Cynthia besch wants to buy a rug for a room that is 18ft wide and 35ft long she wants to leave a uniform strip of floor around rug she can afford to buy 528 ft of carpeting what dimensions should rug have

ANSWER

(-7, -8)

EXPLANATION

To locate the pair of numbers that add up to -15, look down your p+q column. This equals (p, q) (-7, -8).

Answer:

x=3

Step-by-step explanation:

5(x+1)+=4    

   6

5x+5+4=4

     6

5x+9=4

    6

5x+9=24               5x=24-9              5x=15              x=3

Answer:

x = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

11 = 5 * 2 * 22 + 2 * 5

11 = 110 + 10

11 = 120

11 = 5 * 4 * 22 + 2 * 3

11 = 440 + 6

11 = 446

Please let me know if you have any questions.

Answer:

$658.20

Step-by-step explanation:

Money paid in deductible = $3,291

percentage of money to be co-paid = 20% of Money paid in deductible

Thus, she has to 20 percent more which will be 20/100 th part of money paid in deductible.

Solving it we have

Money to be co-paid =  20% of $3,291 = 20/100 * $3,291 =  $658.20

Thus, Keiko will  pay (copay) $658.20 for the hospital bill

the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.

To find the probability of receiving five calls on a given day at the emergency center, we need to use the Poisson distribution formula:

\(P(x = 5) = (e^{-4})*\frac{(4^5)}{(5!)}\)
Where:
- x = number of phone inquiries
- e = Euler's number (approximately 2.71828)

- ! = factorial (i.e. 5! = 5*4*3*2*1)

Given that the average number of phone inquiries per day is four, we can use that as our lambda (λ) value in the Poisson distribution formula, since lambda represents the mean number of events in a specific time interval:

λ = 4

Now we can substitute these values into the formula and solve:

P(x = 5) = (e^-4)*(4^5)/(5!) = (2.71828^-4)*(1024)/(120) ≈ 0.156

Therefore, the probability that the emergency center will receive five calls on a given day is approximately 0.156, or 15.6%.

learn more about Poisson distribution formula:

https://brainly.com/question/30388228

#SPJ11

The probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.

To find the probability that the emergency center will receive five calls on a given day, given that the average number of phone inquiries per day is four, we can use the Poisson distribution formula.

Identify the average rate (λ): In this case, λ = 4 calls per day.

Identify the desired number of events (k): In this case, k = 5 calls.

Use the Poisson distribution formula: \(P(X = k) = (e^(-λ) \times (λ^k)) / k!\)

e is the base of the natural logarithm (approximately 2.71828)

λ is the average rate

k is the desired number of events

k! is the factorial of k

Plug in the values and calculate the probability:

\(P(X = 5) = (e^{(-4)} \TIMES (4^5)) / 5!\)

\(P(X = 5) = (0.0183 \times 1024) / 120\)

P(X = 5) ≈ 0.1755

So, the probability that the emergency center will receive five calls on a given day is approximately 0.1755 or 17.55%.

for such more question on  probability

https://brainly.com/question/24756209

#SPJ11

Total number of games for 9 teams so that each team will play 12 games in the baseball league will be 432

Total number of teams in the baseball league is 9

Total number of games that each team will play is 12

Since, each team will have option of 8 teams to play with since no team can play with itself

Therefore, number of games that each team will play after playing 12 games will be 8 x 12 = 96

Since there are 9 teams, therefore total number of games that two teams will play = 96 x 9 = 864

Now, as it takes two teams to play a game therefore the required number of games for the 9 teams = 864/2 = 432

To know more about the permutation and outcomes, visit here:

https://brainly.com/question/28515300

#SPJ4

Answer: By putting it on a graph

Step-by-step explanation:

The sum of the measures of an exterior angle of a polygon is 360°.

If the given angle divides 360 evenly, then it can be a measure of an exterior angle of a polygon. If otherwise, then it cannot be.

Out of the given angles, only 50 does not divide 360 evenly. Therefore, a regular polygon cannot have an exterior angle measuring 50°. (Option B)

A simple linear regression model predicts the response variable using a single predictor variable. In this case, the average relative skill is used to predict the total number of wins in a regular season.

In simple linear regression, the relationship between the predictor variable (average relative skill) and the response variable (total number of wins) is represented by the equation:

Wins = Intercept + Slope * Average Relative Skill

The overall F-test assesses the significance of the linear relationship between the predictor and response variables. The steps of this hypothesis test are as follows:

a. Null Hypothesis (H0): There is no significant linear relationship between average relative skill and the total number of wins in a regular season.

b. Alternative Hypothesis (Ha): There is a significant linear relationship between average relative skill and the total number of wins in a regular season.

c. Level of Significance: The chosen significance level (typically 0.05) determines the threshold for accepting or rejecting the null hypothesis.

d. The F-test statistic evaluates the overall significance of the regression model. It compares the explained variation (due to the model) to the unexplained variation (residuals). The associated p-value determines the statistical significance of the F-test.

By comparing the test statistic to the critical value and considering the p-value, we can make conclusions about the significance of the linear relationship between average relative skill and the total number of wins.

Learn more about simple linear regression

brainly.com/question/32505018

#SPJ11

Answer:

Step-by-step explanation:

\(\frac{(2x^3y^{-3})^2}{16x^7y^{-2}}\\ =\frac{4x^6y^{-6}}{16x^7y^{-2}}\\ =\frac{1}{4xy^4}\)

Numerator = 1

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

Read more on representative sampling;

https://brainly.com/question/25142707

#SPJ4

The closest point to y in the subspace W spanned by u1​ and u2​ is [-2/13, 16/13, 72/13, 0, -18/13].

The projection formula will be used to find the closest point to y = [1, 1, 9, 2, 2] in the subspace W spanned by u1 = [2, -1, 0, 0, 0] and u2 = [-1, 3, 4, 0, -1],

\(proj_W(y) = (y . u1 / ||u1||^2) * u1 + (y . u2 / ||u2||^2) * u2\)

where

. denotes the dot product and

||u|| denotes the norm of u.

compute the norms of u1 and u2:

\(||u1|| = \sqrt(2^2 + (-1)^2) = \sqrt(5)\)

\(||u2|| = \sqrt((-1)^2 + 3^2 + 4^2) = \sqrt(26)\)

Next, compute the dot products y . u1 and y . u2:

y . u1 = [1, 1, 9, 2, 2] . [2, -1, 0, 0, 0] = 2 - 1 + 0 + 0 + 0 = 1

y . u2 = [1, 1, 9, 2, 2] . [-1, 3, 4, 0, -1] = -1 + 3 + 36 + 0 - 2 = 36

Substitute these values into the projection formula, we get:

proj_W(y) = (1/5) * [2, -1, 0, 0, 0] + (36/26) * [-1, 3, 4, 0, -1]

= [-2/13, 16/13, 72/13, 0, -18/13]

Therefore, the closest point to y in the subspace W is [-2/13, 16/13, 72/13, 0, -18/13].

Learn more on closest point on https://brainly.com/question/10600452

#SPJ4

Answer:

57°

Step-by-step explanation:

Angle b and 33° are complementary angles and their sum is 90°.

The nerve that is likely to be damaged in this case is the ulnar nerve.Based on the symptoms described.

The damage to the forearm and the resulting loss of motor function and sensation in the 4th and 5th phalanges and the side of the hand above these fingers suggest an injury to the ulnar nerve. The ulnar nerve is one of the major nerves that innervate the hand and forearm.

The ulnar nerve runs along the inner side of the forearm, near the ulna bone. It provides motor function to the muscles controlling the movement of the 4th and 5th fingers and the hypothenar muscles of the hand. Additionally, it supplies sensory innervation to the 4th and 5th fingers and the corresponding side of the hand. In cases of forearm fractures or trauma, such as a bad forearm break, the ulnar nerve can be compressed, stretched, or directly injured. This can lead to a condition known as ulnar nerve entrapment or ulnar neuropathy. Symptoms of ulnar nerve damage include weakness or paralysis of the affected fingers, loss of sensation, tingling or numbness in the 4th and 5th fingers, and pain along the path of the nerve.

It is important for individuals experiencing these symptoms to seek medical attention for proper diagnosis and treatment. Treatment options for ulnar nerve injuries may include immobilization, physical therapy, medications for pain management, and in severe cases, surgical intervention to decompress or repair the damaged nerve. Prompt medical care and rehabilitation can help improve the prognosis and restore function in the affected hand and fingers.

To learn more about ulnar nerve click here:

brainly.com/question/31667879

#SPJ11

As a result, the response to the query that the area provided With interiors of 32 and 44 square feet, respectively, the future complex will consist of a 60.1-foot circular.

Finding out how big a rectangle or rectangle is is the simplest (and most used) method. Divide the width by the altitude to find the area of a rectangle. Since all sides of a square are equal in length, determining the area of unit only requires knowledge of the size of one of its sides.

Here,

Here is the formula for area:

The area formula is length times width.

=> 8 × 4

= >32ft²

Following space will be on the trapezoid:

=>(14 + 18)/2 × 4

=> 44ft²

By multiplying the measurement by two, the perimeter will indeed be determined. Knowing this,

= 2(8 + 4) + (14 + 8 + 4 + 5.6 + 4.5)

= 24 + 36.1

= 60.1 ft

In light of this, the answer to the area-related question is

For the specified polygon, 60.1 square feet.

To know more about area , visit

brainly.com/question/27683633

#SPJ1

Answer:

100 - 100(.9)(.8) = 100(1 - .72) = 100(.28) = 28

The total discount is rs 28.

Answer:

7/4 and 3/8.

Step-by-step explanation:

You can get this by dividing all possible answers, and if the decimal stops you have a terminating decimal.

Answer:

6

Step-by-step explanation:

Answer:

To reflect the shape in the line y = 1:

(-4, 4) → (-4, -2)

(-1, 4) → (-1, -2)

(-1, 2) → (-1, 0)

The area of ΔAFD is 42 squared unit.

The area of a triangle is the amount of space that the triangle would occupy on a 2 dimensional plane.

Area of a triangle = 1/2 x base x height

To solve the given problem, let the height be resented by x and the base be represented by y. So that applying the trigonometric function to determine the values, we have;

i. Sin θ = opposite/ hypotenuse

Sin 30 = x/ 14

x = 14 x Sin 30

     = 7

The height is 7 units.

ii. Cos θ = adjacent/ hypotenuse

   Cos 30 = y/ 14

  y = 14 x Cos 30

       = 12

The base is 12 units.

Therefore, the area of triangle AFD can be determined by;

Area of ΔAFD = 1/2 x 12 x 7

                       = 42

The area of ΔAFD is 42 squared unit.

Learn more about the area of a triangle at https://brainly.com/question/27843019

#SPJ1

Answer:

Gain = $666.67

Step-by-step explanation:

The businessman exchanged 660000 INR to US Dollar using the exchange rate of $1 = INR 110

Value of the money in dollars is;

(660000 × 1)/110 = $6000

Now, Nepali currency is reevaluated by 10%. This means it's value has gone up by 10%.

Thus, exchange rate of $1 is now;

110 - 10%(110) = INR 99

Thus, 660000 INR to US Dollar using this new exchange rate gives;

(660000 × 1)/99 = $6666.67

Therefore he made a gain.

Gain = 6666.67 - 6000

Gain = $666.67

Answer:

x-6 = -4

Step-by-step explanation:

3x - 8= -2

Add 8 to each side

3x - 8+8= -2+8

3x = 6

Divide by 3

3x/3 = 6/2

x =2

We want to find x-6

2-6 = -4

Answer: - 4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6/3

x = 2

so, therefore x - 6 => 2 - 6 = -4

Answer:

1/16

Step-by-step explanation:

3/8 of 2/3 is 1/4.

1/4 of 1/4 is 1/16

Step-by-step explanation:

I can't solve this one but I'll leave my comment for your question to reach more people

Answer:

300

Step-by-step explanation:

total entire area 6 * 3* 3 = 54

area of  tiles = 0.90* 0.20 =0.18

so tiles number = 54/0.18 = 300

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To know more about asymptotic complexity refer here:

https://brainly.com/question/30214690#

#SPJ11

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

For more details: brainly.com/question/18071485

#SPJ9

The accumulated value of the investment of $15,000 for 4 years at an interest rate of 5% is approximately $18,319.41 when compounded semiannually, $18,404.43 when compounded quarterly, $18,483.23 when compounded monthly, and $18,500.56 when compounded continuously.

What is compound interest?

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

We can use the formula for the accumulated value of an investment, which is:

\(A = P(1 + r/n)^{(nt)}\)

where:

A is the accumulated value (or future value) of the investment

P is the principal (or present value) of the investment, which is $15,000 in this case

r is the annual interest rate as a decimal, which is 0.05 (since the interest rate is 5%)

n is the number of times the interest is compounded per year

t is the number of years

(a) Compounded semiannually:

If the investment is compounded semiannually, then n = 2 (twice a year) and t = 4 years. Substituting these values into the formula, we get:

\(A = $15,000(1 + 0.05/2)^{(2*4)}\)

A  ≈ $18,319.41

So the accumulated value of the investment, compounded semiannually, is approximately $18,319.41.

(b) Compounded quarterly:

If the investment is compounded quarterly, then n = 4 (four times a year) and t = 4 years. Substituting these values into the formula, we get:

\(A = $15,000(1 + 0.05/4)^{(4*4)}\)

≈ $18,404.43

So the accumulated value of the investment compounded quarterly, is approximately $18,404.43.

(c) Compounded monthly:

If the investment is compounded monthly, then n = 12 (twelve times a year) and t = 4 years. Substituting these values into the formula, we get:

\(A = $15,000(1 + 0.05/12)^{(12*4)}\) ≈ $18,483.23

So the accumulated value of the investment, compounded monthly, is approximately $18,483.23.

(d) Compounded continuously:

If the investment is compounded continuously, then n approaches infinity and the formula becomes:

\(A = Pe^{(rt)}\)

Substituting the given values into the formula, we get:

\(A = $15,000e^{(0.05*4)}\)

≈ $18,500.56

So the accumulated value of the investment, compounded continuously, is approximately $18,500.56.

Therefore, the accumulated value of the investment of $15,000 for 4 years at an interest rate of 5% is approximately $18,319.41 when compounded semiannually, $18,404.43 when compounded quarterly, $18,483.23 when compounded monthly, and $18,500.56 when compounded continuously.

To learn more about compound interest visit:

https://brainly.com/question/3989769

#SPJ1