A slope of − 2that goes through the point (–3, 7).! And show work please!

Answer:

z = \(\frac{kx^3}{y^2}\)

Step-by-step explanation:

Given that z is directly proportional to x³ and inversely proportional to y²

Then the equation relating them is

z = \(\frac{kx^3}{y^2}\) ← k is the constant of proportionality

The probability of getting an orange M&M is  \($\frac{144}{1498}$\)

To find the probability of getting an orange M&M, we need to divide the number of orange M&Ms by the total number of M&Ms. In this case, we are given that there are 144 orange M&Ms and 1354 that are not orange. Therefore, the total number of M&Ms is:Total number of \(M&Ms = 144 + 1354= 1498\)

Now, we can find the probability of selecting an orange M&M by dividing the number of orange M&Ms by the total number of M&Ms:Probability of getting an orange M&M = Number of orange M&Ms/Total number of M&Ms= 144/1498Thus, the probability of getting an orange M&M is $\frac{144}{1498}$ which can also be expressed as a decimal or percentage if required. However, since the question asks us to write the answer as a fraction, we have represented our answer as a fraction.

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The shape of this distribution is unimodal skewed right, meaning that it is centered around one peak and the tail of the distribution  unit is skewed to the right.

This data distribution is shown in the form of a histogram, which is a graphical representation of the frequency of each data point in a set. The shape of this distribution is unimodal skewed right, meaning that it is centered around one peak and the tail of the distribution is skewed to the right. This indicates that there is a higher concentration of data points on the right side of the peak, and fewer on the left side. Unimodal distributions are often seen in normal distributions, which are symmetrical and centered around the mean. This particular distribution is skewed right, meaning that the mean is shifted to the right of the peak, and that the right tail is longer than the left tail. This distribution could be the result of an unequal distribution of data points, or an underlying trend in the data that is causing the shape.

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Answer: D and E

Step-by-step explanation:

It is not an integer because it is represented by a fraction it is not an irrational number because it can be represented by the decimal 0.75. It is not a whole number because it is a fraction. It is rational because the decimal numbers do not go on forever and it is not an imaginary number so it is a real number.

The volume of the resulting prism is 3.375 times of original volume.

The factor by which the dimensions of an object are enlarged is called the scale factor.

Let us take the base area of Prizm = a²

Height of the prism = h

Enlarged area = (scale factor)² * previous area

Enlarged area = 1.5²*a² = 2.25a²

Enlarged height = 1.5h

So, enlarged volume = enlarged area* enlarged height

Enlarged volume= 2.25a²*1.5h = 3.375a²h

Enlarged area/previous area = 3.375a²/a² = 3.375

Therefore, the volume of the resulting prism is 3.375 times of original volume.

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Answer: 67

Step-by-step explanation:

Answer:

d is correct

Step-by-step explanation:

The given equations are as follows

\(\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}\)

(1) First, multiply both sides of equation A by 4, we have

\(4\times\left(\frac{x}{4} +1\right)=4\times(-3)\)

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

\(4\times\frac{x}{4}+4\times1=4(-3)\)

\(\Rightarrow x+4=-12\)

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

\(\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}\)

Step-by-step explanation:

\(\sf 7y-15=-29\)

Using the additive property of equality, we add 15 to both sides of the equation.

\(\sf 7y-15+15=-29+15\)

\(\sf 7y=-14\)

Using the inverse property of multiplication, we divide both sides of the equation by 7.

\(\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}\)

\(\sf y = -2\)

Answer:

1.5 as a fraction is written as 3/2

Step-by-step explanation:

The ratio 1.5 which is read "1.5 to 1" means that the length is 1.5 times the width. So, for example if your paper is 2 inches in width then the length is 1.5 × 2 = 3 inches.

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:

y = 5x-14

Step-by-step explanation:

We should use point-slope form to form our equation:

y-1 = 5(x-3)

y-1 = 5x-15

y = 5x-14

Our equation is now in slope-intercept form.

HTH :)

The optimal values of x and y are x = 4 and y = 3.

To find the optimal values of x and y using the graphical solution method, we need to graph the given inequalities and identify the feasible region.

The first inequality, x + y ≥ 7, represents a line with a slope of -1 passing through the point (0, 7). To graph it, we can plot this point and draw the line extending to the right and upwards. The feasible region lies above or on this line.

The second inequality, 5x + 2y ≥ 20, represents a line with a slope of -5/2 passing through the point (0, 10). Again, we can plot this point and draw the line extending to the right and upwards. The feasible region lies above or on this line.

The third condition, x ≥ 0 and y ≥ 0, indicates that x and y must be non-negative. This restricts the feasible region to the positive quadrant of the graph.

The intersection of the feasible regions determined by the two inequalities forms a region bounded by a triangle. We need to find the point within this region that minimizes the objective function x + y.

To find the optimal values, we can evaluate the objective function at the vertices of the feasible region:

Vertex A: (0, 7)

Objective function value: x + y = 0 + 7 = 7

Vertex B: (4, 3)

Objective function value: x + y = 4 + 3 = 7

Vertex C: (4, 5)

Objective function value: x + y = 4 + 5 = 9

The minimum value of the objective function occurs at vertices A and B, where the value is 7. Therefore, the optimal values of x and y are x = 4 and y = 3.

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Answer:

divide the fractions

Step-by-step explanation:

lets say we have 23/5

we can divide 23 by 5 and get a decimal of 4.6

or lets say we got 1/5

divide 1 by 5 and you will get 0.2

The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4)

A straight line is an infinitely wide one-dimensional figure. It is made up of an infinite number of points connected at both ends by another point. A straight line is devoid of all curves. It can be angled, vertical, or in any direction. A 180-degree angle will always result from drawing an angle between any two points on a straight line. we will learn how to read straight line equations in various formats and how to use them to answer questions about straight lines.

So that, The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4) as shown in attached diagram.

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Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.

Illinois city-to-airport distances can be discovered using a distance spatial join.

Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

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Answer:

21 or 21/1 or 42/2

Step-by-step explanation:

1. you need to change 1 1/2 to a uneven fraction

1 1/2 to 3/2

2. 3/2 * 14/1

3. Multiply across - 3/2 * 14/1 = 42/2

4.Then simplify: 21

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{21}}}}}\)

Step-by-step explanation:

\( \sf{1 \frac{1}{2} \times 14}\)

Convert mixed fraction into improper fraction

⇒\( \sf{ \frac{2 \times 1 + 1}{2} \times 14}\)

⇒\( \sf{ \frac{2 + 1}{2} \times 14}\)

⇒\( \sf{ \frac{3}{2} \times 14}\)

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

⇒\( \sf{ \frac{3 \times 14}{2 \times 1} }\)

⇒\( \sf{ \frac{42}{2} }\)

Divide 42 by 2

⇒\( \sf{21}\)

Hope I helped!

Best regards!!

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

To find the density of the brick, we need to divide its mass by its volume:

density = mass / volume

Plugging in the values given in the problem, we get:

density = 2,022.75 g / 1,064.5 cm³

Simplifying the division, we get:

density = 1.8996 g/cm³

Rounding to the nearest tenth, we get:

density ≈ 1.9 g/cm³

Therefore, the density of the brick is approximately 1.9 grams per cubic centimeter (g/cm³).

Answer:

A probability density function, or density of a continuous random variable, is a function whose value at any given sample (or point) in the sample space, can be interpreted as providing a relative likelihood

In statistics, the probability density function (PDF) is a function whose integral is computed to determine the probabilities corresponding to a continuous random variable.

A probability density function (PDF), also known as the density of a continuous random variable, is a function used in probability theory that, for any given sample (or point) in the sample space (the range of possible values for the random variable), can be interpreted as expressing a relative likelihood that the random variable's value will be equal to that sample.

Since there is an infinite range of possible values, to begin with, the probability density (PDF) at two different samples can be used to infer, in any given draw of the random variable, even though the absolute likelihood for a continuous random variable to take on any particular value is 0.

Therefore, in statistics, the probability density function (PDF) is a function whose integral is computed to determine the probabilities corresponding to a continuous random variable.

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Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Think of p(x) as a y.  Just substitute the x values into the equation, and with some basic algebra, you should get your answer

p(-2) = -3 + (-8) = -11

p(0) = -3 + 0 = -3

p(5) = -3 + 20 = 17

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer: 180°

Step-by-step explanation:

If given the bearing from B to A, the bearing from A to B can be found using interior angles. Subtract the bearing of B to A from 180° to find the missing interior angle, then use the fact that angles in a full turn add to 360° to find the bearing of A to B.

Answer:

A.) -3p +8

b.) (10/p) -3

3.)

a.) -3(5)+8= -7

b.) (10/5)-3= -1

Step-by-step explanation:

For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.

For 3 it is asking you to plug 5 in for the value of p and solve.

Hope this helps:) Have a good day!

hey ,

here is your answer,

_______________

Let the number of boxes filled, by using 20 bottles in each box, be x.

The following table is obtained.

______________________

| Number of bottles. 12. 20 |

| |

| Number of boxes 25. x. |

---------------------------------------------

More the number of bottles, lesser will be the number of boxes.

Hence, the number of bottles and the number of boxes required to pack these are inversely proportional to each other.

Therefore,

12 × 25 = 20× x

Hence, the number of boxes required to pack these bottles is 15.

Answer:

The answer is 15 Box.

No of bottles = 25 boxes × 12 bottles

= 300 bottles

So there were total 300 bottles in a box.

Now If 20 bottles are filled ina box then

no. of box required = 300/20

And answer is 15 boxes

The value of the x would be 25.723 cm.

What is the area of the circle?

For any circle, if 'r' is the radius of the circle then the area of the circle would be

      Area = π×r²

Where π = 3.14 (or) π = 22/7.

And the diagonal of the square with side 'a' is √2*a.

Given:

The square is inscribed into a circle.

The length of the side of the square is 'x' cm.

and the area of the circle is 56 cm².

            Area of circle = π.r²

                56 = 22/7×r²

                r² = 57 * 7/22

                r² = 18.1363

Taking square root on both sides, we get

                  r = 4.25

Now as the square is inscribed into a circle, then the radius will be half the diagonal of the square.

                Diagonal = 2 × r

                 √2x =  36.27

                    x = 36.27/√2

                    x = 25.723 cm

Hence, the value of the x would be  25.723 cm.

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Answer:

it would be the square root of 30 because it doesnt simplify im pretty sure

Step-by-step explanation:

Answer:

hey! the answer is 5.47722557505

Step-by-step explanation:

this is because you just take the square root of 30 :)

Answer:

D

Step-by-step explanation:

7 3 5 2

x     4 8

-----------

352,896

Hey There!!~

Because, First thing to do is mulpity 2 x 8 = 16 so, You bring the 6 and bring up the 1. Then, 5 x 8 = 40 + 1 = 41. So, we bring down the 1 and bring up the 4. Then, 3 x 8 = 24 + 4 = 28. Then, The same thing bring down the 8 and let the 2 stay up there. 7 x 8 = 56 + 2 = 58. So, Right now the answer is 58, 816. So, We just completed the first step, But we're are not done yet... 4 x 2 = 8. Then, 5 x 4 = 20. So, we bring down the 0 and bring up the 2. Then, 4 x 3 = 12 + 2 = 14. So, The 4 stay down and 1 goes up. Then, 7 x 4 = 28 + 1 = 29. So, we just completed the second step. The last step is to add 58, 816 + 29, 408 = 352, 896. Hope This helps!!