Question 6: Distribution of exam scores Frequency 204 15 154 104 60 Spring 2022 Exam Scores 100 a) How are the exam scores distributed? i) skewed right ii) skewed left iii) normally distributed b) Wit

The amount of energy stored in plant matter each second is 1.08 × 10^12 Joules.

Step 1: Calculation of joules of energy stored in plant matter each secondGiven that, 1.08 terawatts of energy gets stored in plant matter for photosynthesis in a second.Therefore, 1.08 × 1012 watts of energy gets stored in plant matter each second. Also, the energy stored in plants matter in Joules = Watts × seconds (Joule is the unit of energy)1.08 × 1012 watts of energy stored in plant matter in a second.1 watt-second = 1 JouleEnergy stored in plant matter in a second = 1.08 × 1012 watts × 1 second = 1.08 × 1012 Joules Answer: The amount of energy stored in plant matter each second is 1.08 × 10^12 Joules.

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By following these steps, you can choose a suitable container shape, calculate the volume and surface area of the donuts and the container, and ensure the two donuts fit comfortably without being squished together.

To find a suitable container for two Dunkin Donuts, you need to consider the size of the donuts and ensure they fit without being squished together. Here's a step-by-step process:

Research the dimensions of a Dunkin Donut: Find the average diameter and height of a single donut. Let's say the diameter is 8 cm, and the height is 2 cm.

Determine the shape of the container: Since you want to minimize the size, a cylinder might be a good choice due to its efficiency in utilizing space.

Calculate the volume of the donuts: The volume of a single donut can be calculated using the formula V = πr²h, where r is the radius (half of the diameter) and h is the height. Calculate the volume of two donuts.

Calculate the volume of the container: Determine the dimensions of the cylinder that can accommodate the two donuts. Adjust the radius and height to ensure the volume of the container is slightly larger than the volume of the donuts.

Calculate the surface area of the container: Find the surface area of the cylinder using the formula SA = 2πrh + 2πr².

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In this question, we are given a vector space M2x2 equipped with the standard inner product (A, B) = tr(B' A) and two matrices A and B. We need to find the dimension of the orthogonal complement of W. the correct option is (C) 2.

Step-by-step answer:

The orthogonal complement of a subspace W of a vector space V is the set of all vectors in V that are orthogonal to every vector in W. We are given W = span{A,B}. So, the orthogonal complement of W is the set of all matrices C in M2x2 such that (C, A) = 0

and (C, B) = 0.

(C, A) = tr(A' C)

= tr([0,0;0,0]'C)

= tr([0,0;0,0])

= 0.(C, B)

= tr(B' C)

= tr([-1,2]'C)

= tr([-1,2;0,0])

= -C1 + 2C2

= 0.

From the above two equations, we get

C1 = (2/1)C2

= 2C2.

Thus, the orthogonal complement of W is span{(2,1,0,0), (0,0,2,1)} and its dimension is 2.Hence, the correct option is (C) 2.

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Answer:

C

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠ 1 = 60° + 25° = 85° →  C

Answer:

C 85

Step-by-step explanation:

The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.

Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.

So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:

(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons

Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be  approximately 6.58 gallons.

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The complete question is :

What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?

The probability of a song being played on a single day is 0.5. We need to find the probability of the song being played on 2 days out of 4 days. This can be solved using the binomial probability formula, which is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful events, p is the probability of success, and (n choose k) is the binomial coefficient. Substituting the values, we get P(X=2) = (4 choose 2) * 0.5^2 * 0.5^2 = 0.375. Therefore, the probability that this song will be played on 2 days out of 4 days is 0.375.

The problem can be solved using the binomial probability formula because we are interested in finding the probability of a particular event (the song being played) occurring a specific number of times (2 out of 4 days) in a fixed number of trials (4 days).

We use the binomial probability formula P(X=k) = (n choose k) * p^k * (1-p)^(n-k) to calculate the probability of k successful events occurring in n trials with a probability of success p.

In this case, n=4, k=2, p=0.5. Therefore, P(X=2) = (4 choose 2) * 0.5^2 * 0.5^2 = 0.375.

The probability that a particular song will be played on 2 days out of 4 days at radio station wmzh is 0.375 or 37.5%.

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Answer:

3.95

Step-by-step explanation:

Answer:

3 . 95

Step-by-step explanation:

plz mark me brainlyist :)

To find the probability of drawing a face card or a red card, we first need to determine the total number of favorable outcomes and then divide it by the total number of possible outcomes (52 cards in a deck).

A face card can be a King, Queen, or Jack, and there are 12 face cards in a deck (3 face cards x 4 suits). There are 26 red cards in a deck (13 cards from hearts suit and 13 cards from diamonds suit). However, we must subtract the red face cards from the total, as they are already included in the 12 face cards. There are 6 red face cards (3 face cards x 2 red suits).

So, the total number of favorable outcomes is 12 face cards + 26 red cards - 6 red face cards = 32 cards.

The probability of drawing a face card or a red card is the number of favorable outcomes divided by the total number of possible outcomes: 32/52 ≈ 0.6154, or approximately 61.54%.

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Answer:

The cost over time is a proportional relationship

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

---------------

The function is given by:

\(f(x) = \sqrt{x^2 + 2x - 15}\)

The graph is given at the end of this question.

(–∞, –5] ∪ [3, ∞)

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Answer:

[3, ∞)

Step-by-step explanation:

The correct answer is [3, ∞) because 3 is increasing, while -5 is decreasing.

I also took the test and got it right!

hope this helps!

Answer:

291.666666667

Step-by-step explanation:

Rounds to 291.7

Answer:

35000/120 = 291 and 2/3

Step-by-step explanation:

Answer:

It is translated left 6 units.

The required value of  P for the given problem is 14 units.

There are six elements of a point usually utilized in  trigonometry.. Their names and shortenings are sine (sin), cosine (cos), digression (tan), cotangent (bed), secant (sec), and cosecant (csc).

We have,

c = 28 units, angle(∅) = 30°

Using sine function to solve the problem.

Sin(∅) = perpendicular/hypothenius

Sin(30°) = P/28

P = 28/2 = 14 units

Thus, required value of P is 14 units.

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Answer:

C. T = 4n+6/2

Step-by-step explanation:

4n = 2(T-3)

or, 4n = 2T-6

or, 4n + 6 = 2T

or, 4n + 6 / 2 = T

or, T = 4n + 6 / 2

An interval to estimate the true average tip is  (14.62,13.78).

According to statement is

we know that the

confidence interval = sample mean ± standard deviation /(n)^1/2

substitute the values in it then

confidence interval = 14.2  ± 2.5/(35)^1/2

confidence interval = 14.2 ± 2.5/5.91

confidence interval = 14.2 ± 0.42

confidence interval = 14.2 + 0.42 , confidence interval = 14.2 - 0.42

confidence interval = (14.62,13.78)

So, an interval to estimate the true average tip is  (14.62,13.78).

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f(-6) = 5

Just look at the graph when x= -6 , y = 5

Answer:

Step-by-step explanation:

See image -->Answer

The positive square root of 0.1445 by division method is approximately 0.38 (correct to two decimal places).

To find the positive square root of 0.1445 by division method, we can follow these steps:

Step 1: Add a decimal point after the first digit to make it 0.14. Step 2: Pair the digits from the decimal point in pairs starting from the decimal point and moving left. If there is an odd number of digits, pair the leftmost digit with a zero. So, we have: 0. 14 45 Step 3: Find the largest number whose square is less than or equal to 14. Write this number on top of the paired digits and subtract its square from 14. The largest number whose square is less than or equal to 14 is 3. 3 | 0.14 45 9

5 14 4 89

255

Step 4: Bring down the next pair of digits (45) and double the quotient (3) to get the dividend for the next step. So, we have: 3 | 0.14 45 9

5 14 4 89

255

249

---

  66

Step 5: Find the largest digit d such that 6d multiplied by d is less than or equal to 66. Write this digit on top of the remainder (66) to get the next digit of the square root.

The largest digit d such that 6d multiplied by d is less than or equal to 66 is 7.

So, we have:

3 | 0.14 45

9  4

5 14 66 4 89

255

249

---

  66

  63

  --

   3

Step 6: Repeat steps 4 and 5 until you have found the desired number of decimal places. In this case, we stop here since we only need to find the square root correct to two decimal places.

Therefore, the positive square root of 0.1445 by division method is approximately 0.38 (correct to two decimal places).

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Answer:turn right 45 degrees, then turn right another 45 degrees. flip the figure x-axis wise/horizontally

Step-by-step explanation:

Answer:

I think it's one

Step-by-step explanation:

why?

any input needs at most one output

The probability of drawing four cards of four different suits from a standard deck of cards is approximately 0.588.

To calculate the probability, we first determine the total number of possible outcomes. There are 52 cards in a deck, and we are drawing four cards without replacement, so the total number of possible outcomes is given by the combination formula C(52, 4) = 270,725.

Next, we calculate the number of favorable outcomes, which is the number of ways to choose one card from each suit. For the first card, we have 52 options. For the second card, there are 39 remaining cards of different suits. Similarly, for the third and fourth cards, we have 26 and 13 options, respectively. Therefore, the number of favorable outcomes is 52 * 39 * 26 * 13 = 1,690,728.

Finally, we divide the number of favorable outcomes by the total number of possible outcomes to obtain the probability: 1,690,728 / 270,725 ≈ 0.588.

Therefore, the probability of drawing four cards of four different suits from a well-shuffled deck is approximately 0.588, or 58.8%.

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Answer:

100cm² is the area of this shape

did the question tell you a specific year when was 19 years ago?

if it was 2003 then she would be 82 now in 2022

if it was 2002 then she would be 83 now in 2022

hoping you would give me a full explanation! : )

Answer:

The answer is Three-Fourthst(12)2

Answer:

C. or 3

Step-by-step explanation:

The equation for the population of rabbits in terms of the months since January, t, is P(t) = 33 sin(π/6 t) + 104.

We can model the population of rabbits using a sine function that oscillates around the average population of 104. The amplitude of the oscillation is 33, which means the maximum value is 104 + 33 = 137 and the minimum value is 104 - 33 = 71. We know that the minimum value occurs in January (t = 0), so we can write:

P(t) = A sin(B(t - C)) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift. In this case, we have:

A = 33

B = 2π/12 = π/6 (since the population oscillates over a year, or 12 months)

C = 0 (since the minimum value occurs in January)

D = 104

So the equation for the population of rabbits in terms of the months since January, t, is:

P(t) = 33 sin(π/6 t) + 104

Note that this equation assumes a perfect sine wave, and may not perfectly match real-world data due to factors such as seasonality, predation, and disease.

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Answer:

Step-by-step explanation:

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Answer:

Y=X-7

Step-by-step explanation:

Race conditions can indeed result in corrupted values of shared data. A race condition occurs when multiple concurrent processes or threads access and manipulate shared data without proper synchronization. When these processes or threads execute simultaneously and their operations on the shared data overlap or conflict, it can lead to unexpected and incorrect results.

In the context of shared data, race conditions can occur when two or more processes or threads try to read from or write to the same memory location simultaneously. This can result in inconsistent or corrupted data because the operations may not be executed in the intended order. For example, if two threads attempt to increment a shared variable simultaneously, the final value of the variable may be incorrect due to the interleaving of their operations.

To mitigate race conditions and ensure data integrity, synchronization mechanisms such as locks, semaphores, or atomic operations are employed. These mechanisms enforce mutually exclusive access to shared resources, preventing concurrent processes or threads from interfering with each other's operations and preserving the integrity of the data.

Overall, race conditions pose a risk to the correctness and reliability of programs that involve shared data, and proper synchronization techniques should be implemented to prevent data corruption and ensure consistent results.

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