Can somebody please help me solve question 20

Answer:

54degrees

Step-by-step explanation:

there is a similar angle that is also 54 so x must be 54 degrees

pls correct me if im wrong

According to the given statement the area of the cross section of the cone is 72 square units.

a solid produced by rotating one of the legs of a right triangle. A solid that is surrounded by a circle and other closed planar base and indeed the surface created by line segments connecting each point here on base's perimeter to a single vertex is known as a right circle cone; for more information, see the Density Formulas Table.

From the given information the height is 16 inches and the radius is 4.5 inches becuase the cone is sliced by a plane that passes through the center of the base, and also passes through the top vertex

So, The radius would be half the base, so the base would be 4.5 * 2 = 9 inches.

The area of the cross section of the cone is found by multiplying the base by the height, then dividing by two.

Area of the cross section of the cone = (9 x 16)/2 = 144

144 / 2 = 72 square inches.

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The slope (m) and y-intercepts are:

2. (m) is -1 and m = 4;       3. m = 2 and the b = 1.     5. m = 1 and m = -2;

6. m = -3 and b = -5.       8. m = 3 and b = -1.          9. m = -1 and b = 3.

The value of the slope in an equation is represented as m while the y-intercept is represented as b, where the equation is in the form of y = mx + b, in slope-intercept form.

In the equation y = -x + 4, the slope (m) is -1 and the y-intercept is 4.

In the equation y = 2x + 1, m = 2 and the b = 1.

In y = x - 2, the m = 1 and the y-intercept is -2.

In y = -3x - 5, m = -3 and b = -5.

In y = 3x - 1, m = 3 and b = -1.

In y = -x + 3, m = -1 and b = 3.

The graph of y = -x + 4 is in figure 1, while that of y = 2x + 1 is in figure 2.

The graph of y = x - 2 is in figure 3, while that of y = -3x - 5 is in figure 4.

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The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem is important as it provides a way to prove the existence of solutions to polynomial equations and provides an analytical tool to find the exact location of the solutions.

This theorem is also known as the algebraic version of the Intermediate Value Theorem as it states that if a polynomial is continuous on a closed interval, then it must take on all values between its maximum and minimum.

The theorem can be easily proven by considering a single-variable polynomial of degree n and transforming it into a polynomial of degree n−1 with the same roots. By repeating this process, the polynomial can be reduced to a constant and hence, it must have at least one root.

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To calculate the sum of the angle measures of a polygon with n sides we use the formula:

for a 205-gon

The sum of the angles of a 205-gon is 36540°

To test your hypothesis, you would use the One Sample T test. This test is appropriate for comparing the mean of a single sample to a known value, which in this case is 47.

The T test: two sample assuming unequal variances and T test: two sample assuming equal variances are used to compare the means of two independent samples, while the T test: paired two sample for means is used to compare the means of two related samples. None of these tests would be suitable for testing your hypothesis about the average age of customers who buy BMX bicycles.
To test the hypothesis that the average age of customers who buy BMX bicycles is greater than 47, you should use the "One Sample T-test."
The One Sample T-test is appropriate in this scenario because you are comparing the average age of customers to a specific value (47) rather than comparing two different groups of customers. The other T-test options, such as two-sample T-tests and paired two-sample T-tests, are not suitable as they involve comparing two separate groups or pairs of related data.

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The table, we cannot determine the probability of a student participating in exactly two activities.

The probability distribution table is not provided in the question, but assuming that it is a valid probability distribution, we can use it to find the probability that a student participates in exactly two activities.

Let X be the random variable representing the number of extracurricular activities a college freshman participates in, and let p(x) denote the probability of X taking the value x.

Then, we want to find p(2), the probability that a student participates in exactly two activities. This can be obtained from the probability distribution table.

Without the table, we cannot determine the probability of a student participating in exactly two activities.

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Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

The probability of someone returning exactly 1 of the 3 packages can be calculated as:P(1 out of 3 packages is returned) = C(3, 1) × P(0 or 1 diskette is defective)¹ × (1 - P(0 or 1 diskette is defective))²P(1 out of 3 packages is returned) = C(3, 1) × (0.9043820371)¹ × (0.0956179629)²P(1 out of 3 packages is returned) = 0.2448700124Therefore, the required probability of someone returning exactly 1 of the 3 packages is 0.2448700124.

The given data from the question is that the company produces diskettes which have the probability of being defective as 0.01. The packages that are sold have a size of 10 and the guarantee says that there can be at most one defective diskette in the package. Now, the question is to find the probability of someone returning exactly 1 of the 3 packages that they have bought.  So, the given data can be summarized as:Given:Probability of the diskette being defective, p = 0.01Guarantee: At most one diskette in the package of size 10 is defective.Now, let's solve the problem using probability theory

Probability of 1 diskette being defective in a package of size 10 can be calculated as:P(defective) = p = 0.01P(non-defective) = 1 - p = 0.99Using the given guarantee, probability of at most one defective diskette in a package of size 10:P(0 or 1 diskette is defective) = P(0 defective) + P(1 defective)P(0 or 1 diskette is defective) = C(10, 0) × (0.99)¹⁰ + C(10, 1) × (0.99)⁹ × (0.01)P(0 or 1 diskette is defective) = 0.9043820371Using the above probability

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Answer: 18

Step-by-step explanation:

\(12(1.50)=18\)

Answer:

wow

Step-by-step explanation:

its very hard lol

Given the inequality:

This mean that 3a is less than 39.

The problem that could be solved using the inequality above is:

Three equal priced shirts came to under $39

Where a represents the shirt.

ANSWER:

B) Three equal priced shirts came to under $39

4.44 is the selling price, in dollars per cubic inch, for pure beeswax purchased from this company given that pure beeswax has a density of 0.555 ounce per cubic inch and an online company sells pure beeswax at a price of $8.00 per ounce. This can be obtained by multiplying the values.

Given that,

Density of pure beeswax = 0.555 ounce per cubic inch

Cost of beeswax per ounce = $8.00 per ounce

Selling price in dollars per cubic inch will be,

⇒0.555×$8.00 = $4.44

Hence 4.44 is the selling price, in dollars per cubic inch, for pure beeswax purchased from this company given that pure beeswax has a density of 0.555 ounce per cubic inch and an online company sells pure beeswax at a price of $8.00 per ounce.

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\(\textit{internal division of a line segment using ratios} \\\\\\ A(-3,2)\qquad B(5,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:6} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{6}\implies \cfrac{A}{B} = \cfrac{2}{6}\implies 6A=2B\implies 6(-3,2)=2(5,-4)\)

\((\stackrel{x}{-18}~~,~~ \stackrel{y}{12})=(\stackrel{x}{10}~~,~~ \stackrel{y}{-8}) \implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-18 +10}}{2+6}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12 -8}}{2+6} \right)} \\\\\\ P=\left( \cfrac{ -8 }{ 8 }~~,~~\cfrac{ 4}{ 8 } \right)\implies P=\left(-1~~,~~\cfrac{1}{2} \right)\)

For the budget constraint X + Y = 12, there is no optimal bundle that maximizes the utility function U(X, Y).

A) To find the optimal bundle, we need to maximize the utility function U(X, Y) subject to the budget constraint 3X + 5Y = 60.

Let's solve this problem using the Lagrange multiplier method:

1. Set up the Lagrangian function:

L(X, Y, λ) = -(X - 7)^2 - (Y - 7)^2 + λ(3X + 5Y - 60)

2. Find the first-order conditions:

∂L/∂X = -2(X - 7) + 3λ = 0

∂L/∂Y = -2(Y - 7) + 5λ = 0

∂L/∂λ = 3X + 5Y - 60 = 0

3. Solve the system of equations:

-2X + 14 + 3λ = 0    --(1)

-2Y + 14 + 5λ = 0    --(2)

3X + 5Y - 60 = 0     --(3)

From equations (1) and (2), we can solve for X and Y:

X = (14 - 3λ) / 2

Y = (14 - 5λ) / 2

Substituting these expressions into equation (3), we can solve for λ:

3(14 - 3λ) / 2 + 5(14 - 5λ) / 2 - 60 = 0

Simplifying and solving the equation, we find λ = -4.

Substituting λ = -4 back into X and Y expressions:

X = (14 - 3(-4)) / 2 = 13

Y = (14 - 5(-4)) / 2 = 9

Therefore, the optimal bundle is X = 13 and Y = 9.

B) To find the optimal bundle for the budget constraint X + Y = 12, we can rewrite it as Y = 12 - X.

Substituting this into the utility function, we have U(X) = -(X - 7)^2 - (12 - X - 7)^2.

To find the optimal bundle, we need to find the maximum value of U(X) by taking the derivative with respect to X and setting it equal to zero:

dU/dX = -2(X - 7) + 2(12 - X - 7) = 0

Simplifying the equation, we find:

-2X + 14 + 2X - 40 = 0

-26 = 0

Since -26 ≠ 0, there is no value of X that satisfies the first-order condition for optimization.

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Answer:

7^5 (7 to the fifth power)

Step-by-step explanation:

those sevens can be represented by 7^5 because there are five sevens to multiply together

you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807

and making sure that 7^5 is also equal to 16807, which it is.

Hope this helps! :)

When possible, the best way to establish that an observed association is the result of a cause-and-effect relation is by means of a well-designed experiment. The correct option is B.

Cause and effect refers to a relationship between two variables in which one variable, the cause, produces the other variable, the effect. Causality is a scientific term used to describe the relationship between a cause and an effect. It is also known as causation, and it is the process by which one event brings about or produces another event.

The research findings are used to establish cause-and-effect relationships. Causation, in the context of epidemiology, implies that a change in the level of the independent variable produces a change in the level of the dependent variable, which is required for establishing causality. However, correlation does not equate to causation. Correlation is the relationship between two variables that occur together but do not necessarily imply a cause-and-effect connection.

Thus, the correct option is B.

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Answer:

7.44

Explanation:

MAD = 1/n sigma | xi - x of line |

Answer:

40%      

I looked it up

Answer:

0.45%

Step-by-step explanation:

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

\(-x^{2} +4x+12\)

Let us rewrite by letting it equal to \(y\).

\(y=-x^{2} +4x+12\)

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

\(y=ax^{2} +bx+c\)

we get:

\(a = -1\\b = 4\\c = 12\)

Coefficient of \(x^{2}\) is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

\(x = -\dfrac{b}{2a}\)

\(x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2\)

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

\(y=-2^{2} +4\times 2+12\\\Rightarrow y =16\)

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, \(y=-0^{2} +4\times 0+12=12\)

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

\(0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6\)

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Answer:

arc WV = 84 degrees

Step-by-step explanation:

Here, we want to get the length of the arc wv

We can use the angle arc relationship here

From what we have here, the value of the arc wv is the product of 2 and the angle facing it

Thus, we have it that;

Arc WV = 2 * angle WXV

arc WV = 2 * 42 = 84 degrees

To graph the polar equations r = 4sin(2θ) and r = 2 and find the area of the common interior region, we can use a graphing utility. By plotting both equations on a polar coordinate system, we can visualize their overlapping region.

Upon graphing the polar equations, we observe that the region enclosed by both curves forms a petal-like shape. To find the area analytically, we need to determine the limits of integration for θ that correspond to the common interior region.

The region is bounded by θ values where the two equations intersect. By setting r = 4sin(2θ) equal to r = 2, we can solve for the values of θ where the curves intersect.

4sin(2θ) = 2

sin(2θ) = 1/2

2θ = π/6, 5π/6

θ = π/12, 5π/12

Thus, the limits of integration for θ are π/12 and 5π/12.

To calculate the area of the common interior region, we integrate 1/2 * (r^2) with respect to θ from π/12 to 5π/12:

Area = (1/2) ∫[π/12, 5π/12] (r^2) dθ

After performing the integration, the result will yield the area of the common interior region between the two polar curves.

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Answer:

cant give you a answer but theres this app called gauth math try that its really helpful

Step-by-step explanation:

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

x=9

Step-by-step explanation:

10+x/3=13

(given)

x/3=3

(subtract 3 on both sides)

x=9

(multiply 3 on both sides)

Answer:

Subtract 10 both sides to get x/3 = 3

Then Multiply 3 to both sides,

x = 9

Just use the Order of Operations

Answer:

4.78 × 10^-6

Hope this helped :)

Answer: 4.78 × 10^-6

Step-by-step explanation:

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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