A fair six-sided die will be rolled fifteen times, and the numbers that land face up will be recorded. Let x¯1 represent the average of the numbers that land face up for the first five rolls, and let x¯2 represent the average of the numbers landing face up for the remaining ten rolls. The mean μ and variance σ2 of a single roll are 3. 5 and 2. 92, respectively. What is the standard deviation σ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2?

One would least expect to find fossils in the surface bedrock in the Adirondack Mountains region of New York State.

This region is known for having some of the oldest rocks in North America, dating back over a billion years. These rocks were formed through volcanic activity and mountain-building processes that occurred long before the evolution of complex life forms.

As a result, the rocks in the Adirondack Mountains are generally not rich in fossils, especially those of plants and animals that evolved much later in Earth's history.

In contrast, other regions of New York State, such as the Hudson Valley and the Finger Lakes region, have rocks that are more conducive to fossil preservation. These regions were covered by shallow seas at various times in the past, allowing for the accumulation of sediment and the preservation of fossils of marine organisms.

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To find the slope of a line that includes the points (5,-2) and 6,0).​

Using the formula;

where m is the slope

x₁ = 5 y₁= -2 x₂ = 6 y₂=0

substituting the values into the formula;

m = 2/1

m=2

Hence; the slope is 2

Current year's debt ratio is 2.50

Last year's debt ratio is 2.44

Compute Dan's Dependable Delivery debt ratio for two consecutive years?

The debt ratio is the total liabilities divided by the total assets

The debt ratio for the current year =  2.50

The debt ratio for last year =2.44(find attached excel file and formula sheet)

Debt ratio means the portion of the firm's total assets funded using borrowing(external funding), the lower the ratio, the better since having a higher debt means a higher interest would be paid, the higher the debt, the higher the chance of the firm defaulting on paying interest and repaying the principal borrowed.

The fact that the debt ratio has increased in the current year, means that the ratio has worsened because more debt has been taken.

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The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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5 : 3 is the ratio of the number of common goldfish to the number of fantail goldfish.

What does the math ratio mean?

When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. A percentage is an equation in which two ratios are made equal to one another.

                        As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls). Any two quantities, let's say a and b, can be compared using the formula a:b = a/b. The combined total quantity is expressed as (a + b) because a and b are individual amounts for two quantities.

Number of fishes= 8

Goldfish= 5

Tetras= 8 - 5 = 3

Ratio of goldfish to tetras will be 5 : 3

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Answer:

(7 y)/5 I think...

Step-by-step explanation:

Answer:

\(-16\)

Step-by-step explanation:

\(-3 \cdot (7+(-3)^2) \div 3\)

To simplify this expression, use the order of operations (PEMDAS):

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

First, simplify what is in the parentheses.

\(7 + (-3)^2\)

Remember that any number squared ( \(\Box ^2\) ) is positive, so:

\((-3)^2 = 9\)

Therefore,

\(7 + (-3)^2\)

\(= 7 + 9\)

\(= 16\)

We can now replace the parentheses in the original expression with 16.

\(-3 \cdot (7+(-3)^2) \div 3\)

\(= -3(16) \div 3\)

Finally, simplify by multiplying and dividing.

\(-3(16) \div 3\)

\(= -48 \div 3\)

\(= -16\)

Given:

The arrow diagram of a relation.

To find:

Whether the given relation is a function or not.

Solution:

A relation is a called a function it there exist a unique y-value or unique output value for each x-value or input value.

From the given arrow diagram it is clear that y=2 and y=-1 for x=-1.

Since we have more than one value of y at x=-1, therefore, the given relation is not a function.

Hence, the correct option is B.

The value of the triple integral xy dV over the solid tetrahedron with vertices (0,0,0), (9,0,0), (0,8,0), and (0,0,6) is approximately 490.5. The limits of integration for x, y, and z are 0 to 9, 0 to 8 - (8/9)x, and 0 to 6 - (1/3)x - (1/4)y, respectively.

To evaluate the triple integral, we need to set up the limits of integration for the three variables x, y, and z. Since the solid is a tetrahedron with vertices at (0,0,0), (9,0,0), (0,8,0), and (0,0,6), we can write the limits of integration as follows:

0 ≤ x ≤ 9

0 ≤ y ≤ 8 - (8/9)x

0 ≤ z ≤ 6 - (1/3)x - (1/4)y

The limits of integration for x are straightforward, as x ranges from 0 to 9. For y, we need to consider that the solid is bounded by the x-axis (y=0), the y-axis (x=0), and two planes that intersect along the line x=9, y=8. The equation of the plane containing the points (0,8,0), (9,0,0), and (0,0,6) is given by 8x/9 + 6z/9 = 8, which simplifies to y = 8 - (8/9)x - (2/3)z. Solving for z, we get z = (3/2)(4 - (3/4)x - (3/4)y), so the limits of integration for z depend on both x and y.

With these limits of integration, we can set up the triple integral as follows:

∭E xy dV = ∫0⁹ ∫0(⁸-(⁸/⁹)ˣ) ∫0(⁶-(¹/³)ˣ-(¹/⁴)ʸ) xy dz dy dx

Evaluating the innermost integral with respect to z, we get:

∫0(⁶-(¹/³)ˣ-(¹/⁴)ʸ) xy dz = xyz |z=0 to z=(6-(1/3)x-(1/4)y) = x y (6 - (1/3)x - (1/4)y)

Substituting this expression back into the triple integral and evaluating the remaining integrals, we get:

∭E xy dV = ∫0⁹ ∫0(⁸-(⁸/⁹)ˣ) x y (6 - (1/3)x - (1/4)y) dy dx

= ∫0⁹ x [(3/4)y²(8/9 - (1/3)x) - (1/12)y³(8/9 - (1/3)x)] |y=0 to y=(8-(8/9)x) dx

= ∫0⁹ x [(3/4)(8/9 - (1/3)x)³ - (1/12)(8/9 - (1/3)x)⁴] dx

≈ 490.5

Therefore, the value of the triple integral is approximately 490.5

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Answer:

see explanation

Step-by-step explanation:

Evaluate the polynomial at x = 1 and x = 2

x = 1 : 1³ + 1 - 3 = 1 + 1 - 3 = - 1

x = 2 : 2³ + 2 - 3 = 8 + 2 - 3 = 7

Then ( 1, - 1 ) → (2, 7 )

Shows the polynomial goes from y = - 1 to y = + 7

The change in sign indicates the graph crosses the x- axis between 1 and 2

Thus indicating a solution between x = 1 and x = 2

Answer:

: L = r * θ = 15 * π/4 =

Step-by-step explanation:

It would take Jay 21 minutes to clear the driveway of the snow working alone.

What is factorization ?

In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.

Have given the equation ,

\(\frac{1}{j} +\frac{1}{j+21} = \frac{1}{14} \\\frac{j+21+j}{j(j+21)} = \frac{1}{14} \\\\\frac{2j+21}{j^{2}+21j } = \frac{1}{14} \\\\28j+391 = j^{2}+21j\\ j^{2}-7j-391=0\\ j^{2}-21j+14j-391=0\\\)

j(j - 21) +14(j - 21) = 0

(j - 21) (j + 14) = 0

j - 21 = 0                  ,   j + 14 = 0

j = 21                         ,   j = -14

The value of j cannot be negative, because of the context.

So, it would take Jay 21 minutes to clear the driveway of the snow working alone

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Answer:

Step-by-step explanation:

21 min PLATO

Answer:

x=22

Step-by-step explanation:

The answer is x=22.

I had put the answer on comment sorry.

Answer:

74°21'

Step-by-step explanation:

DMS Form:

The given angle is 74.35°

The whole number part is the degree so we don't need to change that. While, the decimal part would be multiplied  by 60 to convert it into minutes.

=> 74° + (0.35 × 60)

=> 74° + 21'

Since, the minute form has already been changed into a whole number and it doesn't contain any further decimal part, so we won't change it further to seconds. So, our answer will be

=> 74°21'

Answer: D.

Step-by-step explanation:

The formula for a z-score in statistics is:
(x-value - mean) / standard deviation

We are given all three values, so we can simply plug them in:

z = (62 - 79)/4

z = -17/4

z = -4.25

Step-by-step explanation:

is that really all ?

to simplify 12/2 and 12/3 ?

well, 12 can be divided by 2 and by 3 without remainder.

and so we get

12/2 = 6/1 = 6

12/3 = 4/1 = 4

The distribution of the number of business majors you choose is not binomial. The correct option is c) not binomial.

The distribution of the number of business majors you choose is not binomial because the conditions for a binomial distribution are not met:

1. There must be a fixed number of trials: In this case, we are choosing 3 students out of 10, which means the number of trials is not fixed.

2. The trials must be independent: This assumption is reasonable, as choosing one student does not affect the probability of choosing another student.

3. The probability of success must be the same for each trial: The probability of choosing a business major is 0.4 for the first trial, but it will change for the second and third trials depending on the results of the previous trials. Therefore, the probability of success is not the same for each trial.

Therefore, the correct option is c) not binomial.

The complete question is:

In a group of 10 college students, 4 are business majors. You choose 3 of the 10 students at random and ask their major. The distribution of the number of business majors you choose is

(a) Binomial with n = 10 and p = 0.4

(b) Binomial with n = 3 and p = 0.4

(c) Not binomial

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Answer:

V = 648 in^3

Step-by-step explanation:

V = lwh

V = 9 x 6 x 12

V = 648 in^3

Answer:

648in^3

Step-by-step explanation:

V=whl=6·12·9=648in³

Answer:

41 4/13

Step-by-step explanation:

brainlest plz?

Answer:hmmm

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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p vertex-disjoint paths from the starting points of the p persons to p different points on the boundary of the n by n grid by computing the max-flow in the network flow graph constructed.

Here is an algorithm for solving this problem:

The problem can be solved using a maximum flow algorithm. We can create a network where each person is a source node and each boundary point is a sink node. We then add intermediate nodes for each cell in the grid, with directed edges connecting adjacent cells. The capacity of each edge is set to 1. The correctness of the algorithm can be proven using the max-flow min-cut theorem, which states that the maximum flow in a network is equal to the minimum capacity of the cut that separates the source and sink nodes. In this case, the minimum cut corresponds to a set of p cells that separates the sources from the sinks, and the capacity of this cut is equal to p. Therefore if the maximum flow is equal to p, then there exists a cut of capacity p, and thus p vertex-disjoint paths from the starting points to the boundary points. Conversely, if the maximum flow is less than p, then there is no cut-off capacity p, and thus no feasible plan.

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Answer:

What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.

There are 12 boys in the class.

Answer:

18 students are girls.
12 students are boys.

Step-by-step explanation:

We can use simple math to solve. First, add 2 and 3 to get the total size per sample group. This will give you 5. Then, divide your total number by your sample group size (30 divided by 5) to get your amount of groups. In this example, there are 6. Then, return to the original ratio of 2:3 and multiply each by your amount of groups. This will give you 12:18. We know that the ratio of boys is 2:3, so there are 12 boys and 18 girls.

In order to calculate the value of the expression 1.4 * 0.2 * 1.8, first let's calculate the product of the first two numbers.

To multiply 1.4 by 0.2, we can first multiply 1.4 by 2 and then divide the result by 10:

Now we can calculate the product of 0.28 and 1.8.

To do so, we can multiply 0.28 by 18 and then divide the result by 10:

So the final result of the expression is 0.504.

Answer:

hey guys!! answer is B!!

Step-by-step explanation

hope this helps!

Answer:

b give brainest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Total ounces of nuts is cashews (12.3 ounces) plus almonds (15.2 ounces) is 27.5 ounces. If you divide 27.5 ounces by 5 people, 27.5 / 5 = 5.5 ounces each.

The percent of total monthly net income for the monthly living expenses and fixed expenses is 60%, the monthly share of annual expenses is $3,000 and the total your three percents is 120%.

A challenge problem is a task or question that requires a significant amount of thought, analysis, and problem-solving skills to solve. It often involves complex scenarios, calculations, or decision-making processes, and may require the use of multiple skills or disciplines to arrive at a solution.

To calculate the percentage of the Penders' total monthly net income that goes towards monthly living expenses and fixed expenses, we need to know the actual amounts of their monthly living and fixed expenses, as well as their total monthly net income. Let's assume that the Penders have a total monthly net income of $5,000, and their monthly living expenses and fixed expenses add up to $3,000.

The percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses can be calculated as follows:

$3,000 (monthly living expenses and fixed expenses) ÷ $5,000 (total monthly net income) x 100% = 60%

Therefore, 60% of the Penders' total monthly net income goes towards monthly living expenses and fixed expenses.

To calculate the monthly share of annual expenses, we need to know the total amount of their annual expenses. Let's assume that their annual expenses add up to $36,000. The monthly share of their annual expenses can be calculated as follows:

$36,000 (annual expenses) ÷ 12 (number of months in a year) = $3,000 (monthly share of annual expenses)

To total the three percents, we add the percentage of their total monthly net income that goes towards monthly living expenses and fixed expenses (60%) to the percentage of their monthly share of annual expenses (which is also 60%, since $3,000 is 60% of $5,000). This gives us a total of 120%.

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Answer & Step-by-step explanation:

For SURFACE AREA:

There are two triangles with base 8 and height 3

Area (triangles)= 1/2 (8)(3) × 2 (bc theres two) = 24

Theres two pieces to the "roof" with length , 2.8, and width 5.

Area(roof pieces)= (2.8)(5) × 2 = 28

Area(floor)= (8)(2.8)=22.4

Area(front&back)= (4.8)(8)×2=76.8

Area(2sides)=(4.8)(2.8)×2=26.88

Add up all the surface areas to find the total.

TOTAL SURFACE AREA= 24 + 28 + 22.4 + 76.8 + 26.88 = 178.08 square yards

FOR VOLUME:

This is two pieces the bottom box V=l×w×h and the roof part turned on its side V=B•h

V(box)= 8×2.8×4.8

=107.52

V(roof)=1/2(8)(3) × 2.8 = 33.6

Vol(total)=107.52+33.6= 141.12cubicyards

The function

means that the input of the function is 36 and the output is the value that we get when we input 36 onto the function r which is put on the function A.

Let's find the composite function

Now, we find the value of (A o r) (36):

So the size of contamination is approximately 3117.25 sq. m.

We want the time (t) when the size of the contamination would be 6250. Let's find it: