in a distribution, a random variable can take any value in a specified range. group of answer choices discrete probability cumulative relative frequency continuous probability

Answer: 25 km

Step-by-step explanation:

The car moves with a speed of 40 km/h for 15 minutes, which is 0.25 hours, so the distance covered in this time is:

distance = speed × time = 40 × 0.25 = 10 km

Then, the car moves with a speed of 60 km/h for the next 15 minutes, which is another 0.25 hours. The distance covered in this time is:

distance = speed × time = 60 × 0.25 = 15 km

Therefore, the total distance covered by the car is the sum of the distances covered during the two intervals:

total distance = 10 + 15 = 25 km.

 \(f(x)= 32sin(\frac{\pi}{4})x+21\) at x=1 is \(16\sqrt{2}+21\).

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

Given the function,

\(f(x)= 32sin(\frac{\pi}{4})x+21\)----------(1)

We have to find the value of the function at x=1. i.e., f(1).

For that we have to replace all the x values in the function as 1.

The equation (1) becomes,

f(1)= \(32*\frac{1}{\sqrt{2} }*1+21\)

    = \(\frac{16*\sqrt{2}*\sqrt{2} }{\sqrt{2} }+21\)

   = \(16\sqrt{2}+21\)

Then, the value of function at x=1 is \(16\sqrt{2}+21\)

Hence,  \(f(x)= 32sin(\frac{\pi}{4})x+21\) at x=1 is \(16\sqrt{2}+21\)

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Answer:

x=9 is the answer......

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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The probability of including k specified members in a random sample of size n without replacement from a population of size N can be calculated using the hypergeometric distribution.

The hypergeometric probability mass function is given by:

\(\[P(X = k) = \frac{{\binom{K}{k} \cdot \binom{N-K}{n-k}}}{{\binom{N}{n}}}\]\)

where:

- K is the number of specified members in the population.

- n is the size of the sample.

- k is the number of specified members in the sample.

- N is the total population size.

In this case, we want to find the probability that k specified members are included in the sample, so the probability can be calculated using the hypergeometric distribution formula.

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Answer:

School A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.

Step-by-step explanation:

School A points = 174

School B points = 102

Every correct answer is awarded 10 points and every incorrect answer reduces 6 points.

Let x be the number of correct answer given by school A and thus x is the number of  incorrect answer given by school A. The, school B also gives x number of correct answers

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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Answer:

To find out what should be subtracted from -5/4 to get -1, we need to solve the equation if you dont know something in math you can always put it as x first.

-5/4 - x = -1

where x is the number that needs to be subtracted.

To solve for x, we have to simplify the left side of the equation:

-5/4 - x = -1

-5/4 + 4/4 - x = -1  (adding 4/4 to both sides)

-1/4 - x = -1

Now, we can isolate x by adding 1/4 to both sides of the equation:

-1/4 - x = -1

-1/4 + 1/4 - x = -1 + 1/4  (adding 1/4 to both sides)

-x = -3/4

Finally, we can solve for x by multiplying both sides by -1:

-x = -3/4

x = 3/4

Therefore, the number that should be subtracted from -5/4 to get -1 is 3/4.

The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Answer:

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

Step-by-step explanation:

This question can be solved by using ratios

Strawberry       :      Pineapple

1     cup              :          2/3 cup

x cup                  ;            1 cup

Using the cross product rule

2/3 * x= 1*1

x= 1*1 ÷ 2/3

x= 1*3/2= 1 1/2= 1.5

For 2 cups of pineapple 3 cups of strawberries are used.

For 1 cup of  pineapple 1 .5  cups of strawberries are used.

For 3 cups of pineapple 4.5 cups of strawberries are used.

Let us start by looking at the difference between statistical and non statistical question.

For a statistical question. a single answer is usually impossible while a statistical question has a single answer.

If someone asks how old are you, the answer is simple and it is expected to be a single answer.

If the question is how old are the boys in your neighborhood, a single answer is not possible. The ages are different since some are older than the others. In this case, there is spread in the data. We would be considering looking for the average age of a given number of boys. We may also consider the spread of the ages and other parameters like range, median etc

Answer:

67 times

Step-by-step explanation:

33,500 divided by 500 is equivalent to 67

Answer:

4,-6

Step-by-step explanation:

Greetings from Brasil...

Let Ca be the function for Plan A and Cb the function for Plan B.

According to the problem statement, we can conclude that:

where C is the cost and n is the number of videos

Cost that the user will pay for having watched n videos

Ca = cost of Plan A

Cb = cost of Plan B

Is there any point (n) that Ca will be equal to Cb??? Let's equate the functions to check if there is a common point and if there is, what would it be.

Ca = Cb

3n + 8 = 5n

2n = 8

n = 4

In n = 4 we have a condition for the cost that does not matter Ca or Cb.

I will present 2 ways to solve:

1 - building the graph of the functions and observing the points where the Y axis (cost axis) its smaller

2 - assigning 2 points - below n = 4 and above n = 4 - to observe the cost behavior

1 - see attachment

2 - let's choose the points n = 1 and n = 10 (as already said, n=4 does not matter Ca or Cb - meeting point / intersection point)

n = 1

Ca(1) = 3.1 + 8 = 11

Cb(1) = 5.1 = 5

Ca > Cb, then Cb better to the user

n = 10

Ca(10) = 3.10 + 8 = 38

Cb(10) = 5.10 = 50

Ca < Cb, then Ca better to the user

We can come to the following conclusion:

0 < n < 4 → better use Plan B (in this interval the cost to the user will be lower with Plan B)

n = 4 → It doesn't matter to use Plan A or Plan B.

n > 4 → better use Plan A (for n above 4 the cost to the user will be lower with Plan A)

Answer:

Numerical.

Step-by-step explanation:

A number sentence is a statement of equality between two numerical expressions!

Hope this helps!

Answer:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Step-by-step explanation:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%

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This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.

The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.

For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.

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Answer:

a. y= 1/3 x + 2

b. x= -6

c. y=2

Step-by-step explanation:

the points are (-3,1)

the gradient is 1/3 as it is perpendicular

1= 1/3 (-3) +c

1= -1 +c

c= 1+1

=2

So, y= 1 x + 2

3

b.

x-intercept is when y=0

so substituting 0 in the equation

here: 0=1/3x + 2

1/3 x = -2

x = -6

c.

y-intercept is when x=0

y=1/3 (0) +2

y=2

Step-by-step explanation:

75 cm =0.75 m

0.75/1.5=0.5

0.5=5/10=1/2

1:2

Answer:

ratio 1 to 2

Step-by-step explanation:

first convert 75cm to m

which is equal to 0.75m

0.75/1.5 =1 /2

the answer is 1 to 2

Answer:

see below

Step-by-step explanation:

Take the number of people surveyed and multiply by 30 %

8 * 30%

Change to decimal form

8 * .3

2.4

About 2.4 will purchase online

Answer:

a^-20

Step-by-step explanation:

When multiplying, you add the powers.

-8 + - 10 + - 2 = - 20

a^ - 20

Hope this helps!

csc²(x) - 1 simplifies to sec²(x).  In conclusion, the given identity csc²(x) - 1 = sec²(x) is verified.

To verify the given identity csc²(x) - 1 = sec²(x), we can start with the definition of cosecant (csc) and secant (sec) functions.

The cosecant function is defined as the reciprocal of the sine function: csc(x) = 1/sin(x). The secant function is defined as the reciprocal of the cosine function: sec(x) = 1/cos(x).

Now, let's rewrite the left side of the equation using the definition of csc:

csc²(x) - 1 = (1/sin(x))² - 1 = 1/sin²(x) - 1.

Next, we'll use the Pythagorean identity for sine and cosine: sin²(x) + cos²(x) = 1.

We can rearrange this equation to solve for sin²(x): sin²(x) = 1 - cos²(x).

Now, substitute this expression into the previous equation:

1/sin²(x) - 1 = 1/(1 - cos²(x)) - 1.

To simplify this further, w:

e can use the concept of a common denominator. The common denominator for both terms is (1 - cos²(x)):

1/(1 - cos²(x)) - 1 = (1 - (1 - cos²(x)))/(1 - cos²(x)) = cos²(x)/(1 - cos²(x)).

Now, using the definition of sec, we can rewrite cos²(x)/(1 - cos²(x)) as sec²(x).

Therefore, csc²(x) - 1 simplifies to sec²(x).

In conclusion, the given identity csc²(x) - 1 = sec²(x) is verified.

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Answer: here it is 14f-30-15e

Answer: It would take 3 hours for all the candies to be gone.

Step-by-step explanation: I don't know if that is the answer your looking for but if every hour 100 trick or treaters come for at least 1 candy it will take 3 hours because 300 divided by 100 = 3.

Numerical values of,

Million: 1,000,000

Billion: 1,000,000,000

Trillion: 1,000,000,000,000

Quadrillion: 1,000,000,000,000,000

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values

Million: A million is a number equal to 1,000,000 (one followed by six zeros). It is often used to express large quantities of things, such as the population of a city or the number of dollars in a large fortune.

Billion: A billion is a number equal to 1,000,000,000 (one followed by nine zeros). It is a larger quantity than a million and is often used in economic contexts, such as the value of a company or the national debt of a country.

Trillion: A trillion is a number equal to 1,000,000,000,000 (one followed by twelve zeros). It is an even larger quantity than a billion and is often used in scientific and astronomical contexts, such as the distance between stars or the number of cells in the human body.

Quadrillion: A quadrillion is a number equal to 1,000,000,000,000,000 (one followed by fifteen zeros). It is an extremely large quantity and is rarely used in everyday contexts.

Zillion and Gazillion: These are informal and exaggerated terms that do not have specific numerical values. They are often used to express an extremely large or unknown quantity in a humorous or hyperbolic way.

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