A rectangular hotel room is 5 meters by 7 meters. The owner of the hotel wants to recarpet
the room with carpet that costs $47.00 per square meter. How much will it cost to recarpet
the room?

The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)

In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.

The formula for NORM.INV function is:

= NORM.INV(1-A, mu, sigma)

where:

A is the right-tail probability (or area)

mu is the mean of the distribution

sigma is the standard deviation

The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.

Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.

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Answer: 240 ÷ 3 = c

Step-by-step explanation: The answer to the equation 80 dollars per night.

hope this helps

Answer:

I believe the answer is D, have a good day and God bless :)

Answer: the answer is 370/99

Answer:

y = 3/2x-3 vs. y = 2x-3

Step-by-step explanation:

2y=3x-6  ------ y = 3/2x-3

Answer:

Step-by-step explanation:

Determine the two consecutive multiples of 10 that bracket 19.

19 is between 10 and 20.

15 is the midpoint between 10 and 20.

As illustrated on the number line, 19 is greater than the midpoint (15)

Therefore, 19 rounded to the nearest is 20

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We need to know about the relation between roots of a quadratic equation for solving the question. The quadratic equation with roots 3/4 and 1/2 is \(8x^{2} -10x+3=0\)

Quadratic equation is an equation with the highest order of variable being 2. Roots of a quadratic equation are the values that satisfy the equation.Since quadratic equation has the highest order as 2, the equation has two roots. Roots of a quadratic equation can be real and unique, real and equal or imaginary. The roots of a quadratic equation can be used to get the quadratic equation itself.

Let there be a quadratic equation:

\(ax^{2} +bx+c=0\\x^{2} +\frac{b}{a} x+\frac{c}{a} =0\)

Let the roots of the quadratic equation be α and β, then

α+β=-b/a

αβ=c/a

In this question we know the two roots are 3/4 and 1/2. So we can derive the quadratic equation from them

\(\frac{3}{4} +\frac{1}{2} =\frac{-b}{a} \\\frac{-b}{a} =\frac{5}{4}\)

\(\frac{3}{4}\)×\(\frac{1}{2} =\frac{c}{a}\)

\(\frac{c}{a} =\frac{3}{8}\)

The quadratic equation is:

\(x^{2} -\frac{5}{4} x+\frac{3}{8} =0\\8x^{2} -10x+3=0\)

Therefore we found the quadratic equation with roots 3/4 and 1/2 to be \(8x^{2} -10x+3=0\)

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The number of integers N less than 1000 that can be written as the sum of j consecutive positive odd integers from exactly 5 values of j ≥ 1 is 15.

Arithmetic sequence is a sequence of numbers/terms that has a fixed pattern, based on the operation of subtraction or addition. Thus, each sequence of numbers will have a common difference.

Formula: aₙ = a₁ + (a - 1)d,

where aₙ is the nᵗʰ term and a₁ is the first term in the sequence, and d is the common difference between terms

Sum of n terms = n (a₁ + aₙ) / 2

We want to know the number of integers N less than 1000 that can be written as the sum of j consecutive positive odd integers from exactly 5 values of j ≥ 1

First, we determine:

- the first odd integer in the list: 2n + 1, where n ≥ 1

- the last odd integer in the list: 2n + 1 + 2(j - 1) = 2(n + j) - 1

These odd integers form a sequence with the following sum:

N = n (a₁ + aₙ) / 2

   = j (2n + 1 + 2(n + j) - 1) / 2

   = j (2n + 1 + 2n + 2j - 1) / 2

   = j (4n + 2j) / 2

   = j (2n + j)

We also know that there are exactly 5 values of j that satisfy the equation, there must be either 9 or 10 factors of N.

This means N = p₁².p₂² or N = p₁.p₂⁴

If N is odd, then j is also odd, which means that 2n+j is also odd. It is valid for all odd j.  Given the boundary of 1000, the possibilities of odd N are (3².5²), (3².7²), (3⁴.5), (3⁴.7), and (3⁴.11) ---> 5 possibilities

If N is even, then j is also even. If we substitute j = 2k into the N, we get:

  N = j (2n + j)

      = 2k (2n + k)

      = 4k (n + k)

N/4 = k (n + k)

This formula implies that the new upper bound is 250. So the possibilities of even N are (2².3²), (2².5²), (2².7²), (3².5²), (2⁴.3), (2⁴.5), (2⁴.7), (2⁴.11), (2⁴.13), and (3⁴.2) ---> 10 possibilities

Thus, the total number of integer N is 5 + 10 = 15

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Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

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Answer:

  (x, y) = (2, -5)

Step-by-step explanation:

The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...

  (-2x +3y) -3(-7x +y) = (-19) -3(-19)

  -2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses

  19x = 38 . . . . . . . . . simplify

  x = 2 . . . . . . . divide by 19

  -7(2) +y = -19 . . . . . substitute for x in the first equation

  y = -5 . . . . . . add 14

The solution is (x, y) = (2, -5).

Answer:

this is not a function because one y value has two different x values

Step-by-step explanation:

The area of the sector formed by the central angle AOB is 9/2 (or 4.5) times the area of the circle.

The area of a sector is given by the formula:

Area of Sector = (θ/2π) * πr^2

Where θ is the central angle in radians, and r is the radius of the circle.

In this case, the central angle AOB has a measure of 4.5π radians.

The area of the sector formed by AOB is:

Area of Sector = (4.5π/2π) * πr^2

= (9/2) * πr^2

= 9/2 * πr^2

The total area of the circle is given by the formula:

Area of Circle = πr^2

To find the fraction of the area of the sector to the area of the circle, we divide the area of the sector by the area of the circle:

Fraction = (9/2 * πr^2) / (πr^2)

= (9/2)

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Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5

The four elements that comprise approximately 96% of our body weight are oxygen, carbon, hydrogen, and nitrogen.

The four elements that comprise approximately 96% of our body weight are oxygen, carbon, hydrogen, and nitrogen.

1. Oxygen

2. Carbon

3. Hydrogen

4. Nitrogen

The four elements that comprise approximately 96% of our body weight are oxygen, carbon, hydrogen, and nitrogen. Oxygen comprises about 65% of the body, carbon about 18%, hydrogen about 10%, and nitrogen about 3%. Together, these four elements make up an estimated 96% of the total body weight.

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The system of equations has two solutions: (0,2) and (-4/5, -6/5).

The substitution method is a way to solve a system of two linear equations with two variables. The method involves solving one of the equations for one of the variables, and then substituting that expression into the other equation in place of the same variable. This process reduces the system of two equations and two variables to a single equation and a single variable, which can then be solved.

We have the system of equations:

4x² + y² = 4 ........(1)

y = x + 2 ........(2)

We can solve this system of equations by substitution.

Substitute (2) into (1) to eliminate y:

4x² + (x + 2)² = 4

Simplify and solve for x:

4x² + x² + 4x + 4 = 4

5x²+ 4x = 0

x(5x + 4) = 0

x = 0 or x = -4/5

If x = 0, then from equation (2), y = 2. So one solution is (x,y) = (0,2).

If x = -4/5, then from equation (2), y = -6/5. So the other solution is (x,y) = (-4/5, -6/5).

Therefore, the system of equations has two solutions: (0,2) and (-4/5, -6/5).

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Answer:

-2v+2u+5

Step-by-step explanation:

Distribute the negative sign outside of the parentheses to the values within the parentheses (2v, -2u, and -5). This will give you -2v+2u+5. Let me know if you want a more detailed explanation, hope this helps

Answer:

A $78.50

Step-by-step explanation:

Pennies $2.50

nickels $6.00

dimes $30.00

quarters $40.00

Answer:

The first graph is correct.

Step-by-step explanation:

Note that the equation states x ≥ 2.  It includes the "equals" sign, so the graph line should include 2.  This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line.  The dashed line is correct for x>2, but not for x ≥ 2.

Answer:

12, 48 divided by 6 is 12

Step-by-step explanation:

hope this helps <3

Answer:

8 cards were in each pack

Step-by-step explanation:

Since she has a total of 48 cards and we know that each of the 6 packs that she bought had the same amount you would do 48 divided by 6 to get 8. So there were 8 cards in each pack.

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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For this particular question, the method that is not used to test hypotheses is the survey method.

What are the methods used to test hypotheses?                                                                                                                                                                       In statistics, hypothesis testing is a method of statistical inference that compares two hypotheses about a population. The following are methods used to test hypotheses:

Traditional (computed value) method:This method compares the test statistic to a critical value based on a predetermined alpha level, which is a value set to determine if the null hypothesis should be rejected.

P-value method: The P-value approach compares the test statistic to the p-value to determine if the null hypothesis should be rejected or not.

Confidence interval method: The confidence interval approach compares the test statistic to the lower and upper bounds of the confidence interval to determine if the null hypothesis should be rejected or not.

Survey method: The survey method is not used to test hypotheses, but it is a way of collecting data from a group of individuals to understand their opinions or attitudes.

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A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

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It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.

According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.

Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.

However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.

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Probabilities are used to determine the chances of an event.

The probability of a failure for the binomial experiment is (d) 0.67

The probability (p) that a student likes beef stew is given as:

\(\mathbf{p = 33\%}\)

Using the complement rule, the probability (q) that a student does not like beef stew is calculated as:

\(\mathbf{q =1-p}\)

Substitute 33% for p

\(\mathbf{q =1-33\%}\)

Express 33% as decimal

\(\mathbf{q =1-0.33}\)

Subtract 0.33 from 1

\(\mathbf{q =0.67}\)

From the question, the probability (q) that a student does not like beef stew represents failure

Hence, the probability of a failure is (d) 0.67

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Answer:

What’s ur question tho?

Answer:

BRUH

Step-by-step explanation:

why you do this with no QUESTION

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Given equation,

→ 3x - 12 = 15

Now the value of x will be,

→ 3x - 12 = 15

→ 3x = 15 + 12

→ x = 27/3

→ [ x = 9 ]

Hence, the value of x is 9.

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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