You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B = You roll a 6 on the second cube.
Are the events independent or dependent? Why?
O A. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
B. Independent, because they have no outcomes in common.
C. Dependent, because both cubes have six sides.
OD. Dependent, because 6 is an even number.

Answer:

C

Step-by-step explanation:

Use slope formula.

\( \frac{change \: in \: y}{change \: in \: x} \)

Plug the points in

\( \frac{ - 2 - 0 }{5 - 0} = \frac{ - 2}{5} = - \frac{2}{5} \)

When x=0, y=0 so there is no y intercept.

C is the answer

The Domain value of r(t0) when t0 = 11 is approximately -i - 2.40j + k.

Given the vector function r(t) = cos(πt)i - ln(t)j + √(t−10)k, we can determine the domain and calculate the value of r(11).

Domain:

The i-component, cos(πt), is defined for all real values of t.

The j-component, ln(t), is defined only for positive values of t, so the domain is (0, ∞).

The k-component, √(t−10), is defined for t ≥ 10, so the domain is [10, ∞).

Therefore, the domain of r(t) is (-∞, 0) × (0, ∞) × [10, ∞).

Calculating r(11):

To find r(11), we substitute t = 11 into the vector function:

r(11) = cos(π(11))i - ln(11)j + √(11−10)k

= (-1)i - ln(11)j + √1k

= -i - ln(11)j + k

The value of r(t0), when t0 = 11, is -i - ln(11)j + k. Approximating the value to two decimal places, we have -i - 2.40j + k.

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The COGS of Alpha ore mined and processed by ADP Mining Company is $750,500.ADP Mining Company is an organization that specializes in mining iron ore called Alpha.

During the month of August, 416,000 tons of Alpha were mined and processed at a cost of $750,500. ADP Mining Company extracts the ore and then processes it to generate a finished product that can be sold. ADP Mining Company must maintain a high level of production efficiency to make a profit while keeping the cost of production to a minimum. Alpha ore is processed as it is mined. The processing cost is included in the overall cost of the Alpha ore.The cost of production, also known as the cost of goods sold (COGS), is calculated by summing all of the direct and indirect expenses associated with the production of the finished product. It comprises costs such as raw material costs, wages and salaries, rent, electricity, depreciation, and other indirect expenses.

Direct expenses, such as the cost of processing Alpha ore, are included in COGS since they are incurred while producing the finished product.COFG calculation:

COGS = Raw Material Cost + Direct Labor Cost + Direct Expenses + Other Indirect Expenses

COGS = $750,500 (direct expenses)

The COGS of Alpha ore mined and processed by ADP Mining Company is $750,500.

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Answer: angle A is none of those

Step-by-step explanation:

the sum of all angles in a triangle = 180

one of the triangles is 90

we can form an equation:

90 + (x+69) + (x+39) = 180

90 + 2x + 108 = 180

198 + 2x = 180

2x = 180 - 198

2x = -18

x = - 9

angle A = x+39

substitute x = -9

angle A = -9 + 39 = 30

so angle A is none of those

In the given boundary-value problem, we are asked to set up the set of equations required to solve the problem using the finite difference method. The equation is y" = 2x²y + xy + 2, and we are given the boundary conditions y(1) = -1 and y(4) = 4.

To solve the problem using the finite difference method, we can approximate the second derivative y" using the central difference formula: y" ≈ (yₙ₊₁ - 2yₙ + yₙ₋₁) / h². Substituting this approximation into the original differential equation, we obtain the finite difference equation: (yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2.

For the given boundary conditions, y(1) = -1 and y(4) = 4, we can use these values to form additional equations. At x₀ = 1, we have the equation y₀ = -1. At xₙ = 4, we have the equation yₙ = 4.

In summary, the set of equations required to solve the boundary-value problem by the finite difference method, with the given boundary conditions, would be:

(y₂ - 2y₁ + y₀) / h² = 2x₁²y₁ + x₁y₁ + 2,

(y₃ - 2y₂ + y₁) / h² = 2x₂²y₂ + x₂y₂ + 2,

...

(yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2,

y₀ = -1,

yₙ = 4.

These equations form a system of equations that can be solved numerically to obtain the solution to the boundary-value problem.

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Answer:

42

Step-by-step explanation:

Frozen = 100- (sum of Tangled,Wall-E,Cars, Lion King)

= 100-72

=28

Frozen + Wall-E = 28+14 = 42

Answer:42%

Step-by-step explanation:

You should first Add all the other percents, not including Wall-E. Which equals 58%, then subtract 100-58 to get 42. which means that the other 2 options (Wall-E and Frozen) need to add up to 42%. Then subtract Wall-E percentage of 14 from 42 to get 28%. Your Welcome SORRY I MEANT 42, DONT MIND EVERYTHING AFTER THAT!!

Answer:

60 km/h

Step-by-step explanation:

Average speed is total distance over total time.

Total distance: 30 + 0 + 150 = 180 km.

Total time: 0.75 + 0.25 + 2 = 3 hrs.

180/3 = 60/1

Answer:

24

Step-by-step explanation:

Answer:

6 = 4

No Solution

Step-by-step explanation:

The parallel have equal slope.

Determine the slope of line -4x + 12y = 21.

The slope of line -4x + 12 y = 21 is equal to m = 1/3.

The slope of line y = kx -12 is k.

For the lines to be parallel slope must be equal. So,

The claim rates between single and married male policyholders are different at the 5% level of significance. The 95% confidence interval for the difference between the proportions of the two populations is between -0.2572 and -0.0428.

To test whether the claim rates differ between single and married male policyholders, we need to perform a two-sample proportion z-test. The null hypothesis is that the claim rates are equal, while the alternative hypothesis is that the claim rates are different.

Using the given data, we can calculate the sample proportions for single and married male policyholders as follows:

p1 = 57/300 = 0.19

p2 = 105/750 = 0.14

The pooled sample proportion is:

p = (57 + 105)/(300 + 750) = 0.15

The standard error of the difference between the sample proportions is:

SE = sqrt(p*(1-p)*(1/300 + 1/750)) = 0.034

The z-value for the test statistic is:

z = (p1 - p2) / SE = 2.35

The p-value for the test is P(Z > 2.35) = 0.0094. Since the p-value is less than 0.05, we reject the null hypothesis and conclude that there is a difference between the claim rates for single and married male policyholders.

To calculate the confidence interval for the difference between the proportions, we use the formula:

(p1 - p2) ± z*(SE)

Substituting the values, we get:

(0.19 - 0.14) ± 1.96*(0.034)

= 0.05 ± 0.0668

= -0.0168 to 0.1168

Therefore, the 95% confidence interval for the difference between the proportions is between -0.2572 and -0.0428. Since the interval does not include zero, we can conclude that the claim rates are indeed different for single and married male policyholders.

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9514 1404 393

Answer:

  151 -25 = 126 is a factor of the difference of those cubes

Step-by-step explanation:

The expression can be factored as ...

  a^3 -b^3 = (a -b)(a^2 +ab +b^2)

  151^3 -25^3 = (151 -25)(151^2 +151·25 +25^2)

  = 126(151^2 +151·25 +25^2)

That is, 126 is a factor of the difference of the given cubes. The difference is divisible by 126.

__

Your calculator tells you 151^3 -25^3 = 126 · 27201.

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

Answer:

-3-7

Step-by-step explanation:

-3-7=10

Answer:

-3 - 7.

Step-by-step explanation:

-3 - 7 = -10.

In linear equation, 3437.5  feet - lbs is the work done to haul the anchor .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Anchor  weighing = 100 lbs

   given 3  lb/ft

  the combined weight  = 3( 25 -y ) + 100

                                 = 175 - 3y

    the workdone on small solution is = (175 - 3y)Δy

                      w = ∫₀²⁵ (175 - 3y) dy

                        = 175[y]²⁵₀- 3/2[y²]²⁵₀

                       = 175 [ 25 - 0 ] - 3/2 [ 25²- 0²]

                       = 3437.5  feet - lbs

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The solution to the system of inequality expression is 1 < x < 10

Inequality expressions are expressions not separated by an equal sign

Given the inequality expressions

- 4x – 2 < -6 and - 4x – 2 > -42

For the inequality - 4x – 2 < -6

- 4x – 2 + 2 < -6 + 2

-4x < -4

x > 1

For the inequality  - 4x – 2 > -42

- 4x – 2 + 2> -42 +2

-4x > -40

x < 10

Combining both inequality solutions:

1 < x < 10

Hence the solution to the system of inequality expression is 1 < x < 10

Representing on the number line we have:

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The general solution of the pair of equations:

- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10

By solving the first inequality;

By dividing both sides by -4, we have;

x > 1

Subsequently, by solving the second inequality;

By dividing both sides by -4, we have;

x < 10

Therefore, the inequality that satisfies both equations is;

1 < x > 10

The image attached contains the solution on the number line.

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Step-by-step explanation:

The lateral surface area of a cone is A = π r L, where L = √(r² + h²) is the slant height.

The lateral surface area of a cylinder is A = 2 π r H.

The area of the cylinder's base is A = π r².

The total area is therefore:

A = π r L + 2 π r H + π r²

A = π r² + (π L + 2 π H) r

The total cost of painting the surface is Rs. 1531.20 at a rate of Rs. 140 per 100 cm². Therefore the total surface area is:

A = Rs. 1531.20 / (Rs. 140 / 100 cm²)

A = 1093.71 cm²

Plug in and solve for r:

1093.71 = π r² + (10π + 42π) r

348.14 = r² + 52r

r² + 52r − 348.14 = 0

r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2

r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2

r = (-52 ± 64) / 2

r = -58 or 6

Since r > 0, r = 6.

Solve for h:

L² = r² + h²

10² = 6² + h²

h = 8 cm

Notice that the given function is an exponential function, also:

therefore, its y-intercept is y=30.

Answer:

Ari has 14 pennies.

Step-by-step explanation:

                           Number             Value             Total value

Pennies                  p                      $0.01                  0.01p  

Nickels               (22 - p)                $0.05             $(22 - p)0.05  

Total                       22                        -                      $0.54

Since Ari has total value of the coins = $0.54

0.01p + (22 - p)0.05 = 0.54

0.01p - 0.05p + 1.1 = 0.54

-0.04p = -0.56

p = \(\frac{0.56}{0.04}\)

p = 14

Therefore, total number of pennies Ari has = 14

Answer:

see the picture below

Emily can ride her bike at a speed of 65 mph.

Let's use "x" to represent Emily's speed in mph.
We know that Kristen's speed is 8 mph faster, so her speed would be x + 8 mph.

We also know that Emily takes one hour longer than Kristen to travel 58.5 miles. So we can set up an equation:
\(\frac{58.5}{x}  = \frac{58.5}{x+8} +1\)

This equation represents the fact that the time it takes for Emily to travel 58.5 miles is one hour more than the time it takes for Kristen to travel the same distance.

Now, let's solve for x:
Multiplying both sides by x(x+8), we get:
\(58.5(x+8) = 58.5x + x(x+8)\)
\(58.5x + 468 = 58.5x + x^2 + 8x\)

Simplifying, we get:
\(x^2 + 8x - 468 = 0\)

Now we can use the quadratic formula:
\(x = \frac{(-8 ± \sqrt{8^{2} - 4(1)(-468) }}{2(1)}\)
\(x = \frac{(-8±\sqrt{18976)}}{2}\)
\(x = \frac{(-8±132)}{2}\)
x = -73 or x = 65

Since Emily's speed can't be negative, we can discard the negative solution. Therefore, Emily can ride her bike at a speed of 65 mph.

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a. The categorical qualitative variables from the ones listed above are:

- MarketSize (small, medium, or large market)

- PromotionType (Promotion 1, 2, or 3)

- WeekNumber (Week 1, 2, 3, 4)

b. The numerical (quantitative) variables from the ones listed above are:

- Sales (in $1000)

- AgeOfStore (in years)

c. The level of measurement for each variable is as follows:

- MarketSize: Nominal level of measurement. The categories (small, medium, large) are mutually exclusive and there is no inherent order or numeric value associated with them.

- PromotionType: Nominal level of measurement. The promotions (Promotion 1, 2, 3) are distinct categories with no inherent order or numeric value.

- WeekNumber: Ordinal level of measurement. The weeks (Week 1, 2, 3, 4) have a natural order but the differences between them are not necessarily equal.

- Sales: Ratio level of measurement. The variable represents the actual sales in dollars, which has a meaningful zero point and allows for meaningful ratios and calculations.

- AgeOfStore: Ratio level of measurement. The variable represents the age of the store in years, which has a meaningful zero point and allows for meaningful ratios and calculations.

Understanding the level of measurement of variables is important for selecting appropriate statistical methods and understanding the nature of the data. In this case, we have identified the categorical qualitative variables (MarketSize, PromotionType, WeekNumber) and the numerical (quantitative) variables (Sales, AgeOfStore) and determined their respective levels of measurement.

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Answer:

someone needs to answer this because i dont know

it.

Step-by-step explanation:

he is correctStep-by-step explanation:

Answer:

To add fractions, find the LCD and then combine.

3/4 + (1/4−16)= −15

Step-by-step explanation:

The probability that both Bonnie and Kelly will sit court-side is 1/55, or approximately 0.018. To express this as a percentage, we multiply by 100: the answer is 1.8%

The probability of Bonnie and Kelly both choosing court-side seats can be calculated as the number of favorable outcomes divided by the total number of possible outcomes. There are two court-side seats and two people choosing, so there is only one favorable outcome: both Bonnie and Kelly choose court-side seats. The total number of possible outcomes is the number of ways to choose two seats from the available two court-side seats, five upper-level seats, and four general admission seats. This can be calculated as the number of combinations of two seats from the total of eleven available seats, which is 11 choose 2 or 11C2 = 55.

The probability that both Bonnie and Kelly will sit court-side is 1/55, or approximately 0.018. To express this as a percentage, we multiply by 100:

0.018 * 100 = 1.8%

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Answer:

so basically

Step-by-step explanation:

you don't

The population mean, or average score for the population on a certain variable, is symbolised as follows:μ = ( Σ Xi ) / N.

The mean of a data set is the sum of all values ​​divided by the total number of values, often called the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean", it is the most commonly used measure of central tendency. This result is obtained by dividing the total number of values ​​in the data set by the sum of all those values. Both raw data and data combined into frequency tables can be used in calculations. Mean refers to the average of a number. The calculation is simple: divide by the number of numbers when you added all the numbers. the total divided by the number.

The population mean or population mean score for  a given variable is symbolized as follows:μ = ( Σ Xi ) / N. The symbol 'μ' represents the population mean.

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Answer:

6 > z(10 - z)

6 > 10z - z^2

z^2 - 10z^2 + 6 < 0

z > 9.36, z < 0.64

Therefore, option (0) is the correct answer.

Step-by-step explanation:

HOPE IT HELP

A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

In this question, we have been given the tree heights recorded on a school campus.

A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.

We need to find a correct plot that will present the information in this way.

We know that in bar charts, each bar represents one value(category). And  in a histogram, each bar will represent a continuous data

Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

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Answer:

Step-by-step explanation:

A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram

We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.