Determine the probability for each of the following. You need not multiply out your answers, but you must show the problem set-up (i.e. 13/52 x 12/51 is an acceptable final answer). Provide your answer in the text box provided. There are four suits (hearts, spades, diamonds and clubs) in a deck of cards. There are 13 cards in a suit. There are 6 sides to a die. Drawing a King on three consecutive draws from a poker deck. The card will be replaced after each draw.

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

Your search - х у у у O 0 4 -2 -0.4 0.5 7.5 - 2 5 O -2 SLOPE AND RATE OF 15 O 5 -6 6 7 1.5 22.5 9 1.9.2 N N 30 4 8 10 -10 - did not match any image results.

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Indore, Madhya Pradesh, India - From your Internet address - Learn more

Answer:

1

Step-by-step explanation:

The cost (c) is the total amount of the cell phone plan. The $0.07 serves as the cost per hour which means that it would vary with time. This would suggest that the 0.07 would need a variable(h) that would stand as the number of hour. The flat monthly fee suggest that it would only be paid once. This fee would be an additional amount of payment that would add up to the total cost(c) when added with 0.07h.

As given by the question

There are given that the right angle triangle

Now,

From the triangle, first, find the value of ST

So,

To find the value of ST, use the sine function

Then,

Then,

Now,

To find the value of RS, use sine function also

So,

Hence, the value of ST and RS is shown below:

Answer:

The speed is 20.8  m/s

Step-by-step explanation:

If a projectile ascends vertically, and after 3 seconds it reaches its maximum height, calculate the velocity that it carries to the middle of its downward trajectory

Let the maximum height is h and initial velocity is u.

From first equation of motion

v = u + at

0 = u - g x 3

u = 3 g.....(1)

Use third equation of motion

\(v^2 = u^2 - 2 gh \\\\0 = 9 g^2 - 2 gh \\\\h = 4.5 g\)

Let the speed at half the height is v'.

\(v^2 = u^2 + 2 gh \\\\v'^2 = 0 + 2 g\times 2.25 g\\\\v'^2 = 4.5\times 9.8\times9.8\\\\v' = 20.8 m/s\)

Answer:

Step-by-step explanation:

They're both right angle triangles and have the same length and size , hence congruency

The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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The porcelain pot is fired at 2552 degrees Fahrenheit.

The temperature at which porcelain pot is fired will be calculated firstly by forming the equation. Then we will perform mathematical operations as per the PEMDAS rule. Let us assume the temperature be t.

Forming and representing the equation with respect to t

t = 2×1409 - 266

Firstly performing multiplication on Right Hand Side of the equation to find the value of t

t = 2818 - 266

Now performing subtraction on Right Hand Side of the equation to find the value of t

t = 2552 degrees Fahrenheit

Hence, the temperature of porcelain pot based on the given information is 2552 degrees Fahrenheit.

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Answer:

30.9 cubic inches

Step-by-step explanation:

This is a volume question. You multiply 2 3/4, 2 1/4, and 5 inches all together.

First you turn it into an improper fraction and multiply. 11/4*9/4 = 99/16

Then multiply this by 5: 99/16 * 5 = 30.9375

Round to nearest tenth: 30.9

Answer:

x = -3

Topics are listed below.

Step-by-step explanation:

Topics of this question include:

Solve:

-Chetan K

Answer:

The value of x is 6.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

\(\begin{gathered}\end{gathered}\)

Finding the value of x.

\(\begin{gathered}\quad\implies{\tt{9 - 4(5 - x)=3(x - 1) - 2 }}\\\\\quad\implies{\tt{9 - (4 \times 5 - 4\times x)=(3 \times x - 3 \times 1) - 2}}\\\\\quad\implies{\tt{9 - (20 - 4x)=(3x - 3) - 2}}\\\\\quad\implies{\tt{9 - 20- 4x=3x - 3- 2}} \\\\\quad\implies{\tt{- 11 - 4x=3x - 5}}\\\\\implies{\tt{- 4x + 3x = - 11 + 5}} \\ \\\implies{\tt{-x = - 6}}\\\\ \implies{\tt{ \cancel{-}\: x = \cancel{-} 6}}\\\\\quad\implies{\tt{x = 6}}\end{gathered}\)

Hence, The value of x is 6.

\(\rule{300}{2.5}\)

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

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we have:

The number of elements in the set (A U B): n(A U B) = 16

The number of elements in the set (A ∩ B): n(A ∩ B) = 4

To find the number of elements in the set (A U B), we need to combine all the unique elements from sets A and B.

Set A = {3, 4, 10, 11, 12, 16, 18}

Set B = {4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 19, 20}

The union of sets A and B (A U B) will contain all the unique elements from both sets. By combining the elements and removing duplicates, we get:

A U B = {3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20}

The number of elements in the set (A U B) is the count of these elements, which is 16.

n(A U B) = 16

To find the number of elements in the set (A ∩ B), we need to identify the elements that are common to both sets A and B.

In this case, the elements that are present in both sets A and B are:

A ∩ B = {4, 10, 12, 18}

The number of elements in the set (A ∩ B) is the count of these common elements, which is 4.

n(A ∩ B) = 4

So, we have:

The number of elements in the set (A U B): n(A U B) = 16

The number of elements in the set (A ∩ B): n(A ∩ B) = 4

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Answer:

zero slope

Step-by-step explanation:

Answer:

The answer is Not Statistical.

Answer:

non-statistical

Step-by-step explanation:

because you are asking about one gorilla, if there were more, than that would be non statistical

Answer: Z = 0.9y - 20

                     _______

                           4

Step-by-step explanation: First, add (-20)/3 to both sides. Then, divide both sides by 4/3.

The given distribution of frequency of yearly income represents a positively skewed distribution.

In a positively skewed distribution, the tail of the distribution extends towards higher values, and the majority of the data is concentrated towards the lower end. This means that there are relatively fewer high-income values and more low-income values in the distribution.

Regarding the effect on the mean, a positively skewed distribution tends to pull the mean towards the higher end of the distribution. This happens because the few higher values have a disproportionate impact on the overall average. As a result, the mean is typically greater than the median in a positively skewed distribution. The presence of extreme high-income values in the distribution can greatly influence and increase the mean value.

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Answer:

6675346654444565443213344333233443322

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

x = 34

Step-by-step explanation:

Using Pythagorean Theorem ,

\( {x}^{2} = {16}^{2} + {30}^{2} \)

\( = > {x}^{2} = 256 + 900 = 1156\)

\(x = \sqrt{1156} = 34\)

Yes. All the side lengths of the triangle form a Pythagorean Triplet.

Answer:

X=34

Step-by-step explanation:

x^2=30^2+16^2

x^2=900+256

x^2=1156

take the square root of both sides

X=√1156

X=34

if we were to round to the nearest thousand you would get 4,7000

Answer:

47000

Step-by-step explanation:

Key skills needed: Rounding and Estimation

1) We have the number 47138

2) We need to round this to the nearest thousand. This means we look at the part that is "7138"

3) We need to see if 7138 is close to 7000 or 8000.

4) It is only 138 away from 7000, but 862 away from 8000.

5) This means 7138 rounded to the nearest thousand is 7000.

6) That means 47138 rounded to the nearest thousand is 47000.

Hope you understood and have a nice day!! :D

To correct Sarah's answer, the standard form of the given value would be = 4.01 × 10^⁹ km.

Standard form is defined as the simplified method of representation of large numericals using decimal number, between 1.0 and 10.0, which is then multiplied by a power of 10.

The distance between the earth and Mars = 4.01 x 100,000,000 kilometers.

There are 9 digits in 100,000,000,

Therefore to write the standard form of the given distance of 4.01 x 100,000,000 kilometers would be;

4.01 × 10^⁹ km.

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Answer: 8 units

Step-by-step explanation:

     First, we must find the y-intercepts. To do this, we will transform both equations into slope-intercept form.

     2x + 3y = -12

     3y = 2x - 12

           y = \(\frac{2}{3}\)x - 4

     5x + 2y = 8​

     2y = 5x + 8

           y = \(\frac{5}{2}\)x + 4

     These equations have y-intercepts of positive 4 and negative four. Since they are both on the y-axis as y-intercepts, we can find the distance between these two points with the following equation. Let x be equal to the distance between them.

     |4| + |-4| = x

     4 + 4 = x

     x = 8

     I have also graphed the two equations, see attached.

The -2/3 is an  integer and rational number.

It is required to choose the number.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

-2/3 is an integer and rational number.

The square root of 25 is 5 is an Natural numbers, whole number, integer, and rational number.

Natural numbers are positive whole numbers (1, 2, 3, 4, 5, ...)

Whole numbers are positive numbers start with  zero  (0, 1, 2, 3,...)

Integers are positive and negative whole numbers or zero (..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...)

Rational numbers include all integers as well as positive or negative numbers that have fractional parts ( -2.0, -3/4, 0.25, 2.1, 5, etc.)

Irrational numbers are numbers that can not be written as a simple fraction.  Its decimal goes on forever without repeating (π = 3.14159....)

5 is a natural number, whole number, integer, and rational number.

Therefore, the -2/3 is an  integer and rational number.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Answer: m = -5

Explanation: Linear equations can be written in the form y = mx + b

where the multiplier, m, represents the slope of the line and the b

represents the y-intercept of the line.

The slope is the coefficient of the x term which is -5.

So we say that m = -5.

Take a look below ↓

First, make sure you understand the directions and what is being asked of you. Read each problem carefully, and make sure you know what type of problem it is (e.g., addition, subtraction, multiplication, division, algebra, geometry, etc.).

Next, use any formulas or rules you know to help you solve the problem. If you get stuck, try breaking the problem down into smaller parts or drawing a diagram to help you visualize what's happening.

Remember to check your work as you go along to catch any mistakes early on. And don't be afraid to ask for help if you're stuck or confused.

In summary, take your time, read each problem carefully, use any formulas or rules you know, break the problem down into smaller parts if needed, check your work as you go along, and ask for help if needed.

1. Understand the problem: Read the problem carefully and identify the key terms, variables, and what is being asked. Take note of any given information.

2. Choose the appropriate strategy: Based on the type of problem (e.g., algebra, geometry, trigonometry), select the best method or formula to use. Keep in mind any rules or properties relevant to the problem.

3. Set up the problem: Write down the relevant equations, expressions, or shapes, and assign variables to any unknown quantities. Make sure to use the correct units of measurement, if applicable.

4. Solve the problem: Perform the necessary calculations, keeping track of your steps and making sure to follow the order of operations. Check your work for any mistakes, and adjust your strategy if necessary.

5. Check your answer: Verify that your solution makes sense within the context of the problem. If possible, substitute your answer back into the original problem to ensure it satisfies the given conditions.

Remember, practice is essential for improving your math skills. Don't hesitate to seek help from teachers, tutors, or online resources when you encounter difficulties. Keep working on problems, and you'll become more confident in your abilities.

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