consider the following probability distribution: 1 2 3 4 5 0.1 0.15 0.40 0.25 0.10 find (write it up to second decimal place).

Answer:

195.3%

Step-by-step explanation:

125/64 ~ 1.953

Around 195.3%.

Answer:

Step-by-step explanation:

Our solution set is correct because it contains valid solutions.

We want to eliminate the inequality:

√c + 9 - √c > √3

First, we simplify the inequality's left side:

9 - √c > √3

Following that, we square both sides of the inequality:

81 - 2√c + c > 3

Now we simplify the inequality's right side:

c + 78 > 3

Finally, take 78 off both sides of the inequality:

c > -75

This gives us the following solution set:

c ∈ (-∞, -75) U (-75, ∞)

We test a value from each interval to validate our solution set:

Let's go with c = -100, which is in the range (-, -75). Putting it into context with the original inequality:

√(-100) + 9 - √(-100) > √3

Because the square root of a negative number is not defined, this choice of c is invalid.

Let us choose c = 0, which is in the range (-75,). Putting it into context with the original inequality:

√0 + 9 - √0 > √3

Because 9 > 3, this choice of c is a valid solution.

We can conclude that our solution set is correct because it contains valid solutions.

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The amount of salary after 10 years is, 304,902.5

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Your starting salary for a company is 32,750 a year.

And, In your contract, you are to receive an annual raise of 2.5% each year.

Now, The amount of salary after 10 years is,

⇒ A = 32,750 (1 + 0.25)¹⁰

⇒ A = 32,750 × (1.25)¹⁰

⇒ A = 32,750 × 9.31

⇒ A = 304,902.5

Thus, The amount of salary after 10 years = 304,902.5

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The correct graph for the absolute function can be seen below and the table shows the y-values with their corresponding x-values.

x      -3      -2      -1      0      1      2      3

y       1       0       -1       -2    -1    0       1

The graph of an absolute function looks like a V-shaped graph with its vertex of the given function y = |x| - 2 at  (0,-2). From the table, we are going to determine the y-values by replacing the x-values with the equation to solve for the y-values.

Given that:

y = |x| - 2 = |-3| - 2 = 3 - 2 = 1

y = |x| - 2 = |-2| - 2 = 2 - 2 = 0

y = |x| - 2 = |-1| - 2 = 1 - 2 = -1

y = |x| - 2 = |0| - 2 = 0 - 2 = -2

y = |x| - 2 = |1| - 2 = 1 - 2 = -1

y = |x| - 2 = |2| - 2 = 2 - 2 = 0

y = |x| - 2 = |3| - 2 = 3 - 2 = 1

For each x-value, there is one y-value. The x-values represent the domain of the function while the y-value represents the range of the function.

x      -3      -2      -1      0      1      2      3

y       1       0       -1       -2    -1    0       1

The graph can be seen in the image attached below.

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After measuring a set of individuals, a researcher finds that Bob’s score is three time greater than janes score. These measurements must come from a ratio scale. Therefore, the correct answer option is: C. ratio.

Generally speaking, there are four (4) basic scale of measurement for a variable and these include the following;

In Mathematics, a ratio scale can be defined as a quantitative scale of measurement where there is a true zero or origin characteristic. Additionally, there are equal intervals between neighboring data points on a ratio scale such as a score that is three time greater than another score.

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Complete Question:

After measuring a set of individuals, a researcher finds that Bob's score is three times greater than Jane's score. These measurements must come from a(n) ____ scale

a. nominal b. interval C. ratio O d.ordinal

Answer:

  B

Step-by-step explanation:

You want to know why ∛4 = 4^(1/3).

The applicable rule of exponents is ...

  (a^b)^c = a^(bc)

  a^1 = a

The cube root of a number is the value that, when cubed, gives the original number.

Let x represent the exponent of a cube root. Then the cube root of 4 must satisfy ...

  (4^x)^3 = 4

Simplifying, using the rules of exponents, we have ...

  4^(3x) = 4^1

Equating the powers tells us ...

  3x = 1

  x = 1/3 . . . . . divide by 3

That is, ...

  (4^(1/3))^3 = 4^(3/3) = 4^1 = 4 . . . . . . . matches answer choice B

__

Additional comment

By extension, the n-th root is equivalent to the power 1/n.

We can prove that a cube root of 4 is equal to 4 to the one-third power by the rule of the exponent.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, a cube root of 4 equal to 4 to the one-third power

Rules of exponents

Since The applicable rule of exponents is

 (a^b)^c = a^(bc)

 a^1 = a

Cube root:

The cube root of a number is the value that, when cubed, gives the original number.

Cube root of 4:

Let x represent the exponent of a cube root. Then the cube root of 4 will be:

 (4^x)^3 = 4

Simplifying, using the rules of exponents

 4^(3x) = 4^1

Equating the powers

 3x = 1

 x = 1/3 . . . . . divide by 3

therefore,

=>  (4^(1/3))^3 = 4^(3/3) = 4^1 = 4

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The midpoint of AB connecting A(-2,5) and B(2,0) is (0, 5/2).

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Fred Claims that the midpoint of AB connecting A(-2,5) and B(2,0) is (0,5).

The midpoint is not (0, 5)

Midpoint=(-2+2/2, 5+0/2)

=(0, 5/2)

Claim has just added the coordinates of y but not finded their average.

Hence, the midpoint of AB connecting A(-2,5) and B(2,0) is (0, 5/2).

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In organizations, supplier audit becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Hence, the correct answer is option c.

In the organizational purchase decision process, a supplier audit becomes more important compared to the consumer purchase decision process. This is because organizations need to ensure that the supplier they choose meets their standards for quality, reliability, and cost-effectiveness.

The supplier audit helps the organization to evaluate the supplier's capabilities and assess their ability to deliver on their promises.

Furthermore, since organizations often have deadlines and need to maintain quality control, a supplier audit is important for ensuring that the supplier is able to deliver the goods or services on time and to the required standard.

Since organizations anticipate a long-term relationship with their suppliers, a supplier audit helps to build trust and ensure that the supplier will be able to meet their needs for the long term.

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Answer:

b = 21.93

Step-by-step explanation:

This can be solved using Pythagorean theorem. Basically your hypotenuse or c is the length of the ladder, your base or a value is 12 and you're trying to find the height of the wall which is your b

[tex]a^2 + b^2 = c^2\\c^2 - a^2 = b^2\\(25)^2 - (12)^2 = b^2\\625 - 144 = b^2\\b= \sqrt{481} \\b = 21.93...\\b = 21.93[/tex]

Answer:

see below

Step-by-step explanation:

T+R =25.5

R-T=13.5

add them together

2R =39

R=19.5

T=6

Answer:

Step-by-step explanation:

Add 20 to both sides of the equation to get

9 >= x

Here is graph

The height of the cylinder with a volume of 1000 cubic centimeters is 1000/49π cm or 6.5 cm.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Given that;

Plug the given values into the above formula and solve for h.

V = π × r² × h

1000 = π × ( 7 )² × h

1000 = 49π × h

h = 1000 / 49π

h = 1000/49π cm or 6.5 cm

Therefore, the value of the height h is 1000/49π cm or 6.5 cm.

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None of the sequence of transformation not produce the same image

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A reflection across the x-axis, then a counter-clockwise rotation 90 degrees

The rule of reflection across the x-axis is:

(x, y)--->(x, -y)

The rule of 90 degrees counter-clockwise rotation is:

(x, y)--->(-y, x)

So, we have:

(x, -y)--->(y, x)

(x, y) and (y, x) are different.

Hence, this sequence of transformation does not produce the same image

Hence, none of the sequence of transformation not produce the same image

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Answer:

A, C, D

Explanation:

I just did the assignment on edge

"state the individual, variable, population, sample, parameter and statistic."

An individual refers to a single person in a larger group being studied. In this case, the individual is an adult in the United States.

A variable is a characteristic or attribute that can change or take on different values. In this case, the variable of interest is the favorability towards using marijuana for medical purposes.

The population is the entire group of individuals being studied. In this case, the population is all adults in the United States.

A sample is a smaller portion of the population selected to represent the larger group. In this case, a sample of 1433 adults in the U.S. was selected.

A parameter is a numerical characteristic of a population. It is a fixed value that summarizes the population. In this case, the parameter of interest is the proportion of the adult population in the U.S. who are in favor of using marijuana for medical purposes.

A statistic is a numerical characteristic of a sample. It is a calculated value that summarizes the sample. In this case, the statistic of interest is the proportion of the 1433 adults in the sample who were in favor of using marijuana for medical purposes, which was found to be 78%.

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the Sample variance is. [tex]$s^2[/tex]=41.4

Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.

Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.

the weights of 10 dogs in pounds 7,5,11,8,14,19,16,15,13,27

Sample size, [tex]$n=10$[/tex]

Sample mean

[tex]\begin{aligned}\bar{x}=\frac{\sum x}{n} & =\frac{7+5+11+8+14+19+16+15+13+27}{10} \\& =\frac{135}{10}=13.5\end{aligned}$$[/tex]

Sample Variance

[tex]\begin{aligned}& \begin{array}{r}\text { } \\\left(s^2\right)\end{array} \frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \\& =\frac{1}{10-1}\left[(7-13.5)^2+(5-13.5)^2+(11-13 \cdot 5)^2+(8-13.5)^2+(14-13 \cdot 5)^2+\right. \\& (19-13 \cdot 5)^2+(16-13 \cdot 5)^2+(15-13 \cdot 5)^2+(13-13 \cdot 5)^2+(27-13.5)^2 \\& =\frac{1}{9}[42.25+72.25+6.25+30.25+0.25+30.25+6.25+2.25+ \\& 0.25+182.25 \text { ] } \\& =\frac{1}{9}[372.5] \\& =41.38888889 \approx 41.4 \\&\end{aligned}[/tex]

Therefore, the Sample variance is. [tex]$s^2[/tex]=41.4

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Answer:

(-1 )

(-2 )

Here I can't merge the two brackets but you need to

Step-by-step explanation:

(-2+3) (-7+5) = (-1 -2) but it should be vertical and not horizontal

Answer:

v=<5,12>

Step-by-step explanation:

dot product warmup edge

The function q(x)=4(0.5)^{x}+3 has the same end behavior as x approaches infinity as the function graphed here. Option C is the correct option.

What is a function?

A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.

Given graph function tends to a constant (a positive constant) when x tends to infinity.

Option A:

m(x) = -(0.3)^x - 3. The sign of -(0.3)^x is negative. Thus when x tends to infinity then m(x) tends to be a negative number.

Option B:

p(x) = -2(2)^x + 3. The sign of -2(2)^x is negative. Thus when x tends to infinity then p(x) tends to be a negative number.

Option C:

q(x) = 4(0.5)^x + 3. The sign of 4(0.5)^x is positive. Thus when x tends to infinity then q(x) tends to be a positive number.

Option D:

n(x) = 2(3)^x - 3. The sign of 2(3)^x is positive. Thus when x tends to infinity then p(x) tends to be infinity.

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The difference difference between the tallest height of 4 2/4 and the shortest height of 4 1/4 is of:

1/4.

The heights are given as follows:

The difference between these heights is given by the subtraction of the tallest height by the shortest height, hence:

18/4 - 17/4 = 1/4.

The fractions have the same denominator, hence we just subtract the numerators.

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The measure best describes the typical route time is, Median. So option C is correct.

The middle number or piece of data in a collection is known as the median. Three alternative metrics are employed in mathematics to determine the average value for a given group of integers. They are the mode, median, and mean. The measures of central tendency are this trio of measurements.

Median = {(n+1)/2}th term (for odd)

Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)

The median is the middle value in a set of data, and is often used to describe the typical or central value in a dataset. Unlike the mean, which can be affected by extreme values, the median is not sensitive to outliers and provides a better representation of the typical value in the dataset.

For example, if the bus route times are listed in a frequency table, the median can be found by ordering the values and finding the middle value (or the average of the two middle values, if the number of observations is even).

In the context of driving a school bus, the median route time would give the most accurate representation of the typical time it takes to complete the daily route, and would provide a better indicator of the bus driver's performance than the mean or any other measures of central tendency.

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Step-by-step explanation:

Whenever you have brackets, you have to multiply the outside with all of the insides.

6 + 4x(3+4) = 6 + [ (4x×3) + (4x×4) ]

= 6 + [ 12x + 16x ]

= 6 + 28x

Answer: 6+28x

16% is the Percentage of individuals from this population who will have LDL level 1.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor.

one standard deviation 68% of data- -95% of data- -3 -2 -1 0

So we want a percentage of individuals with LDL level 1 or more sd above the mean.

So from the above graph, we basically want to know what percentage of the scores are to the right of 1 on the x-axis because we want a percentage of individuals with LDL level 1 or more sd above the mean.

Right of 0 on the x-axis we have 50% of the data.

So by simple calculations

Percentage = 50-34=16%

therefore, the Percentage of individuals from this population who will have LDL level 1  is 16%.

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An event that is impossible has a probability of 0.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The probability of an event that is impossible is 0. This means that there is no chance or likelihood of it occurring.

In probability, 0 represents the complete absence of any possibility of an event happening, while 1 represents a certain or guaranteed event.

All other values between 0 and 1 represent varying levels of uncertainty or likelihood.

Hence, An event that is impossible has a probability of 0.

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The dealer price of the sedan is, $12,556

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

In order for Carlton’s Car Dealership to make a profit, it must mark up the dealer price of cars by 14%.

And, After the increase, a new sedan at Carl’s Car Dealership is marked to sell for $14,600.

Now, We get;

The dealer price of the sedan is,

⇒ $14,600 - 14% of 14,600

⇒ $14,600 - 14/100 × 14,600

⇒ $14,600 - 14 × $146

⇒ $14,600 - $2,044

⇒ $12,556

Thus, The dealer price of the sedan = $12,556

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Answer:

B-1/2 MILE

Step-by-step explanation:

Drainage density is a measure of the frequency and spacing of stream channels within a drainage basin, expressed as the ratio of the total length of streams within a given area to the total area of the drainage basin.

Drainage density is used to quantify the efficiency of the drainage system in carrying water away from the land surface and helps in understanding the hydrological and geomorphological processes that shape the landscape.

Therefore, a measure of the frequency and spacing of stream channels within a drainage basin, expressed as the ratio of the total length of streams within a given area to the total area of the drainage basin is drainage density.

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Exchange on which a stock is traded, gender, and cell phone provider, are all considered nominal variables. These are options A, C, and D.

A type of categorical variable that can have two or more categories is called a nominal variable. Within these categories however, there is no ordering. A nominal variable doesn't have any numerical characteristics, and it is qualitative in nature. When a variable has a proper numerical ordering, it is then known as an ordinal variable.

A nominal variable can be coded although we can't perform arithmetic operations on them. This means that nominal variables can't be quantified.

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Only Square and Rhombus follows the given condition.

What are squares?

A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.

The most important properties of a square are listed below:

Area of square=(side)²

Perimeter of square=4*side

As we can see from given properties square follows given conditions

and for rhombus also all sides and angles are always equal.

Hence,

             Only Square and Rhombus follows the given condition.

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Answer:

Step-by-step explanation:

its a trick question put the first three in order.