How do the boxplots for distributions of varying shapes differ? For symmetrical distributions, the (1)________and the box is (2)______of the distribution. In a left-skewed distribution, the (3)_______ and the box is (4)______ of the distribution.

Answer:

3800 +/-10

Step-by-step explanation:

Answer:

q=7

Step-by-step explanation:

6+3q+4=31

10+3q=31

3q=31-10

3q=21

q=7

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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Therefore, 25.8 hours per employee each week is the mean number of hours worked.

The mean in mathematics is the average value among a group of numbers. It is calculated by adding up all of the set's numbers, then dividing the result by the total number of numbers in the set.

You may calculate the mean, for instance, if you have the set of numbers 2, 4, 6, and 8, by adding them all together and dividing by the total number of numbers:

(2 + 4 + 6 + 8) / 4 = 20 / 4 = 5

Consequently, 5 is the mean of these numbers.

In this instance, a store employed 5 workers for varying shifts. The list displays each individual's hours worked.

14 23 26 40 26

We add up all of these numbers and divide by the total number of numbers to determine the mean:

(14 + 23 + 26 + 40 + 26) / 5

= 129 / 5 mean of the numbers of hours worked by the employees = 25.8

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Answer:

10

Step-by-step explanation:

5×\(\frac{24}{12}\)

5×2

Answer:

24/12 or 2

Step-by-step explanation:

3 x 4 = 12

36 - 12 = 24

9 / 3 = 3

15 - 3 = 12

Simplify 24/12 into 2

i hope this is right

The probability that Aiden randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie is 0.0721

The distribution of the cookies is given as:

When he eats a cookie, the number of cookies reduces by 1

So, the required probability is:

P(Oatmeal and Chocolate) = Oatmeal/Total * Chocolate/Total - 1

This gives

P(Oatmeal and Chocolate) = 9/(9 + 8 + 8 + 9) * 9/(9 + 8 + 8 + 9 -1)

Evaluate

P(Oatmeal and Chocolate) = 0.0721

Hence, the probability is 0.0721

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Answer:

43

Step-by-step explanation:

multiply 4 x c(12)=48

then just plug it in and solve

82-48=34

34+9=43

Answer:

4

Step-by-step explanation:

If you replace x with 3 in the expression you will get an indefenite form (0/0)

So there two methods.

The easiest one is applying The hospital rule

Derivate the expression firsr but separatly.

● (x^2 -2x -3)' = 2x - 2

● (x-3)' = 1

When x tends to 3

Lim(x^2-2x-3/x-3) = lim (2x-2/1) = 6-2 = 4

The roots of the nominator are:

\( \frac{ 2 ( + - ) \sqrt{4 + 12}}{2} = \frac{ 2 ( + - ) 4}{2} = 3 \: and \: - 1\)

Which means that the nominator can be written as:

\( {x}^{2} - 2x - 3 = (x - 3)(x + 1)\)

Thus we compute the limit as shown below:

\(lim( \frac{ {x}^{2} - 2x - 3}{x - 3})(x - > 3) = lim( \frac{(x - 3)(x + 1)}{x - 3})(x - > 3) = lim( x + 1)(x - > 3) = 4\)

Answer:

  D  Numbers that can be written as fractions

Step-by-step explanation:

A rational number is one that can be written as a ratio: a fraction with integer numerator and denominator.

__

The term "decimal" as used here is sufficiently non-specific that we cannot seriously consider it to be part of a suitable answer. A terminating or repeating decimal will be a rational number. A non-terminating, non-repeating decimal will not be a rational number.

While integers and whole numbers are included in the set of rational numbers, by themselves, they do not constitute the best description of the set of rational numbers.

Answer:

3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)

--------------------------

  (x + 1)(ax² + bx + c)  

= ax³ + bx² + cx + ax² + bx + c

= ax³ + (a + b)x² + (b + c)x + c

--------------------------

ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d

=> a = 3

    a + b = -14

    b + c = -7

    c = d

=> a = 3, b = -17, c = 10, d = 10

Answer:

y = 29

Step-by-step explanation:

y = (3x)2 + 17

y = (3(2))2 + 17

y = (6)2 + 17

y = 12 + 17

y = 29

Answer:

proportional

Step-by-step explanation:

Answer: Yes it is proportional

Step-by-step explanation:

Answer:

x = -7 y=-23

Step-by-step explanation:

Since this equation must hold for all values of x, we can substitute x = i and x = -i to get two equations: 2A + 3i = -5i=> 2A - 3i = 5i=> A = -3/2Therefore, A is equal to -3/2.

A polynomial is a mathematical statement with coefficients and uncertainty that uses only additions, subtractions, multiplications, and powers of positive integer variables. There is just one indeterminate x polynomial identified by the formula x2 4x + 7. The term "polynomial" refers to an expression in mathematics that consists of variables (sometimes referred to as "indeterminates") and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression having variables and coefficients. Only addition, subtraction, multiplication, and non-negative integer exponents are permitted in expressions. The word for these expressions is polynomials.

To find A, we need to perform polynomial long division of P(x) by \(x^2 + 1\)and get the remainder equal to -5x.

          x

   --------------

\(x^2 + 1 | x^3 + 3x^2 - 2Ax + 3\)

         \(x^3 + 0x^2 + x\)

          --------------

               \(3x^2 - 2Ax\)

           \(3x^2 + 0x - 3i\)

                ------------

                    \(2Ax + 3i\)

                \(2Ax + 0x - 2iA\)

                       -----------

                        \(3i + 2iA\)

The remainder of the division is (2A + 3i) when the divisor is \(x^2 + 1\). We know that this remainder is equal to -5x, so we can set up the equation:

2A + 3i = -5x

Since this equation must hold for all values of x, we can substitute x = i and x = -i to get two equations:

2A + 3i = -5i

2A - 3i = 5i

A = -3/2

Therefore, A is equal to -3/2.

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Given:

The parent function is

\(f(x)=x^2\)

Consider the transformed function is g(x) instead of f(x) because both functions are different.

\(g(x)=-5(x-4)^2-8\)

Step-by-step explanation:

We have,

\(f(x)=x^2\)

\(g(x)=-5(x-4)^2-8\)

It can be written as

\(g(x)=-5f(x-4)-8\)            ...(i)

The translation is defined as

\(g(x)=kf(x+a)+b\)                .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

\(a=-4<0\), f(x) shifts 4 units right.

\(b=-8<0\), f(x) shifts 8 units down.

\(k=-5\), it is negative so f(x) reflected across the x-axis.

\(|k|=|-5|=5>1\), so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

Answer:

5.75 feet tall

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

\(-5 = \frac{1}{7}a\\-35 = a\)

I got this by multiplying the numerator by 7. This allows the denominator to be the same as the numerator, thus equalling 1.

1 * a = a

Answer: a = -35

Step-by-step explanation:

1. -5 = 1/7(a) || GIVEN

2. -5 * (7) = (7) * 1/7(a) || Isolate "a" on one side of the equation by multiplying 7 to the other side.

3. -35 = a

65°

Step-by-step explanation:

just have to rest 115° from 180°

The expected value of a random variable U, following a gamma distribution with parameters a and ß, is E[U] = a/ß. We start by acknowledging that the gamma distribution is defined as:

f(x) = (1/Γ(a)ß^a) * x^(a-1) * e^(-x/ß)

where x > 0, a > 0, and ß > 0. The expected value E[U] is given by:

E[U] = ∫[0,∞] x * f(x) dx

To calculate this integral, we can use the gamma function, Γ(a), which is defined as:

Γ(a) = ∫[0,∞] x^(a-1) * e^(-x) dx

Now, let's substitute the expression of f(x) into E[U] and evaluate the integral:

E[U] = ∫[0,∞] (x^a/ß) * x^(a-1) * e^(-x/ß) dx

     = (1/Γ(a)ß^a) * ∫[0,∞] x^(2a-1) * e^(-x/ß) dx

Using the property of the gamma function, we can rewrite the integral as:

E[U] = (1/Γ(a)ß^a) * Γ(2a)ß^(2a)

     = (Γ(2a)/Γ(a)) * ß^a * ß^a

     = (2a-1)! * ß^a * ß^a / (a-1)!

     = (2a-1)! / (a-1)! * ß^a * ß^a

     = (2a-1)! / (a-1)! * ß^(2a)

Note that (2a-1)! / (a-1)! is a constant term that does not depend on ß. Therefore, we can write:

E[U] = C * ß^(2a)

To make E[U] independent of ß, we must have ß^(2a) = 1, which implies that ß = 1. Thus, we obtain:

E[U] = C

Since the expected value is a constant, it is equal to a/ß when we choose ß = 1:

E[U] = a/ß = a/1 = a

Therefore, the expected value of a random variable U following a gamma distribution with parameters a and ß is E[U] = a.

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A random variable cannot be negative.

This statement is false.

A random variable can be either positive, negative, or zero.

A random variable is a mathematical representation of a number or object that is affected by random occurrences. It is a function or mapping between probable outcomes in a sample space to a measurable space, frequently to real values.

A random variable is a rule that assigns a number value to each outcome in a sample space, or it may be defined as an unknown variable or a function that assigns numerical values to each outcome of an experiment.

Random variables are classed as discrete or continuous. The key distinction between the two groups is the range of potential values for each variable.

The range of a random variable depends on the underlying probability distribution and the specific scenario being modelled.

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Step-by-step explanation:

3.3rd option

4.1st option

5.x=-10

6.x=6

7.109

8.75

9.24

10.19

Answer:

x=5+4

x=9

hope this helps

Answer:

215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left

Step-by-step explanation:

we have 5,814 meters of rope and we are told to calculate the number of 27 meters sections that we can cut:

you have to divide 5,814 meters by 27 meters = 215.333

that means that you have 215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left (0.333 x 27 = 9)

Answer:

3. x = 4.9

4. x = -1

Step-by-step explanation:

hope this helps :)

Answer:

For number (3) the answer is 4.9

For number (4) the answer is -1

Step-by-step explanation:

(3): 14.8=3x which is equal to 4.9

(4): 14=-14x which is equal to -1

Hope this helps

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The correlation between x and z would be a strong positive relationship when the correlation between x and y is 0.9 and the correlation between y and z is 0.9.

A correlation can be defined as statistical terminology which is used as a measure to indicate the relationship that exists between two or more variables.

This ultimately implies that, correlation can be used to statistically measure and predict the level of fluctuation between two or more variables in relation to one another.

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction because they are in tandem.

In this context, we can infer and logically deduce that the correlation between x and z would be a strong positive relationship when the correlation between x and y is 0.9 and the correlation between y and z is 0.9.

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