Please help I’ll mark your brainlist!

Answer: The answer would be A 64ft

Step-by-step explanation:

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P(B|A) represents the probability of event B occurring given that event A has occurred. The value of  P(B|A) is 1/4.

P(A|B) represents the probability of event A occurring given that event B has occurred.

It can be calculated using the formula P(A|B) = P(A∩B) / P(B).

Given that P(A∩B) = 1/8 and P(B) = 1/4, we can substitute these values into the formula to find

P(A|B) = (1/8) / (1/4) = 1/4.

P(B|A) represents the probability of event B occurring given that event A has occurred.

It can be calculated using the formula P(B|A) = P(A∩B) / P(A).

Given that P(A∩B) = 1/8 and P(A) = 1/2, we can substitute these values into the formula to find

P(B|A) = (1/8) / (1/2) = 1/4.

P(A∪B) represents the probability of either event A or event B (or both) occurring.

It can be calculated using the formula P(A∪B) = P(A) + P(B) - P(A∩B).

Given that P(A) = 1/2, P(B) = 1/4, and P(A∩B) = 1/8, we can substitute these values into the formula to find

P(A∪B) = (1/2) + (1/4) - (1/8) = 5/8.

P(A~|B~) represents the probability of event A's complement occurring given that event B's complement has occurred. Since A~ is the complement of A,

P(A~) = 1 - P(A).

Similarly, B~ is the complement of B, so P(B~) = 1 - P(B).

Using these complement probabilities, we can calculate P(A~|B~) = P(A~∩B~) / P(B~).

The complement of A∩B is (A~∪B~), so P(A~|B~) = P(A~∪B~) / P(B~).

Given that P(B~) = 1 - P(B) = 3/4 and P(A~∪B~) = 1 - P(A∪B) = 3/8, we can substitute these values into the formula to find P(A~|B~) = (3/8) / (3/4) = 3/4.

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This equation has complex solutions and that means the system has no nontrivial solutions for real value of lambda.

\(\lambda = \frac{-6±\sqrt{-164} }{4} \\\)

Now, According to the question:

Nontrivial Solutions of a System:

System of equations has a form:

AX = 0, X = (x , y, z)

System of equations has a nontrivial solutions if a determinant of a system is zero. If the determinant is not zero than the matrix has inverse and a nontrivial solution x=0. This can be said differently: The homogeneous system has the trivial solution if rank of A in the row reduced form of matrix is equal to the number of unknown variables. If rank of A is less than the number of variables then the system has nontrivial solutions.

λx + 2y + z = 0

x + 5y + 2z = 0

3x - λy + z= 0

So, we calculate and determinant :

\(\left[\begin{array}{ccc}\lambda&2&-1\\1&5&2\\3&-\lambda&1\end{array}\right]\)  \(= \lambda det\left[\begin{array}{ccc}5&2\\-\lambda&1\end{array}\right]\) \(-2det\left[\begin{array}{ccc}1&2\\3&1\end{array}\right]\) \(det\left[\begin{array}{ccc}1&5\\3&-\lambda\end{array}\right]\)

\(=2\lambda^2+6\lambda+25=0\)

This equation has complex solutions and that means the system has no nontrivial solutions for real value of lambda.

\(\lambda = \frac{-6±\sqrt{-164} }{4} \\\)

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The given question is incomplete, complete question is :

For which values of ? does the following system have nontrivial solutions

λx + 2y + z = 0

x + 5y + 2z = 0

3x - λy + z= 0

Answer:

slope = \(\frac{5}{8}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 8, 7) and (x₂, y₂ ) = (16, 22)

m = \(\frac{22-7}{16+8}\) = \(\frac{15}{24}\) = \(\frac{5}{8}\)

Y would be undefined as any value because x is always equal to to, so y can be any number

Let "x" be the number of grams of peanuts in the mixture, then "1000 − x" is the number of grams of green peas in the mixture.

The cost of peanuts per kilogram is PHP 50.00 while the cost of green peas is PHP 80.00 per kilogram.

Now, let us set up an equation for this problem:

\(\[\frac{50x}{1000}+\frac{80(1000-x)}{1000} = 62\]\)

Simplify and solve for "x":

\(\[\frac{50x}{1000}+\frac{80000-80x}{1000} = 62\]\)

\(\[50x + 80000 - 80x = 62000\]\)

\(\[-30x=-18000\]\)

\(\[x=600\]\)

Thus, the composition of the mixture must be:

Nuts: 600 grams, Green peas: 400 grams.

Therefore, the correct answer is option B.

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Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x  ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2,  f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [-5 - 3] / [2-0]

                      = -8 / 2

                     = - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

We can be 95% confident that the true population mean TV viewing time is between 3.812 and 4.388 hours.

To calculate the 95% confidence interval, we use the formula:

CI = x' ± Zα/2 * (σ/√n)

Where:

x' = sample mean

Zα/2 = the Z-score associated with the desired confidence level (in this case, 95%, so Zα/2 = 1.96)

σ = population standard deviation

n = sample size

Substituting the given values, we get:

CI = 4.1 ± 1.96 * (1.3/√78)

Calculating the standard error (SE) first:

SE = σ/√n

SE = 1.3/√78

SE ≈ 0.147

Then we substitute the SE value in the CI formula:

CI = 4.1 ± 1.96 * 0.147

CI = 4.1 ± 0.288

CI = (3.812, 4.388)

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The population is decreasing by 15% every year

The initial population = 15,000

Since it decreases every year

Decreases every year = (100 - 15)

The rate of the population every year = 75%

What this simply means is that the population of California keep decreasing by 15%

Assuming the population of California in 2018 is 15000

By 2019 , it would have decreased by 15%

The new population in 2019 will now be = (100 - 15)% x 15000

= 85% x 15000

= 0.85 x 15000

= 12, 750

Therefore, the population in 2019 will now be 12, 750.... It will keep decreasing like that

To find the total differential of the function w = e^y * cos(x) * z^2, we can take the partial derivatives with respect to each variable (x, y, and z) and multiply them by the corresponding differentials (dx, dy, and dz).

The total differential can be expressed as:

dw = (∂w/∂x) dx + (∂w/∂y) dy + (∂w/∂z) dz

Let's calculate the partial derivatives:

∂w/∂x =   \(-e^{y} * sin(x) * z^{2}\)

∂w/∂y =  \(e^{y} * cos(x) * z^{2}\)

∂w/∂z =  \(2e^{y} *cos (x)* z\)

Now, let's substitute these partial derivatives into the total differential expression:

\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y}* cos(x) * z^{2} ) dy + 2e^{y} *cos (x)*z) dz\)

Therefore, the total differential of the function w = e^y * cos(x) * z^2 is given by:

\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y} * cos(x) * z^{2} ) dy + ( 2e^{y} * cos(x) * z) dz\)

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In single-case designs, the standard for comparison purposes to evaluate the treatment effects is typically the individual's own performance during different phases of the study. Here's a step-by-step explanation:

1. Baseline Phase: The study begins by collecting data on the individual's behavior or performance without any intervention. This phase is called the baseline and serves as a reference point for comparison.

2. Intervention Phase: After establishing the baseline, the researcher introduces the treatment or intervention. The individual's performance during this phase is then compared to their performance during the baseline phase.

3. Reversal or Withdrawal Phase (optional): In some single-case designs, the intervention is withdrawn to see if the individual's performance returns to baseline levels. This phase helps to further establish the treatment's effectiveness.

4. Replication (optional): The study can be replicated with the same individual or with other individuals to demonstrate the treatment's effectiveness across different cases.

By comparing the individual's performance across these different phases, researchers can evaluate the treatment effects without the need for a control group.

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Answer:

Style A shoes sold : 152

Style B shoes sold : 88

Step-by-step explanation:

Let :

Forming equations :

Substitute the value of x from 1 in 2.

Finding x :

Solution :

Answer:

A. Side-Angle-Side (SAS).

Step-by-step explanation:

Sides go first. Side.

Angle next. Angle.

Side again. Side.

You got Side angle side.

If quadrilateral be ABCD

There are two traingles∆ABC and ∆ADC

Now

Hence

Angle Angle side is correct

Option 2 has a lower NPV and thus should be chosen as it results in less total payment and better savings. Hence, you would choose option 2 as the Net Present Value of choosing option 2 is -9,903,615.48.

Given:

Purchase price = 12.5 million baht

Down payment = 15%30-year mortgage

We have to calculate the option which is best for us.

Option 1: Mortgage rate = 7.25%

Option 2:Mortgage rate = 6.75%

(a) Monthly Payment of Option 1:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12

= 360

i = 7.25%/12

= 0.006042857

Yearly Interest Paid = i * 10,625,000

= 64,515.48 baht

Monthly Interest Paid = 64,515.48 / 12

= 5,376.29 baht

EMI =\([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI = \([10,625,000 x 0.006042857 x (1+0.006042857)^360] / [(1+0.006042857)^360-1]\)

EMI = 69,677.31 baht

(b) Monthly Payment of Option 2:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12 = 360

i = 6.75%/12 = 0.005625

Yearly Interest Paid = i * 10,625,000

= 59,765.63 baht

Monthly Interest Paid = 59,765.63 / 12

= 4,980.47 baht

Point cost = 4% of Loan Amount

= 10,625,000 x 4/100

= 425,000 baht

Loan Amount after Deducting Points = 10,625,000 - 425,000

= 10,200,000 baht

EMI = \([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI =\([10,200,000 x 0.005625 x (1+0.005625)^360] / [(1+0.005625)^360-1]\)

EMI = 66,128.92 baht

(c) We have to calculate the NPV of the payments to decide which option is better.

We use the formula to calculate NPV:-

NPV = - \([B + (PMT / i) * (1 - (1 + i)^-n)] / ((1 + i)^t)\)

Where B = amount borrowed, PMT = monthly payment, i = interest rate, n = total number of payments, t = year.

NPV =\(- [10625000 + (69677.31 / 0.006042857) * (1 - (1 + 0.006042857)^-360)] / ((1 + 0.006042857)^30)\)

= -9,892,571.85 baht

NPV = \(- [10200000 + (66128.92 / 0.005625) * (1 - (1 + 0.005625)^-360)] / ((1 + 0.005625)^30)\)

= -9,903,615.48 baht

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The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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Answer:

c

Step-by-step explanation:

Answer:

The Answer is D X=1/2,4

Step-by-step explanation:

Answer:Missing: 3y² ‎Бу

Step-by-step explanation:

Step-by-step explanation:

hope it helps

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The height of the triangle is 0.00625.The correct option is D

A density graph must have an area under it equal to 1. The range of speeds in this problem, 320-0 = 320, is the base of the density graph, which is shaped like a triangle. By multiplying the base by half of the triangle's height, we can determine the density graph's area.

Let h represent the triangle's height. The triangle's area is then:

1 = (1/2)320h

calculating h:

h = 1 / (320/2) = 0.00625

Therefore, option D is appropriate because the triangle's height is 0.00625.

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Answer:

.0025%

Step-by-step explanation:

Answer:

The coordinates are

2,1

2, 3

4,3

3,1

Step-by-step explanation:

Answer: she must sell 6 large photos and 6 small photos

Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

Answer:

It's the mean because the average decreases the most if the 692 were removed

Answer:

Step-by-step explanation:

x² + 6x = 8

Coefficient of the x term: 6

Divide it in half: 3

Square it: 3²

Add 3² to both sides of the equation to complete the square and keep the equation balanced:

x² + 6x + 3² = 8 + 3²

(x+3)² = 17

The midpoint of diagonal PR is: B. (5, 4).

The midpoint of diagonal QS is: D. (5, 4).

The midpoint of the diagonals: E. coincide.

This implies that the diagonals of the parallelogram PQRS G. are equal to each other.

In order to determine the midpoint of a line segment with two (2) end points, we would add each end point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment PR, we have:

Midpoint of PR = [(4 + 6)/2, (7 + 1)/2]

Midpoint of PR = [10/2, 8/2]

Midpoint of PR = [5, 4].

For line segment QS, we have:

Midpoint of QS = [(8 + 2)/2, (7 + 1)/2]

Midpoint of QS = [10/2, 8/2]

Midpoint of QS = [5, 4].

In conclusion, we can reasonably infer and logically deduce that the midpoint coincides and the diagonals of parallelogram PQRS are equal to each other.

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If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

Given,

The total amount you had = $150

The amount you spend in each day = $2

Consider the number of days = x

Then the algebraic expression for this situation is 150-2x

Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x

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Answer:

19x−14y

Steps:

7x-3y+4x-5y+8x-6y

=19x-3y-5y-6y

= 19x−14y

plz mark as brainliest

Answer:

19x-14y

Step-by-step explanation:

rearrange

7x+4x+8x-3y-5y-6y

solve the coefficient and add the variables

Answer:

when x=-7

Step-by-step explanation:

if u are solving a function like this, u must not have a division by zero so if we put x=-7 in the function we hav a division by zero