A single number cube is rolled twice. The 36​ equally-likely outcomes are shown to the right. What is the first step in finding the probability of getting two numbers whose sum is 12​? Find the probability of getting two numbers whose sum is 12.

Answer:

10(-4x+10)-3 +(8-5x)

-40x+100-3+8-5x

-40x-5x+105

-45x+105

-45x+105=0

-45x=-105

x=-105/-45

x=7/3

Step-by-step explanation:

Answer:

0.035 grams

Step-by-step explanation:

Grams of salt per gram of ocean water

For every gram of ocean water, there is 0.035 grams of salt dissolved in it.

The salinity of earths oceans,

→ a = 525 g

Amount of water for the salinity,

→ b = 15 kg

→ b = 15 × 1000

→ [ b = 15000 g ]

Then find the grams of salt for every gram of ocean water,

→ a ÷ b

→ 525 ÷ 15000

→ 0.035 g

Hence, answer is 0.035 grams of salt.

Answer: $8 for each person

Step-by-step explanation: If we divide the $32 by how many people there are(4) we get 8. We can check if this answer is correct by doing the opposite of division, multiplication. So 4 x 8 = 32. Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

We don't  even have to do a calculation.  

The arch of the bridge is at point C.

The top of the yacht's mast is at E.

Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.

The yacht can easily pass under the bridge.

The algebraic expression for the phrase "the quotient of y and 6" is y / 6

The difference of -3 - 4 is -7.

The algebraic expression of the following phrase "the quotient of y and 6" is as follows:

Quotient is a quantity produced by the division of two numbers.

Therefore, the algebraic expression for the phrase "the quotient of y and 6" is y / 6

The difference of -3 - 4 can be calculated as follows:

The difference of -3 - 4 is -7.

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Answer:

B. The DNA molecule has two newly-made strands

Step-by-step explanation:

That's not part of the DNA replication process

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

We are given the diameter of the sphere, which is 8 cm. The radius, r, is half the diameter, so:

r = 8/2 = 4 cm

Substituting this value of r into the formula for the volume of a sphere, we get:

V = (4/3)π(4³) ≈ 268.08

Rounding this to the nearest whole number, we get:

V ≈ 268

Therefore, the volume of the sphere to the nearest whole number is 268 cm³, which is option D.

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Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

Answer:

The value of x is 108

Step-by-step explanation:

This is because the A and B lines are parallel meaning that the point where the line passes through one will be at the same degree as the other one

Answer:

31680

Step-by-step explanation:

5280x6=31680

in return can u pls answer myquestion?

the question: how many cubes with a dimension of 3 inches fit in a rectangular prism with dimensions of 2 1/2 feet by 1.25 feet

Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

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The 95% confidence interval is (6.05, 7.29).We can use the z-distribution to construct a confidence interval for the mean response time of the fire station in the northern part of town.

The solution to the given problem is as follows:Given the following data set: 3,3,4,4,5,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,7,7,7,8,8,8,8,9,10,10

From the given data set, the following values can be obtained:

Mean = 6.67

Standard deviation (s) = 1.69

Number of observations (n) = 30

The 95% confidence interval is calculated as follows:Confidence interval = X ± z*s/√n

where X is the sample mean, z is the z-score corresponding to the level of confidence (0.95 in this case), s is the standard deviation of the sample, and n is the sample size.

The z-score for a 95% confidence level is 1.96.Confidence interval = 6.67 ± 1.96*1.69/√30= 6.67 ± 0.62

The 95% confidence interval is (6.05, 7.29).

Blank 1: We are 95% confident that the true mean response time of the fire station in the northern part of town is between 6.05 and 7.29 minutes.

Blank 2: Yes, because the sample size is greater than 30. According to the Central Limit Theorem, the sampling distribution of the sample means will be approximately normal for sample sizes greater than 30, regardless of the distribution of the population.

Therefore, we can use the z-distribution to construct a confidence interval for the mean response time of the fire station in the northern part of town.

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Answer:

2.025

Step-by-step explanation:

In this problem, you don't necessarily need to find the exact values of a and b. Rather, find the value of (a+b) first, and then you can substitute it into the next equation. First, you can divide both sides of the first equation 2(a+b)= -8.1 by 2, to get (a+b)=-4.05. Now, subsitute the value of (a+b) into the second equation, -0.5(a+b), to get -0.5(-4.05). From here, you can calculate that -0.5 times -4.05 is  2.025. Hope this helped!

Answer:1

Step-by-step explanation:

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

An example of a linear transformation applicable to my field of study (artificial intelligence) is the transformation of input data in a neural network. In this context, the input data is transformed using a linear function, often followed by an activation function, to create new representations of the data at each layer of the network.

The kernel of a linear transformation refers to the set of all input vectors that are mapped to the zero vector. In the context of a neural network, the kernel represents the redundancy or null space in the input data. Understanding the kernel helps in reducing overfitting by eliminating unnecessary features or dimensions from the input data.

The range of a linear transformation is the set of all possible output vectors obtained by applying the transformation to the input vectors. In a neural network, the range corresponds to the space of possible outputs that can be generated by the network. Analyzing the range can help in understanding the network's capabilities and limitations, and potentially lead to improvements in the network architecture or training process.

In summary, a linear transformation appears in the context of a neural network in artificial intelligence. The significance of the kernel and range of such a transformation is to understand the redundancy in input data and the capabilities of the network, respectively, which can help improve the performance of the neural network.

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Answer:

Step-by-step explanation:

25, i think

Answer:

A 1.50$ for each chicken wing.

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

34.50 divided by 23 = 1.50

Determining which plot element is the most challenging to write can pose difficulties for writers, largely depending on their individual style and the story they are crafting.

One of the more difficult plot elements can be the climax, which requires careful buildup and execution to deliver on achieving a satisfying payoff for readers due to escalating tensions throughout the narrative.

Writers tend to employ two common narrative approaches in their writing- dialogue and sensory details. Dialogue helps establish characters' drive, emotions, and motivations, while also advancing the plot and providing critical information to readers. Sensory details create immersive scenes with vivid imagery that allow readers to become invested into the story's ambiance and location.

In sum, by utilizing sensory details, authors capture readers' senses and render stories more tangible, while dialogue helps readers grasp characters' actions and feelings.

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The arc length of the curve f(x) = 34(x + 2)^(2/3) on the interval [0, 4] is approximately 79.4 units.

To find the arc length, we first need to take the derivative of f(x) and then integrate the resulting expression using the arc length formula.

The derivative of f(x) is:

f'(x) = 22.67(x + 2)^(-1/3)

Using the arc length formula, the arc length of the curve is given by:

L = ∫[0,4] √[1 + (f'(x))^2] dx

Substituting f'(x) into the arc length formula and integrating over the interval [0, 4], we get:

L = ∫[0,4] √[1 + (22.67(x + 2)^(-1/3))^2] dx

Simplifying the expression under the square root, we get:

L = ∫[0,4] √[1 + 516.84(x + 2)^(-2/3)] dx

Making the substitution u = x + 2 and du = dx, we get:

L = ∫[2,6] √[1 + 516.84u^(-2/3)] du

Approximating the integral using numerical methods, we get:

L ≈ 79.4 units

Therefore, the arc length of the curve f(x) = 34(x + 2)^(2/3) on the interval [0, 4] is approximately 79.4 units.

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Answer:

600

8300

Step-by-step explanation:

Answer:

1) 600

2) 8300

Step-by-step explanation:

Okay so rounding is simple

If the place digits before the digit your rounding to is 1-4 then just everything stays the same. If its 5 or above then you round the number up and put everything else into 0s.

Answer:

(4, 0)

Explanation:

The difference between -5 and -1 is 4 and the difference between-3 and -3 is 0.

A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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The probability that the maximum of X, Y, and Z is at most 2, when X, Y, and Z are independent exponentially distributed random variables with means 1, 2, and 3, respectively, is approximately 0.2673.

To compute the probability that the maximum of X, Y, and Z is at most 2, we can calculate the probability that all three random variables individually are at most 2, and then multiply these probabilities together.

Since X, Y, and Z are independent exponential random variables, we can use the exponential distribution to find these probabilities.

The cumulative distribution function (CDF) of an exponential random variable with mean μ is given by:

F(x) = 1 - e^(-x/μ)

Let's calculate the probabilities for each random variable:

For X:

F_X(2) = 1 - e^(-2/1) = 1 - e^(-2) ≈ 0.8647

For Y:

F_Y(2) = 1 - e^(-2/2) = 1 - e^(-1) ≈ 0.6321

For Z:

F_Z(2) = 1 - e^(-2/3) ≈ 0.4866

Now, we multiply these probabilities together to find the probability that the maximum of X, Y, and Z is at most 2:

P(X ≤ 2, Y ≤ 2, Z ≤ 2) = P(X ≤ 2) * P(Y ≤ 2) * P(Z ≤ 2)

                        = F_X(2) * F_Y(2) * F_Z(2)

                        ≈ 0.8647 * 0.6321 * 0.4866

                        ≈ 0.2673

Therefore, the probability that the maximum of X, Y, and Z is at most 2 is approximately 0.2673.

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a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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$$minimum_-value_-y=-20$$To graph properly, we must observe the maximum and minimum values of our variables x and y.

First we need to know if our values in x and y are even, odd or both:

For the case of x: the points can be either even or odd, and the separation between them is not uniform, which is why the increment of the x-axis must be 1.

For the case of y: the points are all even, so the increment of the y-axis can be 2

Now to know where the maximum and minimum values of x and y should be, we will take as a reference the value of the increase of the axes and we will multiply it by 2 and we will add it to the maximum value and we will subtract it from the minimum value in both axes. As follows:

• Minimum x-value : 0

• Maximum x-value : 27

• Increment for x-axis : 1

• Minimum y-value : -24

• Maximum y-value : 30

• Increment for y-axis : 2

=============================================

Work Shown:

Let's call the "height" to be the "width".

The area of a rectangle is

area = length*width

We're told the width is 8.5 feet

If the length is some unknown variable L, then

area = length*width

area = L*8.5

area = 8.5L

We want the area to be at least 76.5 square feet

This means 8.5L is either equal to 76.5, or larger than it

\(\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\\)

This shows the length can be 9 feet or larger.

In other words, the minimum length is 9 feet.