Find the mean of the data in the dot plot below

Answer:

51

Step-by-step explanation:

If total cost of a pair of shoes and jacket is $46 and cost of shoes is $8 more than cost of jacket, cost of shoes is $27 and the system of equations to determine the cost of the shoes are x - y = 8 and x + y = 46.

Let the cost of the shoes be x and the cost of the jacket be y in dollars. As cost of shoes is $8 more than the jacket,

x = y + 8

Therefore, x - y = 8    (1)

Also the total cost of the shoes and jacket is $46, therefore

x + y = 46    (2)

Adding (1) and (2) we get

2x = 54

x = 27

Therefore, cost of shoes is $27.

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i like mantises! their cute funky bugs. they can turn their heads 180 degrees and are the only insect that can move their head. there are around 2,000 spices of them, most live in tropics, but 18 types are in north America. I have a praying mantis pet, and her name is creature, shes about 6 inches long!

The Choice D is the best answer according to the passage. The statement of the D option is It anticipates and corrects a possible misinterpretation of Lincoln’s argument.

According to the statement

we have to find the correct statement with the help of the given passage.

So, For this purpose, we know that the

According to this passage,

Choices A and B are incorrect because the sentence in lines 24-28 does not raise and refute a possible counterargument to Lincoln’s argument or identify a shortcoming of his argument, but rather it is an attempt on Lincoln’s part to make sure he is not misunderstood. Choice C is incorrect because that sentence does not acknowledge and provide support for a central assumption of Lincoln’s argument but looks at a different aspect of the issue.

So, The Choice D is the best answer according to the passage. The statement of the D option is It anticipates and corrects a possible misinterpretation of Lincoln’s argument.

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Answer:

No.

Step-by-step explanation:

This only applies to solids like cubes and some prisms.

It does not apply to such solids are cylinders, pyramids, cones and triangular prisms.  It will apply to a prism whose cross-section is a rectangle.

Answer:

We are given to find the length of side AB. We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Hope this helps!!

Answer:

12

Step-by-step explanation:

4x=2×+6

them you use the inverse operation and them the result is and you multiply by 2 the answer is 12

So, adjusted to the greatest tenth, the distance between points R and S is around 4.2 units.

The total movement of something, independent of direction, is its distance. The amount of space that an object has traveled, regardless of where it started or ended, can be referred to as distance. When describing the spacing between two things, distance is frequently utilized. But distance is a mathematical representation of the measurement of a line's category, a line with an identifiable starting - ending point.

The following formula may be used to calculate the separation among points R and S:

d =\(\sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}\)

where (x1, y1) = (1, 2) and (x2, y2) = (4, 5)

d = \(\sqrt{((4 - 1)^2 + (5 - 2)^2)}\)

d = \(\sqrt{(9 + 9)}\)

d = \(\sqrt{(18)}\)

d ≈ 4.2

So, adjusted to the next tenth, the distance between points R and S is around 4.2 units. The most similar option, B, at 4.6 units, does not provide the right response. The options for the answer don't include the right response.

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For x = 0, we have 4y = 12, which implies y = 3

For y = 0, we have 5x = 12, which implies x = 2.4

Since y-intercept is not an integer, we can find another point with integer coordinates by rearranging it in the standard form:

y = -5x/4 + 3

For x = 4, we have y = -2

Then, to graph the equation, we just need to draw a line passing through the points (0,3) and (4,-2)

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

A parallelogram is formed when both pairs of opposite sides of a quadrilateral are congruent. A parallelogram is formed when one pair of opposite sides of a quadrilateral are parallel and congruent.

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In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

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Answer:

Step-by-step explanation:

Plugin x and y value in the equation. If both sides are equal, then the points lie on  the line,

1) (9 , 3)

y - 3 = 5(x -9) ;  x = 9 & y = 3

3 - 3 = 5 *(9 - 9)

0     = 5*0

   0   = 0

(9, 3) lies on the described line.

2) (3 , 9) ; x =3 & y = 9

9 - 3 = 5( 3 - 9)

  6   = 5*(-6)

  6 ≠ -30

(3 , 9) does not lies on the described line.

3) (-9, -3)  ; x = -9  & y = -3

-3 - 3 = 5(-9 - 9)

 - 6 = 5 * (-18)

  -6   ≠ -90

(-9 , -3) does not lies on the described line.

4) (-3, -9)

-9 - 3 = 5 (-3 - 9)

-12     = 5*(-12)

   -12 ≠ -60

(-3 , -9) does not lies on the described line.

Answer:

are you done or i can still answer this

Step-by-step explanation:

Step-by-step explanation:

i don't knowhkkokhhhhvfyui

Answer:

e

Step-by-step explanation:

61/3 ÷ 1/6

Convert the mixed fraction to an improper fraction

to convert to an improper fraction : (6 x 3) + 1 = 19 = 19/3

19/3 ÷ 1/6 = 19/3 x 6/1 = 38

a. The series ∑n=1 to ∞ \((n^2 + 2n) / n\) diverges. b. The series ∑n=1 to ∞ \((n^3 + 2n) / n\) converges. c. The series ∑n=1 to ∞ \((n^3 + n + 1100)\) converges. d. The series ∑n=1 to ∞ (n+1) / 3100 diverges. e. The series ∑n=2 to ∞ \((n^5 - 3n - 14) / (n^2 + 5n - 2)\) converges.

a. The series ∑n=1 to ∞ \((n^2 + 2n) / n\) diverges. This can be justified using the divergence test. As n approaches infinity, the term simplifies to n + 2, which does not converge to zero. Therefore, the series diverges.

b. The series ∑n=1 to ∞ \((n^3 + 2n) / n\) converges. By simplifying the term (n^3 + 2n) / n, we get, which is a polynomial function. The highest power in the polynomial is and the series converges for polynomial functions of degree 2 or higher. Therefore, the series converges.

c. The series ∑n=1 to ∞ \((n^3 + n + 1100)\) converges. This can be justified by noting that each term in the series is a constant multiple of n^3, and the series of n^3 converges. Additionally, the constant term and the linear term do not affect the convergence of the series. Therefore, the series converges.

d. The series ∑n=1 to ∞ (n+1) / 3100 diverges. This can be justified by observing that the terms (n+1) / 3100 do not approach zero as n approaches infinity. Therefore, the series diverges.

e. The series ∑n=2 to ∞\((n^5 - 3n - 14) / (n^2 + 5n - 2)\) converges. This can be justified by using the limit comparison test or the ratio test. By applying the ratio test, the series simplifies to ∑n=2 to ∞ \(n^3 / n^2\) = ∑n=2 to ∞ n. Since the series of n converges, the given series also converges.

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The unconditional mean E(Y) of the autoregressive model AR(1) is 10.5.

To compute the unconditional mean E(Y) of the autoregressive model AR(1) given by 1.05 + 0.9Y + ε, we can use the property of linearity in expectation and solve for the mean value.

The model can be rewritten as:

Y = (1.05 + ε) / (1 - 0.9)

Since ε follows a normal distribution with mean 0 and variance 0.01, we know that E(ε) = 0.

Using the linearity of expectation, we can compute the unconditional mean E(Y) as follows:

E(Y) = E((1.05 + ε) / (1 - 0.9))

= (1.05 + E(ε)) / (1 - 0.9)

= 1.05 / (1 - 0.9)

= 1.05 / 0.1

= 10.5

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Answer:

Simple Interest Formula

step 1: multiply the given principal sum P, interest rate R in percentage & time period in years together. step 2: for yearly interest payable, divide the result of above multiplication (P x R x T) by 100 gives the simple interest.

Answer:

636/928 = 137/200

0.685

68.5%

Step-by-step explanation:

The combination of the expression is \(5\sqrt{5} + \sqrt{3} + 10\)

We are given that;

The expression= 1/3√45- 1/2√12 +√20+2/3√27 3 + 4 + 3

To combine the expressions, we need to simplify the radicals and find the common factors.

Rewrite the radicals as fractional exponents

= \(\frac{1}{3}(45)^{\frac{1}{2}} - \frac{1}{2}(12)^{\frac{1}{2}} + (20)^{\frac{1}{2}} + \frac{2}{3}(27)^{\frac{1}{2}} + 3 + 4 + 3\)

Simplify the coefficients and combine the like terms:

\(=5\sqrt{5} + \sqrt{3} + 10\)

Therefore, the expression will be \(5\sqrt{5} + \sqrt{3} + 10\).

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Answer:

The original price of the shoes is $68.

Answer:

Her commission for the week was $234

Step-by-step explanation:

Hope this helps

Answer:

$234

Step-by-step explanation:

First, we find the amount of sales above $2000.

$3925 - $2000 = $1925

The total sales amount of $3925 breaks down into:

$2000 at 4% commission

$1925 at 8% commission

Now we calculate the amounts of the commission:

4% of $2000 = 4% × $2000 = 0.04 × $2000 = $80

8% of $1925 = 8% × $1925 = 0.08 × $1925 = $154

Now we add the two parts of the commission:

total commission = $80 + $154 = $234

Answer: $234

Answer: =29y−29

Step-by-step explanation:

Answer:

\(29y - 29\)

Step-by-step explanation:

1. Expand by distributing terms.

\(21y - 35 + 2(4y + 3)\)

2. Expand by distributing terms.

\(21 - 35 + 8y + 6\)

3. collect like terms.

\((21y + 8y) + ( - 35 + 6)\)

4. Simplify.

\(29y - 29\)

Therefor, the answer is 29y - 29

Answer:

61 1/20 = 61 0.5

Yes, the results are the same in parts F and H.

edmentum answer :)

Answer:

Step-by-step explanation:

\((a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\\\\)

\(\dfrac{(2^{3})^{3}}{2^{4}*2^{3}}=\dfrac{2^{3*3}}{2^{4+3}}\\\\\\=\dfrac{2^{9}}{2^{7}}\\\\\\=2^{9-7}\\\\=2^{2}\\\\=4\)

Answer: 4

Step-by-step explanation:

\(\frac{2^{9} }{2^{7} } = 2^{2} = 4\)

Answer:

Greater

Step-by-step explanation:

Because x-3 must be greater or equal zero and x must be not equal -2

Answer:

please mark me as brainleast

A simplified expression that represents A + B are A + B = 3q + 2r - 4. A simplified expression that represents A - B are A - B = 7q - 4r - 4.

Simplifying expressions mean rewriting the same algebraic expression with no like terms and in a compact manner. To simplify expressions, we combine all the like terms and solve all the given brackets, if any, and then in the simplified expression, we will be only left with unlike terms that cannot be reduced further. Let us learn more about simplifying expressions in this article.

A - B = 5q - r - (-2q + 3r - 4)

       = 5q - r + 2q - 3r + 4

       = 7q - 4r - 4

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The volume of the region in the first octant cut from the solid sphere \(\leq 5\) by the half-planes = 6 and = 3 is 11.67 cubic units.

To find the volume of the region in the first octant, we need to consider the intersection of the solid sphere and the two half-planes. The equation of the solid sphere is\(x^2 + y^2 + z^2 \leq 5\). The first half-plane, x = 6, intersects the sphere outside of the first octant and does not contribute to the volume. The second half-plane, y = 3, intersects the sphere in the first octant. We need to find the volume of the portion of the sphere that lies within the first octant and below the plane y = 3.

The intersection of the sphere and the plane y = 3 forms a circular disk. The radius of this disk can be found by substituting y = 3 into the equation of the sphere: \(x^2 + 9 + z^2 = 5\). Simplifying this equation, we get \(x^2 + z^2 = -4\), which indicates that there is no intersection. Therefore, the region in the first octant cut from the solid sphere \(\leq 5\) by the half-planes = 6 and = 3 is empty, and its volume is zero.

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