find the inverse (6,-14),(7,6),(7,-6),(19,-5)

Answer:a. f has a greater y- intercept than g

Step-by-step explanation:

P(X=14, Y=24) is not equal to P(X=14) *P(Y=24) so X and Y are not independent.

(a-b)There are 6 numbers in first set so probability of selecting any number from first set is 1/6. That is

P(X=x) = 1/6

Let X2 shows the number selected from second set. Since there are 6 numbers in 2nd set so probability of selecting any number from second set is 1/6. That is

P(X2=x2) = 1/6

The probability of selecting x from set one and x2 from set 2 is

P(X=x, X2=x2) = P(X=x)P(X2=x2) = (1/6) * (1/6) = 1/36

Since Y = x+x2 so

P(Y=y) = P(X=x, X2=x2) = P(X=x)P(X2=x2) = (1/6) * (1/6) = 1/36

Following table shows all possible values of X, X2 and Y:

(Check attachments 1, 2)

Following table shows the above joint pdf in other form and also marginal pdfs: (Check attachments 3)

The marginal pmf of X is

X P(X=x)

12 1/6

14 1/6

16 1/6

18 1/6

20 1/6

22 1/6

The marginals pmfs of Y:

Y P(Y=y)

24 1/36

25 1/36

26 2/36

27 2/36

28 3/36

29 3/36

30 3/36

31 3/36

32 3/36

33 3/36

34 3/36

35 3/36

36 2/36

37 2/36

38 1/36

39 1/36

(c) If X and Y are independent the following must be true for each X and Y :

P(X=x, Y=y) = P(X=x)P(Y=y)

From tables we have

P(X=14, Y=24) = 0, P(X=14) = 1/6, P(Y=24) = 1/36

Since, P(X=14, Y=24) is not equal to P(X=14) *P(Y=24) so X and Y are not independent.

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Answer:

$21

Step-by-step explanation:

630 ÷ 30 = 21

think it's right

i like your eyes they sparkle like the night sky even though you left me and stabbed me in the heart after i worshipped the ground you walked on ,

Given:

The table of value of a linear function.

To find:

The linear function in slope intercept form.

Solution:

Slope intercept form:

\(y=mx+b\)

Where, m is slope and b is y-intercept.

Consider any two points from the given table.

It is clear that the linear function passes through the points (1,0) and (2,5). So, the equation of the linear function is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-0=\dfrac{5-0}{2-1}(x-1)\)

\(y=\dfrac{5}{1}(x-1)\)

\(y=5(x-1)\)

Using distributive property, we get

\(y=5(x)+5(-1)\)

\(y=5x-5\)

Therefore, the slope intercept form of the given linear function is \(y=5x-5\).

You would need to buy about 1.5 pounds of pecans to make the 4 pecan pies.

To determine how many pounds of pecans you should buy for making 4 pecan pies for a wedding, you need to have an idea of the quantity of pecans required to make one pie. Typically, a single pecan pie recipe calls for 1 ½ cups of pecans. However, the actual amount of pecans needed depends on the size of the pie you are making. For instance, if you are making a deep-dish pecan pie, you may need to increase the amount of pecans.

Assuming that you are making standard-sized pies, each requiring 1 ½ cups of pecans, you will need a total of 6 cups of pecans to make 4 pies. A standard 1-pound bag of pecans contains around 4 cups of pecans. Hence, you would need to buy about 1.5 pounds of pecans to make the 4 pecan pies.

However, if you prefer to add more pecans to your pies, you may want to purchase additional bags of pecans. In such a case, it is advisable to purchase an extra half-pound of pecans for every extra cup of pecans you intend to use.

In conclusion, to make 4 pecan pies for a wedding, you should purchase 1.5 pounds of pecans.

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Answer:

D

Step-by-step explanation:

Answer:

£1.44

Step-by-step explanation:

We need to find the number of days it was due first.

26 Nov to 12 Dec: 16 days

1 day --- 9p

16 days --- 16 × 9p = 144p

                              = £1.44

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5.  Then, distribute 3 into a - 5 to get 3a - 15 when expanded.  Combine the two like terms 2a and 3a to get 5a.  Then, add 15 on both sides to get to this equation which is 5a = 20.  Divide 5 on both sides to get your a-value which is 4.

Answer:0.6

Step-by-step explanati

The total distance covered by Mary while walking around the track is 2 1/2 miles.

On a track, Mary and Jerry are working out.

Mary is moving along at a 3 mph pace.

After Mary has been walking for fifteen minutes, Jerry begins to jog at a speed of four miles per hour.

Mary continues to walk as Jerry jogs for two kilometers before they both stop at the same time.

Enter Mary's total walking mileage around the track in miles.

Find the distance M had walked when J starts jogging.

15 min = 0.25 hrs

3 × .25 = .75 miles

Find how long it took J to jog 2 miles at 4 mph

2/4 = .5 hrs

Find how far M can walk in .5 hrs at 3 mph

.5 × 3 = 1.5 miles

Enter the total distance, in miles, that Mary walks around the track

.75 + 1.5 = 2.25 mi or 2 1/4 miles.

Hence distance covered in miles is 2.25 miles.

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The derivative of function f(x) is:

\(\(\frac{1}{b} + \frac{2x}{c} + \frac{3x^2}{d} + \frac{20x^3}{e}\)\)

To calculate the derivative of the function \(\( f(x) = a + \frac{1}{b}x + \frac{1}{c}x^2 + \frac{1}{d}x^3 + \frac{5}{e}x^4 \), where \( a \), \( b \), \( c \), \( d \), and \( e \)\) are constants, we'll differentiate each term separately. Here's the detailed calculation:

1. The derivative of the constant term a is 0.

\(\(\frac{d}{dx}(a) = 0\)\)

2. For the term \(\( \frac{1}{b}x \)\), the derivative is simply \(\( \frac{1}{b} \)\), since the derivative of x  with respect to x  is 1.

\(\(\frac{d}{dx}\left(\frac{1}{b}x\right) = \frac{1}{b}\)\)

3. Moving on to the term \(\( \frac{1}{c}x^2 \)\), we use the power rule to find its derivative. The power rule states that if we have a term of the form \(\( cx^n \)\), where c and n  are constants, the derivative is \(\( cnx^{n-1} \)\).

 \(\(\frac{d}{dx}\left(\frac{1}{c}x^2\right) = \frac{1}{c} \cdot 2x = \frac{2x}{c}\)\)

4. Similarly, for the term \(\( \frac{1}{d}x^3 \)\), we apply the power rule:

\(\(\frac{d}{dx}\left(\frac{1}{d}x^3\right) = \frac{1}{d} \cdot 3x^2 = \frac{3x^2}{d}\)\)

5. Lastly, for the term \(\( \frac{5}{e}x^4 \)\), we once again use the power rule:

\(\(\frac{d}{dx}\left(\frac{5}{e}x^4\right) = \frac{5}{e} \cdot 4x^3 = \frac{20x^3}{e}\)\)

Now, we can sum up these derivatives to find the overall derivative of f(x):

\(\(\frac{d}{dx}(f(x)) = 0 + \frac{1}{b} + \frac{2x}{c} + \frac{3x^2}{d} + \frac{20x^3}{e}\)\)

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Greetings from Brasil...

Using Cossine we will get the length L of ladder

COS 35 = 5/L

We found the derivative of f(x) = x² at x = 3 to be 6.

Finding the derivative of a function at a certain number involves taking the derivative using the appropriate formula, then substituting the given value to obtain the derivative at that specific point. The power rule is a useful derivative formula for power functions. In the example given, we found the derivative of f(x) = x² at x = 3 to be 6.

To find the derivative of a function at a certain number, we need to use the derivative formula. For example, let's say we want to find the derivative of the function f(x) = x² at x = 3. We start by taking the derivative of the function using the power rule, which states that if f(x) = xⁿ, then f'(x) = nxⁿ⁻¹.

So, applying the power rule to f(x) = x², we get f'(x) = 2x. To find the derivative at x = 3, we simply substitute x = 3 into the derivative formula: f'(3) = 2(3) = 6.

Therefore, the derivative of f(x) = x² at x = 3 is 6.


To find the derivative of a function at a certain point, we first need to take the derivative of the function using the appropriate derivative formula. For power functions like f(x) = x^n, we use the power rule to differentiate the function. Once we have the derivative formula, we substitute the given value into it to find the derivative at that specific point. In the example given, we found the derivative of f(x) = x² at x = 3 by applying the power rule to get f'(x) = 2x, then substituting x = 3 to get f'(3) = 2(3) = 6.



To summarize, finding the derivative of a function at a certain number involves taking the derivative using the appropriate formula, then substituting the given value to obtain the derivative at that specific point. The power rule is a useful derivative formula for power functions. In the example given, we found the derivative of f(x) = x² at x = 3 to be 6.

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Answer:

y = -1/2

Step-by-step explanation:

−7⋅

Answer:

Step-by-step explanation:

y/-7=1/14

use cross multiplication

Hope it helps

Answer:

4 goals per hour

Step-by-step explanation:

Find the 'unit rate' by dividing '12 goals' by the time, '3 hours.'

We get:

 12 goals

---------------- = 4 goals per hour

    3 hrs

The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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An instrument commonly used to construct circles and arcs of circles is a compass.

A compass consists of two arms: one with a pointed end and the other with a pencil or pen attached. The pointed arm is fixed at one point, known as the center, while the other arm can be adjusted to create circles of different sizes. By placing the pointed end on a specific point and rotating the pencil end around it, a perfect circle or arc can be drawn.

Compasses are widely used in various fields such as mathematics, geometry, drafting, architecture, and art to accurately create circular shapes and arcs.

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b ) The absolute value od a negative number is positive

The absolute value of |-$250| = $250

Chelsea paid the electric company $250

c) The absolute value of |-54| = 54

The temperature -54 degrees fahrenheit is 54 degree fahrenheit

d) The distance between Adelphi and Sterling is 34.3 miles

The DML Compiler translates Data Manipulation Language (DML) queries into Relational Algebra operations to be used by the Relational Database Management System (RDBMS).

The DML Compiler starts by parsing the query to determine which operations are needed. It then builds an Abstract Syntax Tree (AST) which is a hierarchical representation of the query. Next, the DML Compiler will perform semantic analysis on the AST to ensure that all operations are valid and the query is valid. After the semantic analysis has been done, the DML Compiler will then translate the AST into Relational Algebra operations, which are a collection of mathematical rules used to manipulate data in a relational database. Finally, the DML Compiler will generate an executable code and send it to the RDBMS to be executed. The result of the query is then returned to the user.

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The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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Answer:

Step-by-step explanation:

The given line has a slope m = 4.

We know parallel lines have equal slopes.

Use point - slope equation and substitute the coordinates of the given point to get:

Answer #1

2.25,2 5/8, 3.75, 4 3/7

Answer #2

5 1/2, 5.21, 4.6, 3 3/5

Step-by-step explanation:

assuming two points with coordinates :

(Xa,Ya) and (Xb,Yb)

use formula : (Xb-Xa)/ (Yb-Ya)

= 5+1/-3-1 = 6/-4

the standard form is 6/-4 × x

Answer:

Step 1

Step-by-step explanation:

Concepts:

Solving:

Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.

(24 + 3 + 10) - 14 + 2

1. Add 24 and 3 together

2. Add 27 and 10 together

3. Subtract 14 from 37

4. Add 23 and 2 together

Now, let's compare these steps to the ones given.

There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.

Answer:

There are 6 zeros in one million.

Step-by-step explanation:

1000000 (one million)

6 zeros

Answer:

d. 1/16

Step-by-step explanation:

Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.

Hope this helps!

Yes, the given curves are orthogonal.

In mathematics, an orthogonal trajectory is a curve, which intersects any curve of a given pencil of (planar) curves orthogonally.

Given equation is,

x²+y²=ax

Differentiating,

2x+2yy'=a

y' = (a-2x)/2y = m1

Again,

x²+y²=by

Differentiating,

2x+2yy'=by'

y' = -2x/(2y-b) = m2

For both curves are orthogonal, we have

m1*m2 = -1

(a-2x)/2y*-2x/(2y-b)  = -1

-2ax+4x² = -4y²+2yb

4(x²+y²) = 2ax+2yb

Since, ax = (x²+y²)

by = (x²+y²)

Then,

4(x²+y²) = 2(x²+y²) +2(x²+y²)

4(x²+y²) = 4(x²+y²)      (true)

Hence, the above response is appropriate.

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