Kimberly rolls two six-sided number cubes numbered 1 through 6 and adds up the two numbers construct a tree diagram to determine all the possible outcomes list the sum at the end of each branch of the tree​

Answer:

b

Step-by-step explanation:

Answer:

It rises 1 and runs 2 between points, making it 1/2, I think.

Answer:

slope is 1/2

Step-by-step explanation:

The 95% confidence interval for the difference in mean parts produced per hour by these two machines is given as 10 ± 4.516.

It is given to us that -

Numbers of items produced per hour by machine a and by machine b are normally distributed

There is a standard deviation of 8.4 items for machine a and a standard deviation of 11.3 items for machine b

The mean hourly amount produced by machine a for a random sample of 40 hours was 130 units

The mean hourly amount produced by machine b for a random sample of 36 hours was 120 units

We have to find out the 95% confidence interval for the difference in mean parts produced per hour by these two machines.

Let us say that -

x = Number of units of machine a

y = Number of units of machine b

According to the given information, we have

Number of units of machine a = x⁻ = 130

Standard deviation of machine a = σx = 8.4

Number of hours of machine a = \(n_{x}\) = 40

Similarly,

Number of units of machine b = y⁻ = 120

Standard deviation of machine b = σy = 11.3

Number of hours of machine a = \(n_{y}\) = 36

We know that mean of the differences can be find out as -

d⁻ = x⁻ - y⁻

=> d⁻ = 130 - 120

=> d⁻ = 10

In order to find out the 95% confidence interval for the difference in mean parts produced per hour by these two machines, we have to make use of the formula mentioned below -

d⁻ - \(z_{a/2}\) √[(σx²/ \(n_{x}\)) + (σy²/ \(n_{y}\))] < μd < d⁻ + \(z_{a/z}\) √[(σx²/ \(n_{x}\)) + (σy²/ \(n_{y}\))]  ---- (1)

From the z-score table, for a 95% confidence interval, we have -

α = 0.05

α/2 = 0.025

=> F(z) = 1 - α/2 = 1 - 0.025 = 0.975

For a z-distribution function of 0.975, we have -

\(z_{a/2}\) = 1.96

Substituting all the values in equation (1), we have

d⁻ - \(z_{a/2}\) √[(σx²/ \(n_{x}\)) + (σy²/ \(n_{y}\))] < μd < d⁻ + \(z_{a/z}\) √[(σx²/ \(n_{x}\)) + (σy²/ \(n_{y}\))]

=> \(10-1.96\sqrt{\frac{8.4^{2} }{40} +\frac{11.3^{2} }{36} }\) < μd < \(10+1.96\sqrt{\frac{8.4^{2} }{40} +\frac{11.3^{2} }{36} }\)

=> \(10-1.96\sqrt{1.764+3.54 }\) < μd < \(10+1.96\sqrt{\frac{8.4^{2} }{40} +\frac{11.3^{2} }{36} }\)

=> \(10-(1.96 * 2.303)\) < μd < \(10+(1.96 * 2.303)\)

=> 10 - 4.516 < μd < 10 + 4.516

=> 5.483 < μd < 14.516

=> μd = 10 ± 4.516

Thus, the 95% confidence interval for the difference in mean parts produced per hour by these two machines is given as 10 ± 4.516.

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1. the mechanical advantage of the rake is 0.5. 2. the efficiency of the blade adjuster is approximately 92.73%.

1. The mechanical advantage of a simple machine is determined by the ratio of the output force to the input force. In this case, the woman applies an input force of 32 N to the rake, and the rake exerts an output force of 16 N.

The mechanical advantage (MA) can be calculated as MA = Output Force / Input Force.

Using the given values, we can substitute them into the formula:

MA = 16 N / 32 N = 0.5.

Therefore, the mechanical advantage of the rake is 0.5.

Explanation:

The mechanical advantage represents the amplification of force achieved by using a machine. In this case, the mechanical advantage of 0.5 means that the rake reduces the input force by half to produce the output force. It indicates that for every 1 unit of input force applied by the woman, the rake generates 0.5 units of output force.

2. Efficiency is a measure of how effectively a machine converts input work to output work. It is calculated as the ratio of output work to input work, expressed as a percentage.

The efficiency (η) can be calculated using the formula: Efficiency = (Output Work / Input Work) * 100%.

Given that the input work is 55 J and the output work is 51 J, we can substitute these values into the formula:

Efficiency = (51 J / 55 J) * 100% ≈ 92.73%.

Therefore, the efficiency of the blade adjuster is approximately 92.73%.

Explanation:

Efficiency quantifies the effectiveness of a machine in converting the input energy into useful output energy. In this case, the blade adjuster converts 51 J of input work into 51 J of output work. The efficiency of approximately 92.73% indicates that the blade adjuster is relatively efficient, as a high percentage of the input work is effectively converted into useful output work.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

The given parametric equations x = x1 + (x2 − x1)t, y = y1 + (y2 − y1)t where 0 ≤ t ≤ 1 describes the line segment that joins the points P1(x1, y1) and P2(x2, y2).In order to find the parametrization, including endpoints, and sketch to check, follow these steps:

Step 1: Plot the given vertices A(1, 1), B(5, 4), C(1, 6) on the graphing device.

Step 2:the equation for line segment AB can be found as follows: x1 = 1, y1 = 1, x2 = 5, y2 = 4x = x1 + (x2 - x1)t = 1 + (5 - 1)t = 1 + 4ty = y1 + (y2 - y1)t = 1 + (4 - 1)t = 1 + 3tSo, the equation for line segment AB is x = 1 + 4t, y = 1 + 3t.The equations for line segments BC and AC are given below:Line segment BC: x = 4 - 3t, y = 3 + 3tLine segment AC: x = 1, y = 1 + 5t

Step 3:  For line segment AB, t varies from 0 to 1. For line segment BC, t varies from 0 to 1. For line segment AC, t varies from 0 to 1/5.So, the parametrization of the triangle, including endpoints, is given by the following equations:A to B: x = 1 + 4t, y = 1 + 3t, 0 ≤ t ≤ 1B to C: x = 4 - 3t, y = 3 + 3t, 0 ≤ t ≤ 1A to C: x = 1, y = 1 + 5t, 0 ≤ t ≤ 1/5

Step 4: Sketch the triangle by plotting the points A, B, and C on the graphing device and connecting them with line segments AB, BC, and AC. Then, sketch the parametric equations for each line segment to check whether they correspond to the correct line segments.

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Answer:

1100

Step-by-step explanation:

Answer:

A = 55.15

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj side / hypotenuse

cos A = 4/7

Taking the inverse cos of each side

cos ^-1 ( cos A) = cos ^-1( 4/7)

A =55.15009542

To the nearest hundredth

A = 55.15

Answer: x=-9

Step-by-step explanation: First, combine like terms. 3x+4-2x=-5

Then x+4 = -5

x=-9

Answer:

Cierra and fionna

Step-by-step explanation:

because their under 0

and 0 is the school average

Answer:

B uWu

Step-by-step explanation:

Answer: 0.00026214\(a^{3}\)

Step-by-step explanation:

Answer:

Hi! In order to determine how much money Aiden will have in his account after 8 months, let's figure out how much he deposits each month.

He started with $250. After one month, he had $586; after two months, he had $922; after three months, he had $1,258. Each month, there is a gain of $336.

Therefore, after four months, Aiden will have $1,594. After five months, he will have $1,930. After six months, he will have $2,266. After seven months, he will have $2,602. Finally, after eight months, he will have $2,938.

Hope this helps!

Answer:

1. From the origin, move 7 units back, 9 units right, and 2 units down.

2. From the origin, move 2 units back, 8 units right, and 4 units down.

Hope this helps :)

Answer:

algebra = 21

Step-by-step explanation:

the answer is 21

branbliest, please

Answer:

Movies: 30/4 = $7.50/ticket

Concerts: 36.50/5 = $7.30

Concert tickets are $.20 cheaper.

Answer:

Step-by-step explanation:

4 movies tickets are $7.50 per ticket and 5 concert tickets are $7.30 per ticket. The movie tickets are $0.20 more.

Answer:

50

Step-by-step explanation:

Answer:

50 bottles

Step-by-step explanation:

this is super simple! the question is asking for the number of bottles produced per minute. when x is 1, what is y?

y = 50

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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what values of a are the following expressions true?

|a-5| =5-a

Try putting values of ( a )

picking random number :-

Putting a = 6 :-

\( |a-5| =5-a \\ |6-5| =5-6 \\ | 1| = -1 \\ 1 \cancel = ( - 1) \)

so a is not equal to 6

Putting a = 8

\(|a-5| =5-a \\ |8 - 5| =5-8 \\ |3| = - 3 \\ 3 \cancel = - 3\)

a is also not equal to 8

so above values we can find a common result that a not equal to value bigger than 5

picking random number

Putting a equal to 1

\(|a-5| =5-a \\|1-5| =5-1 \\ | - 4| =4 \\ 4 = 4\)

a can be equal to 1

Putting a equal to -3

\(|a-5| =5-a \\| - 3-5| =5-( - 3) \\ | - 8| = 8\\ 8 = 8\)

a can be equal to -3

So we can have a common result that a can be equal to values less than 5

putting a equal to 5

\(|a-5| =5-a \\ |5 - 5| =5-5 \\ |0| =0 \\ 0 = 0\)

So we can say a can be equal to 5

The value of x from the figure shown is 2.19

According to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.

From the given diagram, the expression below is true;

6^2 = 3^2 + (3+x)^2

Determine the value of x

36 = 9 + (9+6x + x^2)

36 = 18 +6x+x^2

x^2 + 6x - 18 = 0

On factorizing, the value of x is expressed as;

x = -3 + 3√3
x = -3 + 3(1.732)

x = 2.19

Hence the value of x from the figure shown is 2.19

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Answer:

it's 7 I think maybe I'm wrong

Answer:

1. a. 2

b. -½

c. y - 3 = -½(x - 8) => point-slope form

y = -½x + 7 => slope-intercept form

2. a. -1

b. 1

c. y - 5 = 1(x - 3) => point-slope form

y = x + 2 => slope-intercept form

Step-by-step explanation:

1. (8, 3) and (10, 7):

a. The gradient for the line joining the points:

Gradient = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Let,

\( (8, 3) = (x_1, y_1) \)

\( (10, 7) = (x_2, y_2) \)

Plug in the values

Gradient = \( \frac{7 - 3}{10 - 8} \)

Gradient = \( \frac{4}{2} \)

Gradient = 2

b. The gradient of the line perpendicular to this line = the negative reciprocal of 2

Negative reciprocal of 2 = -½

c. The equation of perpendicular line if it passes through the first point, (8, 3):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (8, 3)

Slope (m) = -½

Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - 3 = -½(x - 8) => point-slope form

We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:

Thus:

y - 3 = -½(x - 8)

y - 3 = -½x + 4

y - 3 + 3 = -½x + 4 + 3

y = -½x + 7

2. (3, 5) and (4, 4):

a. The gradient for the line joining the points:

Gradient = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Let,

\( (3, 5) = (x_1, y_1) \)

\( (4, 4) = (x_2, y_2) \)

Plug in the values

Gradient = \( \frac{4 - 5}{4 - 3} \)

Gradient = \( \frac{-1}{1} \)

Gradient = -1

b. The gradient of the line perpendicular to this line = the negative reciprocal of -1

Negative reciprocal of -1 = 1

c. The equation of perpendicular line if it passes through the first point, (3, 5):

Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).

Where,

(a, b) = (3, 5)

Slope (m) = 1

Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).

Thus:

y - 5 = 1(x - 3) => point-slope form

We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:

Thus:

y - 5 = 1(x - 3)

y - 5 = x - 3

y - 5 + 5 = x - 3 + 5

y = x + 2

The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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The inequalities that have the given set are:

A) x < -3¹/₂

B) x > -5¹/₂

D) x < 4¹/₄

The given set of numbers are:

(-4¹/₂, -1²/₅, 0, 2³/₄, 3¹/₃)

A) x < -3¹/₂

This is included in the set as it is between the minimum -4¹/₂ and maximum 3¹/₃

B) x > -5¹/₂

This is included in the set as it is between the minimum -4¹/₂ and maximum 3¹/₃

C) x > 4²/₃

This is not included in the set as it is not between the minimum -4¹/₂ and maximum 3¹/₃

D) x < 4¹/₄

This is included in the set as it is between the minimum -4¹/₂ and maximum 3¹/₃

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Labor content (labor dollar per unit) is the total cost of labor required to produce one unit of a product. It can be calculated by dividing the total labor cost by the number of units produced.

In this scenario, we are given that an employee produces 17 parts during an 8-hour shift and earns $109 per shift.

To calculate the labor content, we first determine the labor cost per hour. This is done by dividing the total amount earned in the 8-hour shift by 8.

Labor cost per hour = $109 ÷ 8 = $13 per hour

Next, we calculate the number of parts produced per hour by dividing the total number of parts produced (17) by the duration of the shift (8 hours).

Parts produced per hour = 17 ÷ 8 = 2.125 parts per hour

Finally, we calculate the labor cost per part by dividing the labor cost per hour by the number of parts produced per hour.

Labor cost per part = $13 ÷ 2.125 = $6.12 per part

Therefore, the labor content (labor dollar per unit) of the product is $6.12 per part.

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The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer: x = 136.4 minutes

Step-by-step explanation:

x = (100/22)(30) minutes = 136.4 minutes

Answer:

both require powers

Step-by-step explanation:

Exponents refer to the power of numbers eg 3^5. Roots refer to two numbers which are the same which when multiplied result in a number. eg 3^2=9. or the square root of 9 is 3. Exponents and roots are related because they both require powers (ie..The same number multiplying itself for a number of times.

I am sorry if you get this wrong

The correct option is D. $3,090. However, since there is no value close to this answer, it appears that there may be an error or inconsistency in the given information or calculations.

The cost of goods sold can be calculated using the formula:

Cost of goods sold = Beginning inventory cost + Cost of goods purchased - Ending inventory cost

Given:

Cost of goods purchased = Cost of goods manufactured = $12 x 610 = $7,320

Units sold = 330 units

Units left in inventory = 290 + 610 - 330 = 570 units

According to the FIFO (First-In, First-Out) method of inventory valuation, the goods that are sold first are assumed to be the ones that were bought first. Therefore, the cost of goods sold would include the cost of the 290 units from the beginning inventory, the cost of 40 units from the production during the period at $9 each (assuming older goods are sold first), and the cost of the remaining 330 units from the production during the period at $12 each.

So, the cost of goods sold would be:

Cost of goods sold = (290 x $9) + (40 x $9) + (330 x $12) = $2,610 + $360 + $3,960 = $6,930

Therefore, the correct option is D. $3,090. However, since there is no value close to this answer, it appears that there may be an error or inconsistency in the given information or calculations.

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The two physics students measuring the angle of elevation from two points on opposite sides of the building are approximately 258.9 feet apart.

To determine the distance between the two students, we can use the tangent function and the concept of similar triangles.

Let's assume that the height of the building is "h" and the distance between the students is "d."

From one student's perspective, the tangent of the angle of elevation (42°) is equal to the height of the building (h) divided by the distance between the student and the building (d/2).

This can be expressed as tan(42°) = h / (d/2).

Similarly, from the other student's perspective, the tangent of the angle of elevation (23°) is equal to the height of the building (h) divided by the distance between the student and the building (d/2). This can be expressed as tan(23°) = h / (d/2).

By rearranging these equations, we can find the value of "h" in terms of "d." Dividing the two equations gives us tan(42°) / tan(23°) = (h / (d/2)) / (h / (d/2)), which simplifies to tan(42°) / tan(23°) = d/2 / d/2.

Simplifying further, we find that tan(42°) / tan(23°) = 1, and solving for "d" gives us d = 2 * (tan(42°) / tan(23°)).

Plugging in the values and evaluating the expression, we find that d is approximately equal to 258.9 feet. Therefore, the students are approximately 258.9 feet apart.

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The number of choice out of 7 that consumer have are 42.

The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.

Number of choices of side dishes does a customer have,

total dishes(n)=7 , r = 2

ⁿP₂

⁷P₂

7×6 = 42

Thus required number of ways are 42.

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Answer:

Equation should be: 15x + 5 = y

Step-by-step explanation:

I do not know the amount of money that he owed

For Example :

15(12) + 5 = y

180 + 5 = y

y = 185

Sorry if I'm incorrect