What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.

The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values

The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.

In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).

The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.

This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.

The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.

These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.

By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.

Therefore, option (a) is correct.

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The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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Answer:x=1 I, i-1

Step-by-step explanation:

To determine how much money we had in the first place we can use a rule of three:

Then we have that:

Therefore, you originally has $200

Step-by-step explanation:

4 + 3x -20 = 0

3x - 16 = 0

3x = 16

x = 16/3

Answer:

-6 ≤ x < 0

Step-by-step explanation:

Subtract the 7 on both sides to get x isolated.

Answer:

-6 ≤ x < 0

Step-by-step explanation:

This is the answer because:

1) First, we have to isolate the x

2) In order to isolate the x, you have to subtract 7 from 1 and 7

1 - 7 = -6

7 - 7 = 0

Therefore, the inequality is -6 ≤ x < 0

Hope this helps! :D

100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

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Answer:

30 minutes

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

We know that you can type 50 words in 10 minutes, as along as being asked how long it'll take you to write 150 words.

W = Words

M = Minutes

Since we can read 50 words in 10 minutes, we can create our unit ratio.

\(\frac{50}{w} = \frac{10}{m}\)

We are looking to get 150 words, so multiply 50 by 3 and do the same for 10.

\(\frac{150}{w} = \frac{30}{m}\)

Therefore it takes 30 minutes to write 150 words.

a) Probability that the third ball drawn is red, when the balls are drawn from the box, one at a time, without replacement. The number of ways to draw three balls from 100 is 100C3, which is the total number of ways to draw three balls from the box. The number of ways to draw three balls so that the third one is red is the number of ways to choose 2 balls from the 99 black and red balls that are not the red ball, times the number of ways to choose the red ball from the 1 red ball, which is (99C2) * 1 = (99 × 98) / 2.

Therefore, the probability that the third ball drawn is red is:(99 × 98) / (100 × 99 × 98 / 3) = 3/100 = 0.03.

b) Probability that the third ball drawn is red, when the balls are drawn from the box, one at a time, with replacementWhen the balls are drawn with replacement, each draw is independent of the previous ones. The probability of drawing a red ball is r/100, and this probability is the same for each draw.

Therefore, the probability that the third ball drawn is red is:r/100 = r/100

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Answer:

No solution.

Step-by-step explanation:

Tried a lot but the answer is constantly 0. I guess it's A.

Answer:

C. infinite

Step-by-step explanation:

Step-by-step explanation:

Please write complete question

Answer:

lol u gotta put the thing first bro

Step-by-step explanation:

Answer:

  x = 192

Step-by-step explanation:

The three right triangles in the figure are all similar, so their sides are proportional.

The length marked x is the long side of the smallest triangle, and the short side of the middle-size triangle. The long side of the middle-size triangle is ...

  400 -144 = 256

We now have enough information to write the proportion ...

  long side/short side = x/144 = 256/x

Multiplying by 144x gives ...

  x² = (144)(256)

  x = √(144×256) = 12×16 = 192

The length x is 192 units.

The null hypothesis states that there is **no relationship between contrast between eye color and skin tone and perceived femininity**, while the alternative hypothesis suggests that **there is a relationship between contrast between eye color and skin tone and perceived femininity**.

In this case, the graduate student's belief is that people consider faces with more contrast between eye color and skin tone as more feminine. To test this belief, the null hypothesis assumes that there is no such relationship, meaning that the contrast between eye color and skin tone does not influence the perception of femininity. On the other hand, the alternative hypothesis proposes that there is indeed a relationship, implying that the contrast between eye color and skin tone plays a role in determining perceived femininity.

It is important to note that the null hypothesis is typically set up as the default assumption, stating that there is no effect or relationship, while the alternative hypothesis challenges this assumption and suggests the presence of an effect or relationship. The purpose of conducting statistical analyses is to gather evidence to support or reject the null hypothesis in favor of the alternative hypothesis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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Answer:

Y = (x - 7) (x + 2)

Step-by-step explanation:

Answer:

y= (x+1)(x+ .5) (x+ 3.5)

y= (x+1) (X - .5) (x-3.5)

y = (x-1) (X-.5) (x-3.5)

y= (x+1) (X- .5) (x +3.5)

Step-by-step explanation:

The map visually represents the spatial distribution of the Hispanic population across U.S. counties, allowing for the identification of patterns and clusters. On the other hand, the histogram provides a quantitative representation of the distribution, illustrating the frequency or density of Hispanic population within specific ranges or categories.

The map reveals certain features that may not be apparent in the histogram. For instance, it allows us to observe spatial concentrations or clusters of Hispanic population, such as regions with high densities of Hispanic residents or areas where the Hispanic population is more dispersed. These spatial patterns can provide insights into factors like immigration patterns, cultural heritage, or historical settlement patterns that influence the distribution of the Hispanic population in the United States.

Conversely, the histogram highlights features that may not be readily visible in the map. The histogram enables a more detailed examination of the distribution within specific population ranges or categories. It can reveal the frequency or density of the Hispanic population within each range, allowing for comparisons across different counties or regions. By examining the histogram, one can identify variations in the size or proportion of the Hispanic population in different areas, potentially indicating demographic disparities or variations in population growth rates.

In summary, the map provides a visual understanding of the spatial distribution of the Hispanic population, highlighting clusters and patterns, while the histogram offers a quantitative representation, revealing variations in population density within specific ranges or categories. Both tools are valuable for analyzing and interpreting the distribution of the Hispanic population in U.S. counties, providing complementary perspectives for understanding demographic trends and patterns.

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To find the change in population of insects between day 0 and day 3, we need to calculate the population at both times and subtract them.

Using the given rate equation, we can calculate the population at day 0 and day 3 as follows:
At day 0 (t=0):
Population = 200(10^0) + 13(0^2) = 200
At day 3 (t=3):
Population = 200(10^3) + 13(3^2) = 20,130
Therefore, the change in population between day 0 and day 3 is:
20,130 - 200 = 19,930
So the population of insects increased by 19,930 between day 0 and day 3.

To find the change in the population of insects between day 0 and day 3 with the given rate of 200 + 10t + 13t^2, follow these steps:
1. Plug in t = 0 (day 0) into the rate equation: 200 + 10(0) + 13(0)^2 = 200
2. Plug in t = 3 (day 3) into the rate equation: 200 + 10(3) + 13(3)^2 = 200 + 30 + 117 = 347
3. Subtract the day 0 population from the day 3 population: 347 - 200 = 147
The change in the population of insects between day 0 and day 3 is 147.

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Answer:

−2.4x−9.6

Step-by-step explanation:

We can find the probabilities of ever transiting from states 4, 5, and 6 to a transient state by looking at the fourth, fifth, and sixth rows of F, respectively.

To find the mean time spent by the Markov chain in any transient states of the chain which starts at any transient state, we need to first identify the transient states. In this case, we can see that states 1, 3, and 7 are transient states since there is a non-zero probability of reaching an absorbing state (states 4, 5, and 6) from these states.

Next, we need to find the expected time spent in each of the transient states before reaching an absorbing state. We can set up a system of equations to solve for these expected times using the fact that the expected time spent in a state is equal to 1 plus the sum of the expected times spent in each possible next state, weighted by their transition probabilities.

For example, for state 1, we have:

E(T1) = 1 + 0.5E(T2) + 0.25E(T3)

where E(Ti) is the expected time spent in state i before reaching an absorbing state.

Similarly, for state 3, we have:

E(T3) = 1 + 0.4E(T2) + 0.2E(T4)

And for state 7, we have:

E(T7) = 1 + 0.2E(T5) + 0.5E(T6)

Solving these equations, we get:

E(T1) = 5

E(T3) = 5.5

E(T7) = 4

Therefore, the mean time spent by the Markov chain in any transient state is:

(E(T1) + E(T3) + E(T7))/3 = (5 + 5.5 + 4)/3 = 4.83

To find the probability that the Markov chain will ever transit to one of the transient states starting from another transient state, we can use the concept of fundamental matrix. The fundamental matrix F is defined as the matrix (I-Q)^-1, where Q is the submatrix of P consisting of the transition probabilities between transient states.

In this case, we have:

Q = [0 0.25 0.2;

0.4 0 0.2;

0.2 0.2 0]

Using a calculator or software to calculate the inverse of (I-Q), we get:

(I-Q)^-1 = [1.25 0.625 1;

0.625 1.25 1;

1 1 1.5]

The (i,j)-th entry of F represents the expected number of times the Markov chain will visit state j starting from state i before reaching an absorbing state. Therefore, the probability of ever transiting to a transient state starting from another transient state is simply the sum of the corresponding entries in F.

For example, to find the probability of ever transiting from state 2 to a transient state, we look at the second row of F:

[0.625 1.25 1]

The sum of these entries is 0.625 + 1.25 + 1 = 2.875, so the probability of ever transiting from state 2 to a transient state is 2.875.

Similarly, we can find the probabilities of ever transiting from states 4, 5, and 6 to a transient state by looking at the fourth, fifth, and sixth rows of F, respectively.

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The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution

To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:

A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ

In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).

Plugging these values into the surface area formula and simplifying, we get:

A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ

Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.

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Hence, the number of miles traveled by car, when it has gasoline of 15 gallons is 420 miles

The hypergeometric probability function is based on the counting rule for combinations.

This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.

The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.

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Answer:

4.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

The resulting equivalent expression is -2k + 6

Equivalent expression.

Equivalent expression means an expressions that work the same even though they look different. If we said the two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Given,

Here we have the expression -2k - (-5) + 1

Now, we have to combine the like terms and then we have to solve it in order to find the equivalent expression.

First, we have to write the given expression,

=> -2k - (-5) + 1

Here we know that (-) x (-) = (+), therefore, the given expression is rewritten as follows:

=> -2k + 5 + 1

Here the only like term is the constant 5 and 1, so, we have to combine these constant, the  we get the expression like the following;

=> -2k + (5 + 1)

No, we have to add the constant in order to get the equivalent expression,

=> - 2k + 6

Therefore, the equivalent expression i s -2k + 6.

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