an online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship a maximum of 24 pieces of furniture and must sell a minimum of $5400 worth of chairs and tables. Also, the store must sell at least 14 tables and a maximum of 6 chairs. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer:$2931.45

Step-by-step explanation:

Answer:

y=8x

8x=y

Step-by-step explanation:

The 99% confidence interval for the population standard deviation of body temperature is (0.61°F, 0.80°F). Since the entire interval is below 1.80°F, it is safe to conclude that the population standard deviation is less than 1.80°F.

To construct a confidence interval estimate of the standard deviation of body temperature, we can use the formula:

s/sqrt(n-1) * sqrt((n-1)/chi-square(alpha/2, n-1)) < σ < s/sqrt(n-1) * sqrt((n-1)/chi-square(1-alpha/2, n-1))

where s is the sample standard deviation, n is the sample size, α is the significance level (1- confidence level), and chi-square is the chi-square distribution function.

Plugging in the values given, we get:

0.69/sqrt(107-1) * sqrt((107-1)/chi-square(0.01/2, 107-1)) < σ < 0.69/sqrt(107-1) * sqrt((107-1)/chi-square(1-0.01/2, 107-1))

0.69/10.344 * sqrt(106/71.605) < σ < 0.69/10.344 * sqrt(106/146.577)

0.177 < σ < 0.233

Therefore, we can say with 99% confidence that the population standard deviation of body temperature is between 0.177 and 0.233.

As for whether it is safe to conclude that the population standard deviation is less than 1.80°F, we can see that the confidence interval we calculated does not include this value. However, we cannot definitively say that the population standard deviation is less than 1.80°F without further evidence or a wider confidence interval.

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Answer:

y is 96 when x is 12

Step-by-step explanation:

If x and y vary directly, it means that they are proportional to each other. Mathematically, we can write this relationship as:

y = kx

where k is the constant of proportionality.To find the value of k, we can use the information given in the problem. We know that when x is 6, y is 48. Substituting these values in the equation above, we get:

48 = k * 6

Solving for k, we get:k = 8

Now that we know the value of k, we can use the equation to find y when x is 12:

y = kx

y = 8 * 12

y = 96

Therefore, when x is 12, y is 96.

also in my head I just said if 12 is double of 6, just double 48, which is 96. but that doesn’t always work so that’s why I provided “correct” work above

TRUE. As one performs multiple separate hypothesis tests, the risk of committing a Type I error (rejecting a true null hypothesis) accumulates.

This overall risk is referred to as the experiment-wise alpha level or family-wise error rate (FWER). It represents the probability of making at least one Type I error among all the conducted tests.

When multiple hypothesis tests are performed simultaneously or sequentially, the individual alpha levels (typically set at 0.05) for each test may no longer be appropriate. This is because if we conduct, for example, 20 separate tests with an alpha level of 0.05 for each test, the cumulative chance of committing at least one Type I error can be much higher than the desired 5%.

To control the experiment-wise error rate, various multiple comparison procedures and adjustments can be employed, such as the Bonferroni correction or the Holm-Bonferroni method. These methods aim to maintain a desired level of significance for the entire set of tests, reducing the risk of accumulating Type I errors.

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Answer: C

Step-by-step explanation: half of 6 is 3 so its C

The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given Baylor University defeated Michigan State University by a score of 84 to 62.

Score of Baylor University = 84

Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.

Let the number of free throws = x

The number of two-point field goals was six more than the number of free throws.

Number of two point field goals = x + 6

Also, the number of two-point field goals was four times the number of three-point field goals.

Number of two point field goals =  4 (number of three-point field goals)

So, 4 (number of three-point field goals) = x + 6

Number of three-point field goals = (x + 6) / 4

Score for free throw = 1 point × x

Score for 2 point field goal = 2 points × (x + 6)

Score for 3 point field goal = 3 points × [(x + 6)/4]

[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84

x + 2x + 12 + 3/4 x + 18/4 = 84

3.75x + 16.5 = 84

3.75x = 67.5

x = 18

Number of free throws = x = 18

Number of two point field goals = x + 6 = 18 + 6 = 24

Number of three-point field goals = (x + 6) / 4 = 24/4 = 6

Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.

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Answer:

63 sandwiches

Step-by-step explanation:

Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter

They brought 7 loaves of bread

Each loaves have 18 slices

They used 2 slices each to make the sandwich

The first step is to calculate the total number of slices

Sinces 7 loaves of bread are used and each of them contain 18 slices then, the total number of slices can be calculated as follows

= 7 ×18

= 126 slices

Therefore since 2 slices of bread is used to make one sandwich then, the number of sandwiches that was made can be calculated as follows

= 126/2

= 63

Hence 63 sandwiches were made for the shelter

The probability that a randomly chosen positive integer less than mn is not divisible by either m or n is (mn - m - n + 1) / (mn - 1).

We can start by finding the total number of positive integers less than mn. Since we are choosing a number less than mn, we have mn-1 possible choices.

Next, we can count the number of positive integers less than mn that are divisible by m or n. To do this, we can use the principle of inclusion-exclusion.

The number of positive integers less than mn that are divisible by m is (n-1) m, because there are n-1 multiples of m less than or equal to mn. Similarly, the number of positive integers less than mn that are divisible by n is (m-1) n.

However, if we simply add these two numbers together, we would be double-counting the numbers that are divisible by both m and n. Therefore, we need to subtract the number of multiples of mn. There is only one such multiple, which is mn itself.

So, the number of positive integers less than mn that are divisible by either m or n is:

(n-1) m + (m-1) n - 1

To find the probability that a randomly chosen positive integer less than mn is not divisible by either m or n, we can subtract this number from the total number of choices and divide by the total number of choices:

P(not divisible by m or n) = (mn-1 - [(n-1) m + (m-1) n - 1]) / (mn-1)

Simplifying this expression, we get:

P(not divisible by m or n) = (mn - m - n + 1) / (mn - 1)

This is the probability that we are looking for, in terms of m and n.

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The bearing of H from P is 243°26′

In mathematics, an angle is a measure of the amount of rotation between two lines or planes. It is measured in units of degrees or radians. An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of the angle and the vertex is the point where the rays meet.

An angle is defined by its measure, which is the amount of rotation between the two rays. The most common way to measure angles is in degrees, where a full rotation is equal to 360 degrees. Another way to measure angles is in radians, where a full rotation is equal to 2*pi radians.

Let the bearing of H from P be represented by x°.

tanθ=3060=0.5

θ=tan−1(0.5)=26.565°

x=180°+(90−26.565)

x=180+63.435=243.435°

= 243°26′

Hence, the bearing of H from P is 243°26′

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The rectangular coordinates (3, -1), we found that the polar coordinates are (3.2, -0.3). The angle between the line segment joining the point with the origin and the x-axis is approximately -0.3 radians or about -17.18 degrees.

Given rectangular coordinates are (3, -1).

To find polar coordinates, we will use the formulae:

r = √(x² + y²) θ = tan⁻¹ (y / x)

Where, r = distance from origin

θ = angle between the line segment joining the point with the origin and the x-axis.

Converting the rectangular coordinates to polar coordinates (3, -1)

r = √(x² + y²)

r = √(3² + (-1)²)

r = √(9 + 1)

r = √10r ≈ 3.16

θ = tan⁻¹ (y / x)

θ = tan⁻¹ (-1 / 3)θ ≈ -0.3

Thus, the polar coordinates of (3, -1) are (3.2, -0.3).

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Answer:

2x -3

Step-by-step explanation:

Answer:

2x-3 isn't monomial. hope u like it

The exact area of the region bounded by the given curves is ln(3/4).

To find the exact area of the region bounded by the curves **y = x^2/(1 - x^2)**, **y = 0**, **x = 0**, and **x = 1/2**, we can integrate the appropriate function over the given interval.

Let's start by graphing the region to visualize it better.

The curve **y = x^2/(1 - x^2)** represents a hyperbola and is defined for **-1 < x < 1** (since the denominator cannot be zero). The curves **y = 0**, **x = 0**, and **x = 1/2** are simply the x-axis and two vertical lines, respectively.

The shaded region is enclosed between the curve **y = x^2/(1 - x^2)** and the x-axis, bounded by **x = 0** and **x = 1/2**.

To find the exact area, we integrate the function **y = x^2/(1 - x^2)** with respect to **x** over the interval **[0, 1/2]**:

Area = ∫[0, 1/2] (x^2/(1 - x^2)) dx

To simplify the integration, we can use partial fraction decomposition:

x^2/(1 - x^2) = (x^2 / (1 + x))(1 / (1 - x))

Now we can rewrite the integral as:

Area = ∫[0, 1/2] (x^2 / (1 + x))(1 / (1 - x)) dx

To evaluate this integral, we can split it into two separate integrals:

Area = ∫[0, 1/2] (x^2 / (1 + x)) dx - ∫[0, 1/2] (x^2 / (1 - x)) dx

Integrating each term separately, we obtain:

Area = [ln|1 + x| - x + C] evaluated from 0 to 1/2 - [ln|1 - x| + x + C] evaluated from 0 to 1/2

Simplifying and substituting the limits of integration, we have:

Area = ln(3/2) - 1/2 - (ln(2) - 1/2)

Area = ln(3/2) - ln(2) + 1/2 - 1/2

Area = ln(3/2) - ln(2)

Finally, using the logarithmic identity ln(a) - ln(b) = ln(a/b), we get:

Area = ln[(3/2)/2]

Area = ln(3/4)

Therefore, the exact area of the region bounded by the given curves is ln(3/4).

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Life , Health , Car are considered to be very important insurance ,  Rental Car Damage , Travel Insurance has no usage.

Insurance is safe guarding any thing which has some monetary or emotional value to it , It can be life , health , car , house , your gold etc.

Insurance protects you against something you can never predict .The life is unpredictable and Insurance is a cover to that .

As given in the question , a person can be lucky enough that he never gets to use the money that he invested in the Insurance , but not investing due to this is wrong.

This is not difference of opinion but lack of prediction of future and lack of understanding the needs of life.

Life , Health , Car , Home , Fire etc . insurance that protects the basic amenities of life are considered to be very important ,

while nowadays insurance of Rental Car Damage , Travel Insurance , these are some which has no usage beyond the fact that they cover nothing.

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Answer:

the answer is that 7x6 42 so you must divide by x to get the population

Step-by-step explanation:

Answer:

2x - y = -5

Step-by-step explanation:

do the math equation in the calculator and you will get the right answer

Answer:

y = -2x + 6

Step-by-step explanation:

The equation is,

→ 6x + 3y = 18

Then the value of y will be,

→ 6x + 3y = 18

→ 3y = -6x + 18

→ y = (-6x + 18)/3

→ [ y = -2x + 6 ]

Hence, value of y is -2x + 6.

Comparing 7/10 and 1/3 by first comparing both to 1/2,

Hence, the first mistake was in Step 1

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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Step-by-step explanation:

everything can be found in the picture above

Answer:

.6 se

Step-by-step explanation:

Answer:

5.76

Step-by-step explanation:

a p e x

Answer:

x = 8; y = 29

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

8x = 7x + 8

x = 8

4y = y + 87

3y = 87

y = 29

Answer:

x = 8

y = 29

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

15.75 miles

Step-by-step explanation:

You would do 2.25 times 7 (the amount of days in the week)

(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

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Point A is located at (4, 4) in the coordinate plane.With these dimensions, we can determine that Point A is located at (4, 4) in the coordinate plane.

To find the coordinates of point A, we need to consider the properties of the shaded region. The shaded region consists of a rectangle and a triangle. We know that the area of the shaded region is 120 square units, and the height of the line segment above the horizontal axis is 4 units.

The rectangle's area is given by its length multiplied by its width. Since the height of the rectangle is 4 units, we can deduce that the length of the rectangle is also 4 units. Therefore, the width of the rectangle can be found by dividing the total area of the shaded region by the length of the rectangle.

Subtracting the width of the rectangle from the total width of the shaded region will give us the base of the triangle. Since the triangle is isosceles, the base length is equal to the height of the rectangle.

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-1

gradient is y/x so -1/1 is -1

Answer:

The correct answer is -1.

Step-by-step explanation:

gradient is y/x so -1/1 is -1.

Hope thsi helps you Please Mark me Brainleast!!!

the answer is -13 + 3i, which corresponds to option (a).

To perform the subtraction (-4 - 6i) - (9 - 9i), we need to subtract the real parts and the imaginary parts separately.

Subtracting the real parts: -4 - 9 = -13

Subtracting the imaginary parts: -6i - (-9i) = -6i + 9i = 3i

Combining the real and imaginary parts, we have -13 + 3i. Therefore, the correct answer is option a. -13 + 3i.

In complex number form, the result of the subtraction is -13 + 3i. The real part is -13, which represents the difference of the real parts of the two complex numbers. The imaginary part is 3i, which represents the difference of the imaginary parts of the two complex numbers.

It's important to remember that when subtracting complex numbers, we subtract the real parts and the imaginary parts separately. In this case, -4 - 9 gives us -13 as the real part, and -6i - (-9i) gives us 3i as the imaginary part.

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