What is the slope, m, of the line represented by the table below?
A. -4
B. -1/3
C. 1/3
D. 3

To have the determinant negative, at least one Eigenvalue has to be negative but the reverse of this statement may or may not be true.

If we add all the diagonal elements of the square matrix, we get the trace of the given matrix.

Eigenvalues is a scalar that associates with a set linear equation described as -

(A - λ I) X = 0

If we take the product of all the eigenvalues of a matrix, we'll get the determinant of the matrix. If we consider a case in which the trace of the matrix is +ve, and its determinant is -ve, then at least one or an odd no. of Eigenvalues must be negative, since their product has to be positive when we solve for the determinant of the matrix

Therefore, to have the determinant negative, at least one Eigenvalue has to be negative but reverse may or may not be true.

Learn more about eigenvalues on

https://brainly.com/question/29579848?referrer=searchResults

#SPJ4

The value of function at x= -1 is f(-1) = 4.

We have the function as

f(x) = 2x² - 3x -1

To find the value of f(-1) when f(x) = 2x² - 3x -1, we substitute x = -1 into the expression:

f(-1) = 2(-1)² - 3(-1) - 1

      = 2(1) + 3 - 1

      = 2 + 3 - 1

      = 4.

Therefore, the value of function at x= -1 is f(-1) = 4.

Learn more about Function here:

https://brainly.com/question/32020999

#SPJ6

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

Answer: A

because slope are

The corresponding element in the range of the function F when 7 is in the domain is 4.6.

The expression for the given function F following as:

F(x) = 6(x) - 19 / 5

The corresponding element in the range of the function F is the output of the function when 7 is input into the function.

To find this output, we can substitute 7 for X in the expression for the function F:

F(7) = 6(7) - 19 / 5

F(7) = 42 - 19 / 5

F(7) = 23 / 5

F(7) = 4.6

Thus, when 7 is in the domain, the equivalent element in the range of the function F is 4.6.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

As there is sufficient evidence to conclude that the population mean weight is at least 16 ounces.

What is standard deviation ?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.

The following null and alternative hypotheses need to be tested

H0 :  µ  = 16

Hα :  µ  < 16

This corresponds to a left-tailed test , for which a z-test for one mean, with known population standard deviation will be used.

Based on the information provided, the significance level is α = 0.1, and the critical value for the left-tailed test is \(Z_{c}\) = -1.28

The rejection region for this left-tailed test is R = {z : z < -1.282}

The z-statistics is computed as follow

\(z = \frac{X - µ _{0} }{sigma / \sqrt{n} }\)

   = (15.84 - 16) / (0.4 / √16)

   = -1.6

To learn more about standard deviation from the given link  

https://brainly.com/question/475676

#SPJ1

Answer:

f(5) = 100

Step-by-step explanation:

f(n) = 10•2n for n = 5

for n = 5 means we will plug in 5 for every instance of n.

f(5) = 10•2(5)

Multiply.

f(5) = 10•10

Multiply.

f(5) = 100

Hope this helps!

The pressure at an altitude of 5000 m if The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases by about 11.5% is  58.08 kPa.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

The atmospheric pressure, P = 101 kPa,

For every 1000 meters, the pressure decreases by 11.5%,

So at the height of 5000 meter, the % decrease will be 5 × 11.5 = 57.5%,

Now let the 57.5% of 101 kPa be x then,

x = 57.5/100 × 101  kPa,

x = 58.08 kPa,

Therefore, the pressure at an altitude of 5000 m if The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases by about 11.5% is  58.08 kPa.

To know more about percentages:

https://brainly.com/question/20818421

#SPJ1

Answer:

7/100

Step-by-step explanation:

please mark me brainliest

Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).

Answer:

(4,5)

Step-by-step explanation:

A reflection is a mirror image of the shape.

A reflection across the x-axis maps point (4,-5) to point (4. 5).

A reflection is a mirror image of the shape.

After the reflection, every point in a figure is equidistant from each corresponding point in the reflected figure.

We have,

A point = (4, -5)

The point is reflected across the x-axis.

The reflection formula is given as:

Reflection across the x-axis:

(x, y) → (x, -y)

Reflection across the y-axis:

(x, y) → (-x, y)

The point (4, -5) reflected across the x-axis is:

(4, -5) → (4, - (-5)) = (4, 5)

Thus,

A reflection across the x-axis maps point (4,-5) to point (4. 5).

Learn more about reflections here:

https://brainly.com/question/15487308

#SPJ2

Answer:

Ones place or one.

Step-by-step explanation:

From left to right it goes by ones (01), tens(10), hundreds(100), thousands(1,000), etc.

Hope this helps

~R3V0

Hey there! I'm happy to help!

Let's represent this as an expression. The product means you multiply and the quotient means you divide. Difference means you subtract This gives us this expression.

3m-m÷2    

I hope that this helps! Have a wonderful day!

Answer:

f(-4) = -14

Step-by-step explanation:

f(x) = 2x – 6

Let x = -4

f(-4) = 2*-4 -6

f(-4) = -8-6

f(-4) = -14

Answer:

The answer is -14

Step-by-step explanation:

f(-4) = 2(-4) - 6

= -8 - 6

= -14

Answer:

54

Step-by-step explanation:

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

Are there any choices?..

The correct statement the describes the equation is The lines intersect at (1, 0) and the lines are parallel.

x - y = 1.............equation 1

y - x = 1.............equation 2

Add equations (1) and (2):

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

Simplifying

0 = 2

Since 0 = 2, the system is inconsistent, meaning there is no solution. The lines represented by the equations are parallel and will never intersect.

The system of equations has no solution, as the lines represented by the equations are parallel and will never intersect.

learn more about parallel here

brainly.com/question/17405097

#SPJ2

The complete question is- Which statement describes the graph of the system of equations?

[x-y=1

Ly- X= 1

The lines are parallel.

The lines are coinciding.

The lines intersect at(1, 0).

The lines intersect at (-1,0).

Answer:

a)

\(P(X = 0) = h(0,100,15,5) = \frac{C_{5,0}*C_{95,15}}{C_{100,15}} = 0.4357\)

\(P(X = 1) = h(1,100,15,5) = \frac{C_{5,1}*C_{95,14}}{C_{100,15}} = 0.4034\)

\(P(X = 2) = h(2,100,15,5) = \frac{C_{5,2}*C_{95,13}}{C_{100,15}} = 0.1377\)

\(P(X = 3) = h(3,100,15,5) = \frac{C_{5,3}*C_{95,12}}{C_{100,15}} = 0.0216\)

\(P(X = 4) = h(4,100,15,5) = \frac{C_{5,4}*C_{95,11}}{C_{100,15}} = 0.0015\)

\(P(X = 5) = h(5,100,15,5) = \frac{C_{5,5}*C_{95,10}}{C_{100,15}} = 0.00004\)

b) 0.154% probability that there are at least 4 defective welders in the sample

Step-by-step explanation:

The welders are chosen without replacement, so the hypergeometric distribution is used.

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

100 welders, so \(N = 100\)

Sample of 15, so \(n = 15\)

In total, 5 defective, so \(k = 5\)

(a) Determine the PMF of the number of defective welders in your sample?

There are 5 defective, so this is P(X = 0) to P(X = 5). Then

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,100,15,5) = \frac{C_{5,0}*C_{95,15}}{C_{100,15}} = 0.4357\)

\(P(X = 1) = h(1,100,15,5) = \frac{C_{5,1}*C_{95,14}}{C_{100,15}} = 0.4034\)

\(P(X = 2) = h(2,100,15,5) = \frac{C_{5,2}*C_{95,13}}{C_{100,15}} = 0.1377\)

\(P(X = 3) = h(3,100,15,5) = \frac{C_{5,3}*C_{95,12}}{C_{100,15}} = 0.0216\)

\(P(X = 4) = h(4,100,15,5) = \frac{C_{5,4}*C_{95,11}}{C_{100,15}} = 0.0015\)

\(P(X = 5) = h(5,100,15,5) = \frac{C_{5,5}*C_{95,10}}{C_{100,15}} = 0.00004\)

(b) Determine the probability that there are at least 4 defective welders in the sample?

\(P(X \geq 4) = P(X = 4) + P(X = 5) = 0.0015 + 0.00004 = 0.00154\)

0.154% probability that there are at least 4 defective welders in the sample

Answer:

circle a is 16π

Step-by-step explanation:

circle b is approximately 314 square units

circle c is 64π

circle d is 4π

Answer:

The guy above me said the right answer.

Step-by-step explanation:

I took the quiz and got those questions right

Answer:

y = 0

Step-by-step explanation:

0.4 = 1.5y + 0.4  Subtract 0.4 from both sides

0 = 1.5y  Divide both sides by 1.5

0 = y

Helping in the name of Jesus.

Answer:      -172

Explanation: (-17.2 x2.5)=  -43x4= -172

Answer:

3 times at 3

Step-by-step explanation:

Answer:

The correct option is;

D. Neither is a function of the other

Step-by-step explanation:

The given parameters are;

The number of reps Tobias does in a day = A

The day in which Tobias does the reps = B

Therefore, given that the days are counting when and when he does not do reps, then B is independent of A, or B is not a function of A

Similarly, given that Tobias does reps every day, and the number of days are infinite, therefore, the number of reps, A is not a function of B, which gives;

Neither is a function of the other.

Answer:

In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.

To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.

Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.

1. The value of x is 9

2. The value of x is 8

To determine the value of the variables, we need to know the properties of a triangle.

These properties includes;

Now, from the information given, we have that;

<L = <Q

<M = <R

The side facing <L is 9

The side facing <Q is x

x = 9

2. The side facing <L is 6

The side facing <Q is 12

Then, x = 8

Learn more about triangles at: https://brainly.com/question/14285697

#SPJ1

Answer:  89 yards

Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.

Answer:

75

Step-by-step explanation:

math