which statement best describes the histogram shown?

a. The histogram is skewed right

b. The histogram is skewed left

c. The histogram is symmetric

d. The histogram is uniform

Answer:

-2/3

Step-by-step explanation:

a) The amount of overhead cost that would have been applied to each job during May, based on the predetermined overhead rate, was as follows:

                                   Job X        Job Y        Job Z

Overhead applied   $9,000       $3,600     $5,400

b) The work-in-process inventory reported in the company's May 31 balance sheet was $10,500 for Job Z only.

c) The finished goods inventory that would be reported in the company’s May 31 balance sheet was $4,050.

d) The cost of goods sold that would be reported in the company's income statement for May was $14,500.

The predetermined overhead rate is the rate per unit at which overhead costs are applied to production units or jobs.

The predetermined overhead rate is the quotient of the total budgeted overhead cost divided by the relevant total cost driver units (e.g. direct labor hours).

Predetermined overhead rate = $45 per direct labor-hour

                                   Job X        Job Y        Job Z

Direct labor hours        200             80             120

Direct materials      $4,800       $1,800      $3,600

Direct labor               2,400         1,000         1,500

Overhead applied   9,000         3,600        5,400

                         ($45 x 200)  ($45 x 80)   ($45 x 120)

Production costs $16,200       $6,400    $10,500

Unit costs of Job X   $81 ($16,200/200)

Sold units of Job X = 150

Unsold units of Job X = 50 (200 - 150)

Work in process inventory = Job Z's total cost.

Finished Goods Inventory = $4,050 ($81 x 50)

Cost of Goods Sold = $14,500 ($6,400 + $81 x 100)

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Answer:

35

Step-by-step explanation:

37 + x = 72

x = 72 - 37

x = 35

Answer:

\(\frac{-r}{2} +12\\\)

Step-by-step explanation:

Combine multiplied terms into a single fraction, find the common denominator, then combine fractions with the common denominator.

Answer:

no

Step-by-step explanation:

each standard deck of cards have 4 of each.

Answer:

The answer is 1054ft³

Step-by-step explanation:

Volume of rectangular prism =1/3LWH

V=1/3×31/2×51/3×12

V=1054ft³

Answer:

Step-by-step explanation:

The answer is B

Answer:

Slope = 3

y-intercept = 2

Step-by-step explanation:

Slope = 3

y-intercept = 2

Answer:

Step-by-step explanation:

Me personally, I think buffets are the best because you can take as music food as you much, without being charged for much! But thats only for some buffets. If you go to a chinese buffet, they might lower the price allowing you to get as much food as you please!

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

\(\mathfrak{ x ^ { 2 } + b x - 4 = 0} \)

\(\mathfrak{bx-4=-x^{2} } \)

\(\mathfrak{bx=-x^{2}+4 } \)

\(\mathfrak{xb=4-x^{2} } \)

\(\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } \)

\(\mathfrak{ b=\frac{4-x^{2}}{x} } \)

\(\mathfrak{b=-x+\frac{4}{x} } \)

AnSwEr

\(\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }\)

 ღ ꪑ꠸᥅ꫀꪊ

The parametric equations for the tangent line to the curve at the given point are x = 1 - 7e−7cos(6)t + 6e−7sin(6)t, y = -7e−7sin(6)t - 6e−7cos(6)t, and z = 1 - 7e−7t.

The given parametric equations are x = e−7t cos(6t), y = e−7t sin(6t), z = e−7t, and the point is (1, 0, 1).

We can find the tangent line in two steps. First, we'll find the slope at the given point (1, 0, 1). Second, we'll use the point-slope form of a line equation to find the equation of the tangent line.

At the given location, determine the slope.

We can find the slope by taking the partial derivative of each coordinate with respect to t.

∂x/∂t = -7e−7tcos(6t) + 6e−7tsin(6t)

∂y/∂t = -7e−7tsin(6t) - 6e−7tcos(6t)

∂z/∂t = -7e−7t

Evaluating these derivatives at t = 1, we find:

∂x/∂t = -7e−7cos(6) + 6e−7sin(6)

∂y/∂t = -7e−7sin(6) - 6e−7cos(6)

∂z/∂t = -7e−7

At the given point, x = 1, y = 0, and z = 1.

Thus, the slope of the tangent line is:

m = (∂x/∂t, ∂y/∂t, ∂z/∂t) = (-7e−7cos(6) + 6e−7sin(6), -7e−7sin(6) - 6e−7cos(6), -7e−7)

Use the point-slope form of a line equation to find the equation of the tangent line.

The point-slope form of a line equation is:

r(t) = r₀ + m*t

Where r₀ is the point and m is the slope.

Thus, the equation of the tangent line is:

r(t) = (1, 0, 1) + (-7e−7cos(6) + 6e−7sin(6), -7e−7sin(6) - 6e−7cos(6), -7e−7)*t

Simplifying, we find:

x = 1 - 7e−7cos(6)t + 6e−7sin(6)t

y = -7e−7sin(6)t - 6e−7cos(6)t

z = 1 - 7e−7t

Therefore, the parametric equations for the tangent line to the curve at the given point are x = 1 - 7e−7cos(6)t + 6e−7sin(6)t, y = -7e−7sin(6)t - 6e−7cos(6)t, and z = 1 - 7e−7t.

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The parametric equations for the tangent line to the curve with the given parametric equations at the point (1,0,1) are:

x = 1 + e^-7t * (-7cos(6t) + 6sin(6t))

y = e^-7t * (-7sin(6t) - 6cos(6t))

z = e^-7t

The tangent line at a given point on a curve is a line that is locally closest to the curve at that point. To find the tangent line, we need to first find the derivative of the curve at the given point and then use it to find the slope of the tangent line. In this case, the given curve is a parametric equation and we can find the partial derivatives with respect to the parameter t.

Next, we use the partial derivatives to calculate the slope of the tangent line at the given point. Finally, we use the slope and the given point to write the parametric equations of the tangent line.

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The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

The graph that shows the new position of the rectangle after a translation is; Option C

When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.

Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.

In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.

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Answer:

11 - 3i = 44 (move 11 to the right side and add minus)

-3i = 44-11

-3i = 33 (dive it by -3)

i = -11

Answer:

16.6

Step-by-step explanation:

Edge

Answer:

$1,200 and $409

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 3x - 1 = 0

a = 1, b = -3, c = -1

x₁ = (3 + sqrt(-3² - 4(1(-1))))/(2(1))

x₁ = (3 + sqrt(9 + 4))/2

x₁ = (3 + sqrt(13))/2

x₁ = 3.302...

x₂ = (3 - sqrt(-3² - 4(1(-1))))/(2(1))

x₂ = (3 - sqrt(9 + 4))/2

x₂ = (3 - sqrt(13))/2

x₂ = -0.302...

Answer:

Area: 28 square ft

Perimeter: 22 ft

Step-by-step explanation:

To find the area:

A=Lw

A is area, L is length, w is width

A=4*7

A=28

The area is 28 square feet

To find the perimeter:

P=2L+2w

P=2(7)+2(4)

P=14+8

P=22

The perimeter is 22 feet.

Hope this helps!

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Answer:

Y(0,13)

X(13,0)

Answer:

it might be 18 ❤

Step-by-step explanation:

I'm pretty sure it is 18 let me know

Based on the above, David must save $150 each month to cover the money left over for his first year of college.

To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:

His uncle gave him $12,000 so we must subtract this value from the total he needs.

So he must save $9,000 in 5 years.

According to the above, he must save $1,800 per year, so each month he should save $150.

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Answer:3.8

Step-by-step explanation:

In order to determine a point that is part of the solution of the two given inequality, let's graph the two inequalities.

For both inequalities, they are already in a slope-intercept form y > mx + b where m = slope and b = the y-intercept.

For equation 1, y > x + 2, the y-intercept is 2 and slope is 1. Since the inequality is >, we will be using a broken line and the shade will be above the line.

The graph of inequality 1 is:

Moving on inequality 2, y > -2x - 7, the slope is -2 and the y-intercept is -7. Since the inequality symbol is >, we will be using a broken line on its border and the shade will be above the line.

The graph of inequality 2 is:

Combining the two graphs in one coordinate plane, we have:

The solution set of the given system of inequalities will be the common shaded area of both inequalities. There are infinite solutions for this.

We can get some coordinates from this common shaded area and this could be:

These coordinates can be (-3, 2), (-4, 3), (-2, 4), or (-2, 2).

We can also infer from the graph that the value of x is infinite however, the value of y must be greater than -1.

Answer:

26.7

Step-by-step explanation:

The given rates indicates the number of people that enter or leave the

theater in a unit time.

Responses (approximate values):

a. 899 people

b. 139 people

c. Approximately 20 people are leaving per unit time at t = 20

d. The number of people in the theater are is a maximum at t ≈ 17.776

\(S(t) = \mathbf{80 - 12 \cdot cos \left(\dfrac{t}{5} \right)}\)

\(R(t) = \mathbf{12 \cdot e^{t/10} + 20}\)

a. The number of people that have entered the movie theater at t = 20

seconds given to the nearest whole number (by rounding down) are as

follows;

\(\displaystyle \mathbf{\int\limits^{20}_{10} 80 - 12 \cdot cos \left(\dfrac{t}{5} \right) \, dt }= 899\pi\)

b. The number of people in the theater, at time, t, P(t) given to the nearest whole number at t = 20 are found as follows;

\(Number \ in \ the \ theater, \ P(t) = \displaystyle \mathbf{\int\limits^{t}_{10} \left( S(t) - R(t) \right)\, dt}\)

Which gives;

\(\displaystyle P(20) = \mathbf{\int\limits^{20}_{10} \left(80 - 12 \cdot cos \left(\dfrac{t}{5} \right) \right) - \left(12 \cdot e^{t/10} + 20 \right) dt} \approx 139\)

c. The value of P'(t), is found as follows;

\(P(t) = \displaystyle \mathbf{\int\limits^{t}_{10} \left( S(t) - R(t) \right)\, dt}\)

Therefore;

\(\displaystyle P(t) = \mathbf{ \int\limits^{t}_{10} \left(80 - 12 \cdot cos \left(\dfrac{t}{5} \right) \right) - \left(12 \cdot e^{t/10} + 20 \right) dt}\)

Which gives;

\(P(20) = \left(60 \cdot sin(2) + 120 \cdot e + 60 \cdot t - 600\right) - 120 \cdot e^{\dfrac{t}{10} } + 60 \cdot sin \left(\dfrac{t}{5} \right)\)

By differentiation, we have;

\(P'(t) = \mathbf{ -\left(120 \cdot e^{\dfrac{t}{10} } \cdot \dfrac{10}{100} +60 \cdot cos \left(\dfrac{t}{5} \right) \cdot \dfrac{5}{25} -60 \right)}\)

Which gives;

\(P'(20) = -\left(120 \cdot e^{\dfrac{20}{10} } \cdot \dfrac{10}{100} +60 \cdot cos \left(\dfrac{20}{5} \right) \cdot \dfrac{5}{25} -60 \right) \approx -20.825\)

d. The time at which the maximum number of people are in the theater is given as follows;

At the maximum number in the theater, P'(t) = 0

Therefore;

\(P'(t) =0 = \mathbf{-\left(120 \cdot e^{\dfrac{t}{10} } \cdot \dfrac{10}{100} +60 \cdot cos \left(\dfrac{t}{5} \right) \cdot \dfrac{5}{25} -60 \right)}\)

Which gives;

\(\mathbf{120 \cdot e^{\dfrac{t}{10} } \cdot \dfrac{10}{100} +60 \cdot cos \left(\dfrac{t}{5} \right) \cdot \dfrac{5}{25}} = 60\)

By using a graphing calculator, we get;

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Ok perimeter is the sum of all the sides. You can count the squares or add them. You should get 25 units as perimeter

13

+

4

−

1

52

=

16

52

=

4

13

≈

0.3077

Explanation:

In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.

The probability of drawing a jack or ten from a deck of cards is 2/13.

The probability of drawing a jack or a diamond is 15/52.

How to calculate probability?

Fact: A deck of cards has 52 cards and in it:

Another classification:

Now coming to the question:

Probability: Desired outcomes/total outcome

                  =8/52

                  =2/13

therefore, total cards desired=13+2=15

Probability:15/52

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