = 1.15h. After the second month, the height of the plant will be 1.15h + 0.15(1.15h) = 1.3225h. We can see that the height of the plant increases by a factor of 1.15 every month.

To find the number of months it takes for the plant to double in height, we need to solve the equation:

\(h*1.15^n = 2h\)

where n is the number of months.

Simplifying the equation by dividing both sides by h, we get:

\(1.15^n = 2\)

Taking the logarithm of both sides (base 1.15), we get:

n = log1.15(2)

Using a calculator, we can find that n is approximately 6.12 months.

Therefore, it will take approximately 6.12 months for the plant to double in height if its height increases by 15% every month.

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Step-by-step explanation:

y = mx + c, where m is the gradient and c is the y-intercept of the line.

We already know that m = 8.

When x = -4, y = 3.

=> 3 = 8(-4) + c = c - 32. So c = 35.

Hence, the line equation is y = 8x + 35.

x + y = 100

x - y = 10

_____________ +

( x + y ) + ( x - y ) = 100 + 10

2x + y - y = 110

2x = 110

x = 110/2

x = 55

_________________________________

x - y = 10

55 - y = 10

- y = 10 - 55

- y = - 45

y = 45

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

x = 55 ..**&**.. y = 45

Answer:

8.70%

Step-by-step explanation:

Percentage error = (difference between estimated value and actual value / actual amount spent) x 100

difference between estimated value and actual value = estimated value - actual amount

$250 - $230 = $20

($20 / $230) x 100 = 8.6957%

Answer:

31 minutes in total

Step-by-step explanation:

Going step by step, where m = minutes after the first 3:

0.58 + 0.15m = 4.78

We want to solve for m, so we need to isolate it. The first step is to get rid of 0.58 to simplify our equation.

0.15m = 4.78 - 0.58

Now we have:

0.15m = 4.20

To isolate further, we need to remove 0.15.

m = 4.20 / 0.15

m = 28

Now, we add the first 3 minutes to m to get our total time.

28 + 3 = 31

Answer:

13

Step-by-step explanation:

The greatest common factor of these three expressions, 28w, 8w⁵, and 20w⁴, is 4w.

The greatest common factor (GCF) of three univariate monomials is the largest factor that divides all three expressions. To find the GCF of 28w, 8w⁵, and 20w⁴, we need to find the largest factor that is common to all three expressions.

First, we need to find the GCF of the coefficients of the three expressions. The GCF of 28, 8, and 20 is 4.

Next, we need to find the GCF of the variables of the three expressions. The GCF of w, w⁵, and w⁴ is w, since it is the lowest power of w that is common to all three expressions.

Therefore, the GCF of 28w, 8w⁵, and 20w⁴ is 4w.

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Answer:

20/3

Step-by-step explanation:

The Other guy is wrong, this is the correct answer from Plato

The rate of change in a direct variation relationship is the same as the constant of proportionality. The rate of change is the change in the dependent value, y, over the change in the independent value, x.

In this case, the number of tickets sold is the independent variable and the amount of money raised from ticket sales is the dependent variable. The ratio of money raised per ticket sold is the constant of proportionality.

Since 3 tickets are sold for $20, the rate of change, or slope, is 20/3

Answer:

20/3 I mean imI'm doing it rn and..... the plug

Step-by-step explanation:

Given:

Total number of cubes = 225

Cubes are arranged in a pattern with the same number of cubes in each row and column.

To find:

The number of cubes in a row.

Solution:

Let the number of cubes in a row be x.

Since, cubes are arranged in a pattern with the same number of cubes in each row and column, therefore number of cubes in rows and columns are equal.

\(\text{Total cubes}=x\times x\)

\(\text{Total cubes}=x^2\)

Total number of cubes = 225

\(x^2=225\)

Taking square root on both sides.

\(x=\sqrt{225}\)

\(x=15\)

So, the number of cubes in a row is 15.

Therefore, the correct option is A.

Answer:

The second/below one is where point G in an orthocenter

Step-by-step explanation:

The correct option is D, the 2.5% of the sample means falls above 1.053

To determine the value above which 2.5% of the sample means fall, we need to calculate the z-score corresponding to the 2.5th percentile of the standard normal distribution.

The formula for the z-score is given by:

z = (x - μ) / (σ / √n)

Where:

To find the z-score corresponding to the 2.5th percentile, we look up the z-score in the standard normal distribution table or use a calculator. The z-score that corresponds to the 2.5th percentile is approximately -1.96.

Now, we can solve for x using the formula:

-1.96 = (x - 1) / (0.1 / √12)

Multiplying both sides by (0.1 / √12):

-1.96 * (0.1 / √12) = x - 1

Simplifying the left side:

-1.96 * 0.1 / √12 ≈ -0.05385

Adding 1 to both sides:

-0.05385 + 1 ≈ 0.94615

Therefore, the value above which 2.5% of the sample means fall is approximately 0.94615 cm.

None of the provided answer choices match this value exactly. However, the closest option is: D. 1.053

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we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)

and tan(A-B)= (tanA-tanB)/(1+tanAtanB)

tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)

tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)

now add the equation (1) and (2) which is LHS of question. So we get:

{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS

Hence proved.

Answer:12

Step-by-step explanation:

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

To find the upper bound for V, we need to consider the maximum possible values for I and R within their given tolerances.

The maximum value for I, correct to 1 decimal place, would be 6.8 (6.7 + 0.1).

The maximum value for R, correct to 2 decimal places, would be 11.82 (11.81 + 0.01).

Now we can calculate the upper bound for V using the formula V = IR:

V = 6.8 * 11.82 = 80.376

Rounding this value to 2 decimal places, the upper bound for V is 80.24.

Step-by-step explanation:

Rounding this value to 2 decimal places, the upper bound for V is 80.24

Answer:

-6(3a + 5)

Step-by-step explanation:

Factoring -6 from 18a, you will be left with 3a because -6× 3a will give you 18a

Also factoring -6 from 30, you will be left with 5 because -6 ×5 = -30.

so  -18a -30

-6( 3a + 5)

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer:

division

Step-by-step explanation:

12-pack of bottled mineral water sells for $3.85

The cost of one bottle of water= $3.85/12= $0.32

Answer:

6588 miles

Step-by-step explanation:

Here's what you have to do: multiply. 54.9×120= 6588 (you multiply it by 120 because that's how long two hours is) so if he traveled in the same speed for two hours the car would have traveled 6588 miles