Deb has 3/4 of a brownie. She wants to divide it up into 1/4's of a brownie so she can have it throughout the day. How many 1/4's will she have?

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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30 lemon candies he give his friend.

It is given that a boy had 320 candies. There were 2 flavors. 7/16 were orange flavor and the rest were lemon. He gave his friend 30 orange candies and some lemon ones.

320 (7/16)  =   140  were orange

320 - 140  =  180  were lemon

Let x be the number of lemon ones he gave  away

So,

[ 140 - 30 ]  / [ 180 - x ] =  11/15

110  =  (11/15) ( 180 - x )

(15/11) (110)  = 180 - x

150  = 180  - x

x = 180  - 150  =   30

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Answer:

196

Step-by-step explanation:

I calculated it with my calculator

Answer: 81

Step-by-step explanation: If you add all of the numbers, then you end up getting 81.35 and 81.35 estimated to the nearest whole number is 81 because that's the closest whole number to 81.35.

Answer:

x≥0

Step-by-step explanation:

The arrow is moving right, to the larger numbers from the starting point at 0. This means that x has to be greater than 0

Because the point at 0 is an empty white dot, it means that it is a 'greater than or equal to' symbol ( looks like this ≤ or ≥, depending on which side you write the x)

So, the final answer is x is greater than or equal to 0, which in maths terms looks like this x≥0, or this 0≤x.

NOTE:

- filled in dot on the number line =  greater than, or less than (>)

- empty dot on number line [like the one on this Q] = greater than or equal to, or less than or equal to (≥)

Answer:

2.5*10^7

Step-by-step explanation:

Standard form is always a number between 1 and 10 (but never exactly 10) multiplied by 10 to the power of something. Just divide the 25 by 10, so it can be used in standard form, and increase the power by 1. Hope this helped! :^)

Answer:

3x^3-11y^2

Step-by-step explanation:

17x^3 -11y^2 -14x^3

collect like terms

17x^3 -14x^3 =3x^3

3x^3-11y^2

I hope it helps.

The volume of the given solid is 2592π.

We need to find the volume of the solid enclosed by the paraboloids

y = x^2 + z^2 and y = 72 − x^2 − z^2.

By symmetry, the solid is symmetric about the y-axis, so we can use cylindrical coordinates to set up the triple integral.

The limits of integration for r are 0 to √(72-y), the limits for θ are 0 to 2π, and the limits for y are 0 to 36.

Thus, the triple integral for the volume of the solid is:

V = ∫∫∫ dV

= ∫∫∫ r dr dθ dy (the integrand is 1 since we are just finding the volume)

= ∫₀³⁶ dy ∫₀²π dθ ∫₀^(√(72-y)) r dr

Evaluating this integral, we get:

V = ∫₀³⁶ dy ∫₀²π dθ ∫₀^(√(72-y)) r dr

= ∫₀³⁶ dy ∫₀²π dθ [(1/2)r^2]₀^(√(72-y))

= ∫₀³⁶ dy ∫₀²π dθ [(1/2)(72-y)]

= ∫₀³⁶ dy [π(72-y)]

= π[72y - (1/2)y^2] from 0 to 36

= π[2592]

Therefore, the volume of the given solid is 2592π.

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Answer:

x^-(3/2) which is (1)

Step-by-step explanation:

squared root of x³ is basically x^(3/2)

And if the question is 1/x^(3/2), then you can simply answer x^-(3/2) which is (1)

Answer:

Options (B), (D) and (E)

Step-by-step explanation:

In the figure attached, a triangle has been given with interior angles x, y and z and exterior angle as w.

By the exterior angle theorem,

"Exterior angle formed by extending one side of a triangle is equal to the opposite two interior angles."

Therefore, x° + y° = w°

Since measure of angle w is equal to the sum of two angles x and y,

So, w° > x°

Similarly, w° > y°

Therefore, Options (B), (D) and (E) are the correct options.

Answer:

C. Yes, there is an outlier at 110. This means that one person's age was 110, which is 25 years older than the next closest age.

Step-by-step explanation:

An outlier is a data point that sticks out like a sore thumb. It's so different from the rest of the data that it makes you wonder if it's a mistake or a miracle. One way to spot an outlier is to use the 1.5IQR rule, where IQR stands for interquartile range. The interquartile range is the gap between the third quartile (Q3) and the first quartile (Q1) of the data. The 1.5IQR rule says that any data point that is more than 1.5*IQR above Q3 or below Q1 is an outlier.

In this case, the first quartile (Q1) is 75, the third quartile (Q3) is 85, and the interquartile range (IQR) is 10. So, any data point that is more than 1.5*10 = 15 above 85 or below 75 is an outlier. The only data point that does this is 110, which is 25 above 85. That means 110 is an outlier.

What does this outlier mean in this situation? It means that one person who came to the senior center that afternoon was way older than the rest of the folks. The average age of the visitors was not changed by this outlier, since it was just one out of 12 data points. But, the outlier does mess up the range and the standard deviation of the data, making them bigger than they would be without the outlier.

Answer:The answer is C

Step-by-step explanation:I did the test.

Answer:

(7,-1)

Step-by-step explanation:

(x , y)  ---> (x - 3, y +4)

(10 , -5) ----> (10-3 , -5 +4) = (7,-1)

Answer:

8-2x = -8x + 14

Add 8x to both sides:

8x - 2x = 14 + 8x

Simplify:

6x = 14 + 8x

Subtract 8x from both sides:

6x - 8x = 14

Simplify:

-2x = 14

Divide both sides by -2:

x = -7

Therefore, the solution is x = -7.

Answer:

Step-by-step explanation:

          8 - 2x = -8x + 14

          -8        =          -8            

               - 2x = -8x + 6

                +8x = +8x                  

                  6x  = 6  

x = 1

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

To solve a question like this, you will need to factorise the first term of the expression out.

So, our expression becomes

Now, you will need to find the factors of 28 whose sum will give you -3

Always remember to express it in terms of x.

The answer to that is -7x and +4x. Thus we can rewrite the expression as;

In summary 3x^2-9x-84​ can be factorized as

Your answer is in bold below!

8.5 x 3 = 25.5

Answer: Her brother is 25.5 kg.

Step-by-step explanation:

If her brother is 3 times as heavy, we need to multiply 8.5 kg by 3.

8.5 kg times 3 is 25.5 kg.

An equation of the plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0) is x+y+z=10.

To find the equation of a plane (say A) that passes through three given points, we first find two vectors parallel to the plane A using the three points we know lie in the plane.

The cross-product of the two vectors found above provides a normal to the plane A.

Two vectors parallel to the plane A can be calculated by taking the difference between pairs of the given points:

(0, 5, 5) - (5, 0, 5) = <0, 5, -5> and (5, 0, 5) - (0, 5, 5) = <5, -5, 0>.

A vector perpendicular to the plane A should be the cross-product of <5, -5, 0> and <0, 5, -5>, so we have

\(\left[\begin{array}{ccc}i&j&k\\5&-5&0\\0&5&-5\end{array}\right]\)

= i(25-0)-j(-25-0)-k(25-0)

Here, d=(25×5+25×5+25×0)=250

So, the equation can be 25x+25y+25z=250

x+y+z=10

Therefore, an equation of the plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0) is x+y+z=10.

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Answer:

parallel

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slopes m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)

m = \(\frac{3-2}{2+1}\) = \(\frac{1}{3}\)

Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)

m = \(\frac{1-0}{3-0}\) = \(\frac{1}{3}\)

Since slopes are equal then parallel

Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

The classical errors-in-variables (CEV) assumptions require that the measurement error in tv hours is not related to the true value of television viewing.In other words, the error should be random and not correlated with the actual amount of time spent watching TV.

Additionally, the CEV assumptions require that the measurement error has a mean of zero and a constant variance. Whether or not the CEV assumptions are likely to hold in this application depends on several factors. One important consideration is the accuracy of the survey instrument used to collect data on tv hours.

If the survey is poorly designed or administered, it may introduce systematic measurement error that is correlated with the true value of television viewing.

Another important factor is the population being surveyed. If the population is highly diverse with respect to television viewing habits, it may be difficult to ensure that the CEV assumptions hold for all subgroups.

Overall, while it is possible that the CEV assumptions hold in this application, it is also possible that they do not. Researchers should carefully consider the potential sources of measurement error and take steps to minimize them if possible.

Additionally, sensitivity analyses can be conducted to explore the robustness of study results to violations of the CEV assumptions.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51\)

Answer:

x > 17

Step-by-step explanation:

x - 5 > 12 ( isolate x by adding 5 to both sides )

x > 17

-------------- from your comment

x - (- 5) > 12 , that is

x + 5 > 12 ( subtract 5 from both sides )

x > 7

Answer:

B

Step-by-step explanation:

A)  -4

B)  results in a non-terminating, non-repeating decimal, which is irrational

C)  2

D)  4

Three problems would arise if the frequency of scrum was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.

It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.

If the frequency was reduced to every two or three days, there would be three issues.

(A) The chances to review and modify the Sprint Backlog may be missed.

(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.

(C) Too much time is spent before meetings updating the scrum board.

Therefore, three problems would arise if the frequency was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

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The probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.

To find the probability that exactly three of the marbles Shelby grabs are red, we can use the formula for combinations and probability. The probability can be calculated as follows:

Probability = (Number of favorable outcomes) / (Total possible outcomes)

First, we'll find the total possible outcomes by using the combination formula, which is C(n, k) = n! / (k! (n-k)!) where n is the total number of marbles, and k is the number of marbles being grabbed.

Total marbles = 5 red + 3 green + 6 blue = 14 marbles
Total possible outcomes = C(14, 6) = 14! / (6! * (14-6)!) = 3003

Next, we'll find the number of favorable outcomes. To get exactly three red marbles, Shelby must grab 3 red marbles, 2 non-red marbles (green or blue), and 1 more non-red marble (green or blue). We'll find the combinations for each case and multiply them together.

Favorable outcomes = (C(5, 3) * C(9, 3)) = (5! / (3! * (5-3)!)) * (9! / (3! * (9-3)!)) = 10 * 84 = 840

Finally, we'll calculate the probability:

Probability = Favorable outcomes / Total possible outcomes = 840 / 3003 ≈ 0.2797 or 27.97%

So, the probability that exactly three of the marbles Shelby grabs are red is approximately 27.97%.

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Answer:

5 dollars a month

Step-by-step explanation:

There are 12 months in a year, so we divide the yearly amount by 12

60/12 = 5

5 dollars a month

45 Distinct handshakes took place when every player shook hands with everyone who played.

To find out how many distinct handshakes took place if every player shook hands with everyone who played, we will

use the concept of combinations.

Identify the number of players involved, which is 10 (you plus 9 friends).

Use the formula for combinations: C(n, k) = n! / [k! × (n-k)!],

where n is the total number of players and k is the number of players in each handshake (which is 2).

Plug in the values: C(10, 2) = 10! / [2! × (10-2)!].

Calculate the factorial values: 10! = 3,628,800, 2! = 2, and 8! = 40,320.

Plug in the factorial values and calculate: C(10, 2) = 3,628,800 / (2 × 40,320) = 3,628,800 / 80,640 = 45.

So, 45 distinct handshakes took place when every player shook hands with everyone who played.

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