Math Question. 10 pts.

Answer:

17.43÷2.49 and 7 lbs

The problem states that 12 less than a variable, represented by 'm,' is no less than 132. The solution to the inequality is that 'm' is greater than or equal to 144.

To translate the given statement into an inequality, we can express "12 less than m" as "m - 12" and "no less than 132" as "≥ 132". Combining these expressions, we have the inequality: m - 12 ≥ 132. To solve for 'm,' we can add 12 to both sides of the inequality: m - 12 + 12 ≥ 132 + 12, which simplifies to m ≥ 144. Thus, the solution to the inequality is that 'm' is greater than or equal to 144. In interval notation, this can be written as [144, +∞), indicating that 'm' lies between 144 (inclusive) and positive infinity.

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I'm just going to take a chance and say 1.A, and 2.D.

Answer:

180

Step-by-step explanation:

Answer: 180ft^3

Step-by-step explanation:

The volume of the prism by plugging the values into the V=bh formula. Using the A=1/2 bh formula for the area of the base, we would have \((28.5)(24) = 684 ft\)

To calculate the volume of the prism , we can use the formula V=bh. In this formula, V stands for volume, b stands for the base area, and h stands for the height of the prism. To find the area of the base, we can use either the formula \(A=1/2 bh or A=bh\).

In this particular case, the base of the prism is a right triangle with a base of 9 1/2 feet and a height of 6 feet. To find the area of the base using the \(A=1/2 bh\) formula, we would multiply the base and height and then divide it by \(2. (9.5*6)/2 = 28.5 ft^2\). To find the area of the base using A=bh, we would simply multiply the base and height. \(9.5*6 = 57 ft^2\).

The height of the prism is 24 feet. With the base area and the height of the prism, we can find the volume of the prism by plugging the values into the V=bh formula. Using the A=1/2 bh formula for the area of the base, we would have \((28.5)(24) = 684 ft.\)

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Answer:

c = a² + 8

d = 4a

Step-by-step explanation:

(a + √8)² =

= a² + 2a√8 + 8

= a² + 4a√2 + 8

= a² + 8 + 4a√2

Compare to c + d√2

c = a² + 8

d = 4a

Answer:

Answer: x = √3 and 8/(3√3)

Step-by-step explanation:

\({ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}\)

• For the first bracket:

\({ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}\)

• For the second bracket;

\({ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}\)

If the mean is 60, standard deviation is 10 and there are 50 students in the class, then the probability that it will be a failing paper is 0.1587.

Let us assume that any paper with a score below 50 is considered a failing paper.

We know that the mean of exam scores (μ) = 60 and

the standard deviation (σ) = 10,

This means that the distribution of exam scores follows a normal distribution with mean μ = 60 and standard deviation σ = 10,

To find the probability that a randomly selected paper is a failing paper, we need to find area under the normal curve to left of score of 50.

By using standard normal distribution, where we standardize exam scores by subtracting mean and dividing by standard deviation,

⇒ Z = (X - μ)/σ

Where X = exam score, μ = mean, and σ = standard deviation.

Substituting the values,

we get,

⇒ Z = (50 - 60)/10 = -1,

By using standard normal distribution table, the probability is approximately 0.1587.

Therefore, the required probability is 0.1587.

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Answer:

Step-by-step explanation:

By the Pythagorean Theorem

\(h^2=x^2+y^2\\ \\ 18^2=6^2+y^2\\ \\ y^2=18^2-6^2\\ \\ y^2=324-36\\ \\ y^2=288\\ \\ y=\sqrt{288}\\ \\ y\approx 17.0ft\)

A statistical method that is commonly used in the process of creating a clinical prediction rule is: Regression analysis to identify the most important predictive factors. The answer is: 3)

When creating a clinical prediction rule, regression analysis is commonly used to identify the most important predictive factors. Regression analysis helps determine the relationship between a set of independent variables (predictors) and a dependent variable (outcome).

By analyzing the coefficients and significance levels of the predictors, regression analysis can identify which factors have the strongest association with the outcome and thus should be included in the prediction rule.

Options 1) Analysis of variance, 2) Frequencies, and 4) Calculation of effect size are not specific methods typically used in the process of creating a clinical prediction rule.

Analysis of variance is used to test for differences between groups, frequencies determine prevalence, and effect size calculates the magnitude of an observed effect. While these methods may be relevant in other statistical analyses, they are not commonly used in the creation of clinical prediction rules.

Hence, the correct option is: 3)

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Answer:

C=42.5

Step-by-step explanation:

Hypotenuse=C

First leg=A=32

Second leg=B=28

C^2 = A^2 + B^2 => C^2 = 32^2 + 28^2 => C^2 = 1024 + 784 => C^2 = 1808 => C = 42.5

The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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The length of the rectangle is 24 cm.

To find the length of the rectangle, we can use the given information about the breadth and perimeter.

Let's denote the length of the rectangle as L. The formula for the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width (breadth).

Given that the breadth (W) is 8 cm and the perimeter (P) is 64 cm, we can set up the equation:

64 = 2L + 2(8)

Simplifying the equation:

64 = 2L + 16

Subtracting 16 from both sides:

48 = 2L

Dividing both sides by 2:

24 = L

Therefore, the length of the rectangle is 24 cm.

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Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

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The example that meets the given specific conditions that 3 × 3 nonzero matrices and ab = 033 are a = \(\left[\begin{array}{ccc}0&0&0\\0&0&0\\1&0&0\end{array}\right]\) and b = \(\left[\begin{array}{ccc}0&1&1\\0&0&0\\0&0&0\end{array}\right]\).

To get such examples where matrix's configuration is 3 x 3 and the multiplication of the matrix is equal to zero, we need to take such values on a specific position so that the multiplication results in zero. We have been given certain conditions, which needs to be taken care of.

According to the question given, a and b are 3 × 3 nonzero matrices:

a = \(\left[\begin{array}{ccc}0&0&0\\0&0&0\\1&0&0\end{array}\right]\)

b = \(\left[\begin{array}{ccc}0&1&1\\0&0&0\\0&0&0\end{array}\right]\)

Now, multiplication of a and b results:

ab = \(\left[\begin{array}{ccc}0&0&0\\0&0&0\\1&0&0\end{array}\right] * \left[\begin{array}{ccc}0&1&1\\0&0&0\\0&0&0\end{array}\right]\)

ab = \(\left[\begin{array}{ccc}0*0 + 0*0 + 0*0& 0*1 + 0*0 + 0*0&0*1 + 0*0 + 0*0\\0*0 + 0*0 + 0*0&0*1 + 0*0 + 0*0&0*1 + 0*0 + 0*0\\0*0 + 0*0 + 1*0&0*1 + 0*0 + 0*0&0*1 + 0*0 + 1*0\end{array}\right]\)

ab = \(\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right]\)

Therefore, the example that meets all the given specific conditions in the question are a = \(\left[\begin{array}{ccc}0&0&0\\0&0&0\\1&0&0\end{array}\right]\) and b = \(\left[\begin{array}{ccc}0&1&1\\0&0&0\\0&0&0\end{array}\right]\).

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Answer:

Step-by-step explanation:

X = 180-117 = 63

y = 90-63 = 27

Step-by-step explanation:

the numbers: 5, 7, 7, 1

the number of numbers:4

mean: the numbers all added then divided by the number of numbers

5+7+7+1=20

20÷4 is 5 so the mean of the date is 5=

the average is 5

Answer:

You show them in pictures.

This is 2/3.



This is 3/5.



They’re pretty similar, but you can tell that more is shaded in the first than the second. If they’re 8 though, then they’re probably in 2nd or 3rd grade. They’ll get it.

Another suggested pic:



The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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Answer:

Step-by-step explanation:

it is given by the formula=4× 90/ n

where n = number of sides

exterior angle= 4 x 90/13

=360/13=\(27.7\)°

The dependent variable is the ounces of the cherry flavor consumed, while the independent variable is the relative value of the reward paired with the flavor.

The dependent variable is ounces of the cherry flavor consumed, while the independent variable is the relative value of the reward paired with the flavor, according to the study by Dwyer, Figuerooa, Gasalla, and Lopez (2018).The dependent variable is measured on a ratio scale since it has an absolute zero point and a meaningful interpretation of ratios between values. It is possible to conclude that the dependent variable is continuous since it can take on any value within a range of values. When the researcher reports that subject number 4 consumed 2.5 ounces of cherry-flavored water, the lower and upper real limits of this score are 2.45 ounces and 2.55 ounces, respectively, since the consumption of the solution was rounded to the nearest tenth of an ounce.

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The area of trapezoid \($ABCD$\) is \($164 \text{cm}^2$\). The altitude is\($8 \text{cm}$\), \($AB$\) is \($10 \text{cm}$\), and \($CD$\) is \($17 \text{cm}$\). The length of \($BC$\), in centimeters, is 18 cm.

The formula to calculate the area of a trapezoid is given by \($A = \frac{1}{2}(b_1 + b_2)h$\), where \($b_1$\) and \($b_2$\) are the lengths of the parallel sides (the bases) and $h$ is the altitude (the height).

In this case, we are given that the area is \($164 \text{cm}^2$\) the altitude is \($8 \text{cm}$\),\($AB$\) is \($10 \text{cm}$\), and \($CD$\) is \($17 \text{cm}$\). We need to find the length of \($BC$\).

Using the formula for the area, we can set up the equation \($164 = \frac{1}{2}(10 + BC) \cdot 8$\). Simplifying this equation, we have \($328 = (10 + BC) \cdot 8$\).

Dividing both sides of the equation by 8, we get \($41 = 10 + BC$\). Subtracting 10 from both sides, we find that \(BC = 41 - 10 = 31$\).

Therefore, the length of \($BC$\) is 31 centimeters.

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That sounds like a valuable process for gathering feedback and improving the product and service.

By surveying 50 customers over a period of four weeks, your team was able to gather insights and identify three major issues: product quality, delivery timelines, and customer support.

The fact that this feedback was received after two weeks allowed your team to make improvements to later test shipments. This iterative approach of collecting feedback, making improvements, and iterating on the product and service is crucial for refining and optimizing the customer experience.

By actively listening to customer feedback and taking action to address their concerns, you are demonstrating a customer-centric approach, which can contribute to higher levels of customer satisfaction and the long-term success of Plant Pals.

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Answer:300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Answer:

The answer to your question is 3.9 m or u can also write it like this 3.9 m² or like this 3.9 millimeter you choose

first, you have to convert 3m to cm.

3m = 300cm

after that, you calculate for the area. (if you dont remember, the equation is A=wl.) the answer is 39000cm, or 390m.

They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?