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The answer choice which is most appropriate to describe the center of the data as represented is; Median.

It follows from the task content that the stemans leaf plot shown in the task content is such that;

It contains outliers such as 5.1 and 4.2 and hence, the median best appropriates the central of the data distribution as it is minimally influenced by the extremes of data.

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Answer:

t = 13

Step-by-step explanation:

Solve for t

[tex]-6(t-12)=-6[/tex]

Simplify

[tex]-6(t+-12)=-6[/tex]

Distribute -6

[tex]-6t+72=-6[/tex]

Subtract 72 on both sides

[tex]-6t=-78[/tex]

Divide by -6

[tex]t=13[/tex]

If the start time is at 3:25 pm and 6 hours and 35 minutes elapse, then the finishing time will be 10:00 p.m.

To find the finishing time, you can add the elapsed time to the starting time. The main data provided by the problem are as follows:

First, what we need to do is to add up the minutes:
25 minutes + 35 minutes = 60 minutes (or 1 hour)

Then, add the hours:
3 hours + 6 hours + 1 hour (from the minutes) = 10 hours

In conclusion, , the finishing time is 10:00 p.m.

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The value of the constant k is 12.

By Vieta's formulas, the sum of the roots of a quadratic equation ax^2 + bx + c = 0 is -b/a, and the product of the roots is c/a. Therefore, we have:

m + (m-1) = 7 (sum of the roots)

m(m-1) = k (product of the roots)

Expanding the first equation, we get:

2m - 1 = 7

Solving for m, we get:

m = 4

Substituting m = 4 into the second equation, we get:

4(4-1) = k

Simplifying, we get:

12 = k

Therefore, the constant k is equal to 12.

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Answer:

Step-by-step explanation:

The statement "x = y² - 9" is not a function because for some values of y, there are multiple corresponding values of x.

A relation between a set of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

Now in the given question ,

In particular, when y = 3, there are two possible values of x (x = 0 and x = 6), so (3, 0) and (3, 6) are two points on the graph of this equation. This violates the definition of a function, which states that for each input (in this case, y), there can only be one output (x). The other statements are not relevant to determining whether the equation is a function.

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Answer:

Yes, 23 is a prime number, because its only factors are 1 and itself.

Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.

To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.

The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Answer: 152

Step-by-step explanation:

Length: f(x) = x+5

Width: g(x) = 7x-2

Area: A= f(x) *g(x)

A= (x+5)(7x-2)

= 7x^2 -2x + 35x -10

= 7x^2 +33x -10 // Substitute 3 in for x

=7(3)^2 +33(3) -10

=7(9) +99 -10

=63+99-10

=152

Answer:

152

Step-by-step explanation:

took the test xx

The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Using the exponential function[tex]A(t) = 234(2.55)^t-[/tex]

There were approximately 1522 public electric charging units available in 2007.

There were approximately 9894 public electric charging units available in 2009.

There were approximately 25230 public electric charging units available in 2010.

The formula for an exponential function is [tex]f(x) = a^x,[/tex]where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The exponential function is [tex]A(t) = 234(2.55)^t.[/tex]

Use the formula [tex]A(t) = 234(2.55)^t[/tex] to find the number of public electric charging units available for hybrid vehicles in a given year.

To find the number of outlets available in 2007, substitute t = 2 (since 2007 is two years after 2005) into the formula -

[tex]A(2) = 234(2.55)^2[/tex]

A(2) = 234(6.5025)

A(2) ≈ 1521.59

Therefore, the number of electric vehicles is 1522.

To find the number of outlets available in 2009, substitute t = 4 (since 2009 is four years after 2005) into the formula -

[tex]A(4) = 234(2.55)^4[/tex]

A(4) = 234(42.2825062)

A(4) ≈ 9894.10

Therefore, the number of electric vehicles is 9894.

To find the number of outlets available in 2010, substitute t = 5 (since 2010 is five years after 2005) into the formula -

[tex]A(5) = 234(2.55)^5[/tex]

A(5) = 234(107.820391)

A(5) ≈ 25229.97

Therefore, the number of electric vehicles is 25230.

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The probability that he would have done at least this well if he had no ESP is approximately 2.4%. This can be calculated by determining the probability of getting 22 or more of 30 coin flips correct by chance, which is 0.024.

The probability of getting 23 or more of 30 coin flips correct by chance is 0.0048. The probability of getting 24 or more of 30 coin flips correct by chance is 0.0008. The probability of getting 25 or more of 30 coin flips correct by chance is 0.00012. The probability of getting 26 or more of 30 coin flips correct by chance is 0.000016. The probability of getting 27 or more of 30 coin flips correct by chance is 0.000002. The probability of getting 28 or more of 30 coin flips correct by chance is 0.00000003. The probability of getting 29 or more of 30 coin flips correct by chance is 0.000000004. The probability of getting 30 of 30 coin flips correct by chance is 0.00000000003.

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There are 9 employees at the smaller location and 12 employees at the larger location.

Let's use the following variables:

Let x be the number of employees at the smaller location.

Let y be the number of employees at the larger location.

We know that the total number of employees is 21, so we can write:

x + y = 21

We also know that "four times the number of employees at the larger location is six less than six times the number of employees at the smaller location". In other words, we can write:

4y = 6x - 6

Simplifying this equation, we get:

2y = 3x - 3

We now have a system of two equations with two variables:

x + y = 21

2y = 3x - 3

We can solve this system using substitution or elimination. Here, we'll use substitution method:

From the second equation, we can solve for x in terms of y:

2y = 3x - 3

3x = 2y + 3

x = (2/3)y + 1

We can now substitute this expression for x into the first equation:

x + y = 21

(2/3)y + 1 + y = 21

(5/3)y = 20

y = (3/5) × 20

y = 12

Substitute y = 12 back into x + y = 21, we get:

x + 12 = 21

x = 9

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Points for Elephant powerful. When we remove the point for elephant, the slope line will drop, and we shouldn't just keep eliminating animals.

a) The link between gestation lengths and life expectancies would seem larger if the point for elephants in the scatterplot's upper right corner were removed. This is due to the elephant data point's status as an outlier, which means that it differs significantly from the scatterplot's other points and can significantly affect the regression line.

b) If the elephant point is eliminated, the slope of the line will decrease. This is due to the elephant point's long gestation time and long life span, which contribute to the regression line's greater slope.

c) No, we shouldn't keep eliminating creatures to make the model more robust. While the strength of the link between the variables can be strengthened by deleting outliers like the elephant point, it's critical to remember that each data point reflects a genuine observation.

d) Elephants undoubtedly had some influence. The elephant point had a considerable impact on the link between gestation times and life expectancies, as shown by the fact that deleting it resulted in a reduction in the slope of the regression line.

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To convert between pounds and kilogrammes, multiply the number of pounds by 0.45359237, and to do the opposite, multiply the number of kilogrammes by 2.20462.

So, the value of 60 kg is equal to 132.2772 lbs.

The fundamental mass unit in the metric system is the kilogramme (kg). A kilogramme and 1,000 cubic centimetres of water have fairly similar masses.

One pound is approximately equal to 454 grams. One kilogram is the same as 2.20462 lbs.

One pound is equal to 0.45359237 kilograms.

To convert kilograms (kg) to pounds (lbs), you can use the following formula:

To convert kilograms to pounds, multiply your figure by 2.20462

To convert 60 kg to lbs, you can multiply 60 by 2.20462:

60 kg X 2.20462 lbs/kg

= 132.2772 lbs

Therefore, 60 kg is approximately equal to 132.2772 lbs.

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Answer: 2.4

Step-by-step explanation: just use a calculator???

Answer:

2.4

Explanation:

15 members of the club voted in the election.

To find out how many members voted, we can start by calculating 30% of the total number of club members:

30% of 50 = (30/100) * 50 = 15

So 15 members of the club voted in the election.

Based on the given conditions, formulate:

Reduce the fraction: (30/100)

Multiply a number to both the numerator and the denominator:

(30/100) * 50

Write as a single fraction: 0.3 * 50

Calculate the product or quotient: 15

Rewrite a fraction with denominator equals 100 to a percentage:

Answer: 15

The French club held elections to elect new board members. 50 club members, or 30% of them, cast ballots. So, 15 members casted the most votes.

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The proportional relationship that represents the cost of x hours at Wilma's Drop-off Child Care service is given as follows:

y = 7.5x.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

From the graph, we have that when x = 4, y = 30, hence the constant is obtained as follows:

4k = 30

k = 30/4

k = 7.5.

Then the equation is defined as follows:

y = 7.5x.

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The  set of quantum numbers that represents each electron in a ground‑state be atom are option (1) n = 1, l = 0, ml = –1, ms = 1/2 and option (2) n = 2, l = 0, ml = 0, ms = –1.

Quantum numbers are used in quantum mechanics to describe the position of an electron in an atom. Each electron has four quantum numbers associated with it: n, l, ml, and ms. The set of quantum numbers that describes each electron in a ground-state Be atom is given below.

For the first electron, the set of quantum numbers is n = 1, l = 0, ml = –1, ms = 1/2. This set of quantum numbers indicates that the electron is in the 1s orbital, with an azimuthal quantum number of 0, a magnetic quantum number of –1, and a spin quantum number of 1/2.

For the second electron, the set of quantum numbers is n = 2, l = 0, ml = 0, ms = –1.

This set of quantum numbers indicates that the electron is in the 2s orbital, with an azimuthal quantum number of 0, a magnetic quantum number of 0, and a spin quantum number of –1.

Therefore, option (1) and (2) are right one.

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Answer:

see explanation

Step-by-step explanation:

One method of solution is given below

x² + 5 = 86 ( subtract 5 from both sides )

x² = 81 ( take the square root of both sides )

x = ± [tex]\sqrt{81}[/tex] = ± 9

To solve the equation x^2 + 5 = 86, we need to isolate the variable x on one side of the equation. We can do this by performing the opposite operations on each side of the equation.

   Subtract 5 from both sides of the equation:

   x^2 = 81

   Take the square root of both sides of the equation:

   x = ±9

Therefore, the solutions to the equation x^2 + 5 = 86 are x = 9 and x = -9.

Answer:

The answer is 50, the median. The median is the value where 50% of the data lie above and below.

$300 is expected to be paid to the insurance company each month for coverage.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.

here, we have,

Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.

So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.

Hence, $300 is the correct answer.

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Answer: 279.94

Step-by-step explanation:

Expected value =

(0.0002)(-100,000) + (0.9998) (300)

1-.0002 = 0.9998

= .279.94

If the sum of their ages is 60, Bao's age is 18.

To find Bao's age, we need to use the information given in the question about the ages of the siblings and the sum of their ages. Let's start by assigning a variable to represent the youngest sibling's age. We'll call this x.

Since the ages are consecutive even integers, we know that the next sibling's age is x + 2, the third sibling's age is x + 4, and Bao's age is x + 6.

Now we can use the information about the sum of their ages to create an equation:

x + (x + 2) + (x + 4) + (x + 6) = 60

Simplifying this equation gives us: 4x + 12 = 60

Subtracting 12 from both sides gives us:

4x = 48

And finally, dividing by 4 gives us:

x = 12

So the youngest sibling is 12 years old. To find Bao's age, we need to add 6 to this value: 12 + 6 = 18

Therefore, Bao's age is 18.

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Calculator with inverse tangent is a calculator with  four basic arithmetic operations and variety of functions such as logarithms, exponents, trigonometric functions etc.

A calculator with inverse tangent, commonly known as a scientific calculator, is a type of electronic calculator designed to perform mathematical calculations beyond basic arithmetic. In addition to the four basic arithmetic operations (addition, subtraction, multiplication, and division), it includes a variety of functions such as logarithms, exponents, trigonometric functions (sine, cosine, tangent), and their inverse functions (arcsine, arccosine, and arctangent).

The inverse tangent function, also known as arctangent, is one of the trigonometric functions that is commonly included in scientific calculators. It is used to determine the angle between the x-axis and a line drawn between the origin and a point on the graph of a function. In other words, it helps to find the angle whose tangent is a given number.

To use the inverse tangent function on a calculator, you will typically need to press the "tan^-1" or "arctan" button, followed by the number you want to find the arctangent of. The calculator will then display the angle in radians or degrees, depending on the mode it is set to.

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As per the conversion factor, 56 kg is equal to approximately 123.5 pounds.

One common unit of measurement for weight is kilograms (kg), while another commonly used in the United States is pounds (lbs).

To convert 56 kg to pounds, we need to use a conversion factor. One kilogram is equal to 2.20462 pounds. Therefore, we can multiply 56 kg by 2.20462 to find the equivalent weight in pounds.

56 kg x 2.20462 lbs/kg = 123.45952 lbs

Therefore, the solution is approximately 123.5 lbs

Additionally, it's essential to understand the context in which the measurement is being used and any limitations or uncertainties that may exist.

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The quadratic function will be x²+ 2x,Carolina will need to have at least 272 square feet available in her yard.

A quadratic function is a polynomial function of degree two, which means it is a function that can be expressed as an equation with the second-degree degree of the highest exponent of the unknown variable. It is typically expressed as ax² + bx + c, where a, b and c are constants, and x is an unknown variable. Quadratic functions can be used to model many real-world situations, such as the height of a projectile in motion or the area of a circle.

a. The area of the pool and the deck can be represented by a quadratic function, A = f(x) = x² + 2x, where x is the width of the pool in feet.

b. For the 16-ft wide pool, the area of the pool and the deck will be A = f(16) = 16² + 2(16) = 272 ft². Therefore, Carolina will need to have at least 272 square feet available in her yard.

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The simplified form of the expression is -7/14, which is option C.

A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:

4/14 - 11/14 = (4 - 11)/14 = -7/14

Hence, the simplified form of the expression is -7/14, which is option C.

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The most widespread use of the f - distribution is to test for equality of variances from two normal populations.

In probability theory and statistics, the Fisher - Snedecor distribution is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance and other F-tests

Given is the f - distribution.

The f - distribution is commonly used in hypothesis testing and analysis of variance (ANOVA). In hypothesis testing, the f - distribution is often used to compare the variability of two population samples or to determine whether two population variances are equal.

Therefore, the most widespread use of the f - distribution is to test for equality of variances from two normal populations.

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Answer:

3 times greater

Step-by-step explanation:

To find out how many times greater the population of Chicago is than Austin, we can divide the population of Chicago by the population of Austin:

Population of Chicago / Population of Austin = 2,720,546 / 900,000

Simplifying the expression by dividing both the numerator and denominator by 100,000, we get:

Population of Chicago / Population of Austin = 27.20546 / 9

Dividing these numbers, we get:

Population of Chicago / Population of Austin = 3.022838

Therefore, the population of Chicago is about 3 times greater than the population of Austin.

Answer:

The scale factor of the book to its shadow is 2/3 or 66.67%

Step-by-step explanation:

Shadow (cm):  18 x 12

Book (cm)     :  12 x 8

We want the scale factor of the book (12x8) to the shadow (18x12).

We can write each dimension ratio (book/shadow) as:

     12/18 and 8/12

       2/3  and  2/3

The scale factor is 2/3 or 66.67%