What is the median of 35 27 51 31 28 19 33?

The driver B has the fastest typical race time.

It is required to find which driver's race times were the most variable.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.

Also from the standard deviation given 3.96  seconds  for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.

Therefore, the driver B has the fastest typical race time.

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The statement "a correlation of 0.09 indicates a strong positive association" is false.

A correlation coefficient of 0.09 indicates a very weak positive association, as the correlation coefficient ranges between -1 to +1. A correlation coefficient of 0 means no association, while a correlation coefficient of 1 means a perfect positive association, and a correlation coefficient of -1 means a perfect negative association.

Therefore, the correct answer is C. The statement is false because a correlation of 0.09 indicates a very weak positive association.

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Answer:

2.6+7.4 or 2.4+7.6

Step-by-step explanation:

Both of the above equals to 10!

Answer:

Step-by-step explanation:

Given

As per angle addition postulate

Answer:

3 > x > − 4 and your welcome bud

The value of x in (x,7) is -1

Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.

Let one end point of line segment be A(a,b) and other end be B(c,d)

then its mid point X(x,y) will be given by \(x=\frac{a+c}{2} , y=\frac{b+d}{2}\)...….(1)

Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)

The  mid point \((1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )\)...............using (1)

On comparing the x coordinate we get

\(1=\frac{3+x}{2}\)

On cross multiplying we get

\(2=3+x\)

On solving further

\(x=-1\)

Therefore ,  the value of x in (x,7) is -1.

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The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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Sally has a total of 200 stamps.

To find the total number of stamps Sally has, we can use the information given.

Let's assume the total number of stamps Sally has is represented by "x."

We are told that 45% of her stamps are from the United States, which means 45% of x is equal to 90 stamps. Mathematically, we can write this as:

0.45x = 90

To find the value of x, we can divide both sides of the equation by 0.45:

x = 90 / 0.45

Simplifying the right side of the equation:

x = 200

Therefore, Sally has a total of 200 stamps.

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Answer: a.) x + 5 = 12     b.) 4 · x = -20.

hope this is correct :)

x being any number, specifically any real number between -2 and 6

-2<x</=6

i think!?

It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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Answer:

Triangles a, b, and d

Step-by-step explanation:

The three triangles have a side length measurement, an angle measure, then another side length measurement

in that order (the order matters)

Triangle a,b and d are the answers.

"SAS" is when you know the two sides and the angle between them. Use the cosine theorem to calculate the unknown edge, then use the sine and cosine theorem to find the smaller of the other two angles, and then use the three angles that are 180 ° to find the last angle. .. The side of the

angle refers to the two rays or line segments that form the angle. In the figure below, the rays BA and BC are the sides of the angle ABC. An angle is formed by rotating a ray around its endpoint.

Edge-side assumptions-> If the two sides and edges of a triangle are congruent with the two sides and the edges of another triangle, the two triangles are congruent by the side-angle assumptions.

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Two ways of writting the linear function are:

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we know that the slope is 2/5, replacing that we will get:

y = (2/5)*x + b

We also know that this line passes through (12, -5), then we can replace these values to get:

-5 = (2/5)*12 + b

-5 = 24/5 + b

-5 - 24/5 = b

-25/5 - 24/5 = b

-49/5 = b

Then the linear equation is:

y = (2/5)*x - 49/5

Other form of writting this is the standard form, multiply both sides by 5.

5y = 2x - 49

5y - 2x = -49

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

here is my answer...hope it's helpful

Answer:

there was 1300 fewer cars so your answer would be -1300 :-)

Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.

To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.

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Answer:

Step-by-step explanation:

7,80

Answer:

120

Step-by-step explanation:

6 girls can send 60 text messages in 30 minutes, so 60 minutes woudl equal 120

a.  y(t) = x(t-2) + x(2-t) is causal,

b. y(t) = c is memoryless, linear, time-invariant, and causal. It is stable.

c. y(t) = (cos(3t)]x(t) is causal and stable.

d.  y(n) = x(n - 2) – 2x(n - 8) is causal.

e. y(n) = nx(n) is memoryless, linear, time-invariant, causal, and stable.

f. y(n) = x(4n + 1) is causal.

a. y(t) = x(t-2) + x(2-t)

It is causal as the output at any time depends only on the present and past values of the input.

Stability cannot be determined from the given equation.

b. y(t) = c

This system is memoryless because the output y(t) is solely determined by a constant value c, regardless of the input.

It is linear as the output is a scaled version of the input x(t), and it is also time-invariant since shifting the input does not affect the output expression. It is causal and stable since it produces a constant output regardless of the input.

c. y(t) = (cos(3t)) × x(t)

It is time-invariant since shifting the input does not affect the output expression.

It is causal and stable as the output at any time depends only on the present and past values of the input.

d. y(n) = x(n - 2) – 2x(n - 8)

The system is time-invariant as shifting the input by a constant time results in the same output expression.

It is causal as the output at any time depends only on the present and past values of the input.

Stability cannot be determined from the given equation.

e. y(n) = nx(n)

This system is memoryless because the output y(n) is solely determined by the present value of the input x(n) multiplied by n.

It is linear since it consists of scaling the input by n.

It is time-invariant as shifting the input does not affect the output expression.

It is causal and stable as the output at any time depends only on the present value of the input.

f. y(n) = x(4n + 1)

It is linear as it involves a single scaling operation.

It is time-invariant as shifting the input does not affect the output expression.

It is causal as the output at any time depends only on the present and past values of the input.

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In the given problem, we need to investigate if the given systems are linear memoryless, linear, time-invariant, casual, and stable.

Let's discuss the given system step by step:

a) y(t) = x(t-2) + x(2-t)

Memoryless:

The system y(t) = x(t-2) + x(2-t) is not memoryless because the output at any given time t depends on the input over a range of time.

Linear:

The system y(t) = x(t-2) + x(2-t) is linear because it satisfies the following two properties

:i) Homogeneity

ii) Additivity

Time-invariant:

The system y(t) = x(t-2) + x(2-t) is not time-invariant because a time delay in the input x(t) causes a different time delay in the output y(t).

Casual:

The system y(t) = x(t-2) + x(2-t) is not casual because the system's output depends on the future input samples.

Stable:

The system y(t) = x(t-2) + x(2-t) is not stable because the impulse response of this system is not absolutely summable.

b) y(t) =Memoryless:

The system y(t) = is not memoryless because the output at any given time t depends on the input over a range of time.

Linear:

The system y(t) = does not satisfy the additivity property. Hence, it is not linear.

Time-invariant:

The system y(t) = is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(t) = is casual because the system's output depends on the present and past input samples.

Stable:

The system y(t) = is stable because the impulse response of this system is absolutely summable.

c) y(t) = (cos(3t)]x(t)Memoryless:

The system y(t) = (cos(3t)]x(t) is not memoryless because the output at any given time t depends on the input over a range of time.

Linear:

The system y(t) = (cos(3t)]x(t) is linear because it satisfies the following two properties:

i) Homogeneity

ii) AdditivityTime-invariant:

The system y(t) = (cos(3t)]x(t) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(t) = (cos(3t)]x(t) is casual because the system's output depends on the present and past input samples.

Stable:

The system y(t) = (cos(3t)]x(t) is stable because the impulse response of this system is absolutely summable.

d) y(n) = x(n - 2) – 2x(n - 8)Memoryless:

The system y(n) = x(n - 2) – 2x(n - 8) is not memoryless because the output at any given time n depends on the input over a range of time.

Linear:

The system y(n) = x(n - 2) – 2x(n - 8) is linear because it satisfies the following two properties

:i) Homogeneity

ii) AdditivityTime-invariant:

The system y(n) = x(n - 2) – 2x(n - 8) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(n) = x(n - 2) – 2x(n - 8) is not casual because the system's output depends on the future input samples.

Stable:

The system y(n) = x(n - 2) – 2x(n - 8) is stable because the impulse response of this system is absolutely summable.

e) y(n) = nx(n)Memoryless:

The system y(n) = nx(n) is memoryless because the output at any given time n depends on the present input sample.

Linear:

The system y(n) = nx(n) is not linear because it does not satisfy the homogeneity property.

Time-invariant:

The system y(n) = nx(n) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(n) = nx(n) is not casual because the system's output depends on the future input samples.

Stable:

The system y(n) = nx(n) is not stable because the impulse response of this system is not absolutely summable.

f) y(n) = x(4n + 1)Memoryless:

The system y(n) = x(4n + 1) is memoryless because the output at any given time n depends on the present input sample.

Linear:

The system y(n) = x(4n + 1) is not linear because it does not satisfy the additivity property.

Time-invariant:

The system y(n) = x(4n + 1) is time-invariant because shifting the input causes the same amount of shift in the output.

Casual:

The system y(n) = x(4n + 1) is not casual because the system's output depends on the future input samples.

Stable:

The system y(n) = x(4n + 1) is not stable because the impulse response of this system is not absolutely summable.

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Answer:  

a        

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because the ops are always trying to oppose things, so you show them why they're wrong.

The pizza parlor offers 2^48, or approximately 281 trillion, different pizzas.

To calculate the total number of different pizzas offered, we need to consider all possible combinations of pizza sizes and toppings.

For each pizza size, there are 12 options for toppings (including no toppings). Therefore, the total number of pizzas for a single size is 2^12 (2 options for each of the 12 toppings). Since there are four different sizes, the total number of different pizzas offered by the parlor is:

2^12 x 2^12 x 2^12 x 2^12 = 2^(12+12+12+12) = 2^48

Thus, the pizza parlor offers 2^48, or approximately 281 trillion, different pizzas.

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The mean of monthly cell phone bills today is different from $48.41. (2) his would be a false positive result,(3) having a large sample size, or having high variability in the data.

A null hypothesis is a type of hypothesis which explains the population parameter whose purpose is to test the validity of the given experimental data.

(a) The null hypothesis for the researcher's test could be:

H0: The mean of monthly cell phone bills today is equal to $48.41.

The alternative hypothesis could be:

Ha: The mean of monthly cell phone bills today is different from $48.41.

(b) A Type I error occurs when the null hypothesis is rejected, even though it is actually true. In this case, it would mean that the researcher concludes that the mean of monthly cell phone bills today is different from $48.41, when in reality it is not. This would be a false positive result, and it could happen due to various factors such as using a significance level that is too high, having a small sample size, or experiencing random sampling error.

(c) A Type II error occurs when the null hypothesis is not rejected, even though it is actually false. In this case, it would mean that the researcher concludes that the mean of monthly cell phone bills today is equal to $48.41, when in reality it is different. This would be a false negative result, and it could happen due to various factors such as using a significance level that is too low, having a large sample size, or having high variability in the data.

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Answer:

426.07 square units

Step-by-step explanation:

Recall that for a triangle whose angles are A,B,C  with corresponding sides a, b, c, the area G of the triangle may be computed as

G = 1/2 ab Sin C

or

G = 1/2 bc Sin A

or

G = 1/2 ac Sin B

Going by this, recall that the sum of angles in a triangle is 180 hence

94 + 26 + K = 180

120 + K = 180

Subtract 120 from both sides

K = 180 - 120

K = 60 degrees

Given that JK = 24 and JL = 41

G = 1/2 * 24 * 41 Sin 60

= 426.07 square units

The probability of picking one bolt and one nut is 1/2 or 50%.

To find the probability that one is a bolt and one is a nut, we need to use the formula for calculating the probability of two independent events happening together: P(A and B) = P(A) × P(B)

Let's first calculate the probability of picking a bolt from the box:

P(bolt) = number of bolts / total number of parts = 3/6 = 1/2

Now, let's calculate the probability of picking a nut from the box:

P(nut) = number of nuts / total number of parts = 3/6 = 1/2

Since the events are independent, the probability of picking a bolt and a nut in any order is:

P(bolt and nut) = P(bolt) × P(nut) + P(nut) × P(bolt)

P(bolt and nut) = (1/2) × (1/2) + (1/2) × (1/2)

P(bolt and nut) = 1/2

Therefore, the probability of picking one bolt and one nut is 1/2 or 50%.

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the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

To find the probability that one chosen part is a bolt and the other chosen part is a nut, we need to use the formula for probability:

Probability = (number of desired outcomes) / (total number of outcomes)

There are two ways we could choose one bolt and one nut: we could choose a bolt first and a nut second, or we could choose a nut first and a bolt second. Each of these choices corresponds to one desired outcome.

To find the number of ways to choose a bolt first and a nut second, we multiply the number of bolts (3) by the number of nuts (3), since there are 3 possible bolts and 3 possible nuts to choose from. This gives us 3 x 3 = 9 total outcomes.

Similarly, there are 3 x 3 = 9 total outcomes if we choose a nut first and a bolt second.

Therefore, the total number of desired outcomes is 9 + 9 = 18.

The total number of possible outcomes is the number of ways we could choose two parts from the box, which is the number of ways to choose 2 items from a set of 6 items. This is given by the formula:

Total outcomes = (6 choose 2) = (6! / (2! * 4!)) = 15

Putting it all together, we have:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 18 / 15
Probability = 1.2

However, this answer doesn't make sense because probabilities should always be between 0 and 1. So we made a mistake somewhere. The mistake is that we double-counted some outcomes. For example, if we choose a bolt first and a nut second, this is the same as choosing a nut first and a bolt second, so we shouldn't count it twice.

To correct for this, we need to subtract the number of outcomes we double-counted. There are 3 outcomes that we double-counted: choosing two bolts, choosing two nuts, and choosing the same part twice (e.g. choosing the same bolt twice). So we need to subtract 3 from the total number of desired outcomes:

Number of desired outcomes = 18 - 3 = 15

Now we can calculate the correct probability:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 15 / 15
Probability = 1

So the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

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There are 4*6=24 potential triangles if you draw all the diagonals of a regular hexagon, but since 4 of those are identical (the equilateral triangles), there are only 24−4=20 triangles that may be formed.

In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

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Answer:

2#) 20f+15-2f

18f+15

2#) choose 1

3#)60-3h-9

51-3h —> 3(17-h)

3#)choose 1

4#) 4(5x+3y)

20x+12y

4#)choose 4

5#) r+3r+ _=6r

6r-4r= 2r

5#)choose 4

Only point (1 ) I didn't know I'm sorry

The y values from:

1. ₋6

2. ₋3

3. 0

4. 3

Given the x values and y value as y = 3x

1. when x = ₋2 then y = 3x

y = 3(₋2)

y = ₋6

2. when x = ₋1 then y = 3x

y = 3(₋1)

y = ₋3

3. when x = 0 then y = 3x

y = 3(0)

y = 0

4. when x = 1 then y = 3x

y = 3(1)

y = 3

therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.

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Answer: 4

Step-by-step explanation: just divide 24 by 6