Four groups of applicants in a call center, consisting of 15,20,10, and 18 individuals, reported the mean EQ scores of 140,85,95,100, respectively. Find the mean EQ score of all the applicants.

The values of n for the given expression such that -15< 3n < 6 is -5 < n < 2.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The given expression is:

-15< 3n < 6

Divide all the sides of the equation with 3 to isolate the value of n.

-15 / 3 < 3n/3 < 6/3

-5 < n < 2

Hence, the values of n for the given expression such that -15< 3n < 6 is -5 < n < 2.

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Answer:

$656.25

Step-by-step explanation:$18.75 per hour, and with that Mitchan worked 7 hours, so you times 7, and times 5 for the 5 days Mitchan worked

Answer:

1/5 cup of oil is left in the measuring cup

Step-by-step explanation:

4/5-3/5=1/5

4-3=1

In 2009, the Fish and Wildlife Service made a decision that meant that gray wolves would no longer be completely protected as  Gray wolves were taken off the federal endangered species list, so option B is correct.

The Wildlife Services program aims to provide Federal leadership and expertise to address wildlife interactions that endanger agricultural production, personal property, and natural resources in addition to public health and safety.

The primary duties of the U.S. Fish and Wildlife Services are to conserve endangered species, manage migratory bird populations, and restore wildlife habitat.

The Service published a final rule that exempts Wyoming-based northern Rockies gray wolves from the Endangered Species Act's protections. The Great Lakes region's gray wolf protections were also removed under the ruling.

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Answer: 17

Step-by-step explanation:)

Answer:

B

Step-by-step explanation:

they are parallel so it means none

Some common functions that may be used to represent the number of employees and the duration of a task include linear functions, exponential functions, and polynomial functions.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

A function represents a relation between two variables by defining a set of input values (the domain of the function) and a corresponding set of output values (the range of the function). The input values are usually represented by a single variable (such as x), and the output values are represented by a different variable (such as y).

It is not possible to accurately determine which function should be used to represent the number of employees and the number of days without more information about the task and the factors that may influence the number of employees and the duration of the task. There are many different functions that could potentially be used to model this type of data, depending on the specifics of the task and the relationships between the variables. Some common functions that may be used to represent the number of employees and the duration of a task include linear functions, exponential functions, and polynomial functions.

To determine the most appropriate function to use, you would need to consider factors such as the nature of the task, the resources available to complete the task, and any constraints or limitations that may affect the number of employees or the duration of the task.

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If f(x) has a constant term of -4 and h(x) has a constant term of 3, then g(0) is -3 ÷ 4.

It is an equation that is based on several input variables to determine the output based on the input variables.

The price of y apples will be $xy if the price of one apple is $x.

The result in this case is the overall cost, which is dependent on the variables x and y as previously demonstrated.

All of the equations are polynomial functions, hence linear exponents will be used to organize the variables and constants.

Then,

The constant term of f(x) is equal to -4, which is the term that is independent of all variables.

In mathematics, f(0) = 4.

The reason for this is that when x = 0, all of the variable terms disappear, leaving just the constant term.

H(x) has a constant term of 3, which is a term that is independent of all variables.

Mathematically,

h(0) = 3

h(x) = f(x) × g(x)

h(0) = f(0) × g(0)

3 = −4 × g(0)

g(0) = -3 ÷ 4

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The entrance fee in the water park for the adult $37 and for the child are $24.

The maximum power of a variable in a linear equation of two variables is one.

Now, for the question's given condition;

Let the cost for the adult is 'x'.

Let the cost for the child is 'y'.

The total cost for entrance fee is $220.

The group of 4 adults and 3 children costs 220.

4x + 3y = 220     ........equation 1

The group of 2 adults and 1 child costs $98.

2x + y = 98           .........equation 2

Use elimination method to solve the equations;

x = 37 and y = 24.

Therefore, the entrance fee in the water park for the adults is $37 and for the child us $24.

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Required surface area is 100 in² and volume is 60 in³of each solid to the nearest tenth.

What is the surface area and volume of cuboid ?

Surface area of a cuboid = \(2(lb + bh + lh)\)

and volume of a cuboid = \(lbh\)

Where,

\(l = \)Length of the cuboid

\(b = \)Breadth of the cuboid

\(h = \)Height of the cuboid

Given, figure is a cuboid and according to figure length of the figure is 5 in and breadth of the figure is 2 in and height of the figure is 6 in.

We want to find surface area and volume of the given figure.

Here,

\(l = 5 \: in \\ b = 2 \: in \\ h = 6 \: in\)

So, required surface area =

\(2(5 \times 2 + 2 \times 6 + 5 \times 6) \\ = 2(10 + 12 + 30) \\ = 2 \times 52 \\ = 104 \: {(in)}^{2} \)

and volume

\( = 5 \times 2\times 6 \\ = 60 \: ({in})^{3} \)

Therefore, surface area is 104 in²

and nearest 10th value of 104 is 100.

So, required surface area is 100 in²

and volume is 60 in³

Nearest 10th value of 60 is also 60.

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Exponential

The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.

His bank balance would follow the compound interest equation which is exponential.

= 400 × 1.08^t

where t is the number of years since the deposit

The final result of calling (sum '(1 (2 ( 5 () 6) 3 8))) is 23.

Here is the Scheme procedure that takes a list and returns the sum of numbers that are greater than 5 in the list:

scheme

(define (sum lst)

 (cond ((null? lst) 0)

       ((list? (car lst)) (+ (sum (car lst)) (sum (cdr lst))))

       ((> (car lst) 5) (+ (car lst) (sum (cdr lst))))

       (else (sum (cdr lst)))))

Let's manually trace this procedure with the provided example (sum '(1 (2 ( 5 () 6) 3 8))).

First, we call (sum '(1 (2 ( 5 () 6) 3 8))). Since lst is not null, we move to the next condition.

(car lst) is 1, which is not a list. So we move to the third condition.

1 is not greater than 5, so we move to the last condition and call (sum '((2 ( 5 () 6) 3 8))).

Again, lst is not null, so we move to the second condition.

(car lst) is a list, so we call (sum (car lst)). This means we will now evaluate (sum '(2 ( 5 () 6) 3 8)).

This time, (car lst) is 2, which is not a list. So we move to the third condition.

2 is not greater than 5, so we move to the last condition and call (sum '(( 5 () 6) 3 8))).

Once again, lst is not null, so we move to the second condition.

(car lst) is a list, so we call (sum (car lst)). This means we will now evaluate (sum '( 5 () 6)).

This time, (car lst) is 5, which is not a list. So we move to the third condition.

5 is equal to 5, so we move to the last condition and call (sum '(() 6)).

Now, lst is not null, so we move to the second condition.

(car lst) is an empty list, so we move to the last condition and call (sum '(6)).

Once again, lst is not null, so we move to the third condition.

6 is greater than 5, so we add it to the result of calling (sum '()), which is 0. This gives us 6.

Now, we have evaluated (sum '(6)), and we can return the result to the previous call, which was (sum '(() 6)). We add 6 to the result of calling (sum '())), which is 0, giving us 6.

We have now evaluated (sum '( 5 () 6)), and we can return the result to the previous call, which was (sum '((2 ( 5 () 6) 3 8)))). We add 5 to the result of calling (sum '(() 6 3 8)), which is 17, giving us 22.

We have now evaluated (sum '((2 ( 5 () 6) 3 8))), and we can return the result to the initial call, which was (sum '(1 (2 ( 5 () 6) 3 8))). We add 1 to the result of calling (sum '((2 ( 5 () 6) 3 8))), which is 22, giving us 23.

Therefore, the final result of calling (sum '(1 (2 ( 5 () 6) 3 8))) is 23.

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The solution to the trigonometric equation given in the task content is; π / 2.

Given; sin x − cos² x - 1 = 0 in the interval [0, 2π].

Recall; cos² x = 1 - sin² x

Therefore; sin x − 1 + sin² x - 1 = 0

sin² x + sin x - 2 = 0

Let, y = sin x;

y² + y - 2 = 0

y = -2 or y = 1

Therefore, the valid value of y is; y = 1.

Therefore; 1 = sin x

x = sin-¹ (1)

x = 90° = π/2.

Consequently, the one solution which represents the solution as required is; π / 2.

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Answer:

Each side of the Rhombus is 5 units

Step-by-step explanation:

Since the sides of a rhombus area all equal in length;

Then, the length of a side is enough to get the lengths of the other sides

Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus

We apply the distance formula appropriately to get the distance between the side of the Rhombus

D = √(x2-x1)^2 + (y2-y1)^2

let us use the points (-1,0) and (4,0)

D = √(4 + 1)^2 + (0-0)^2

D = √25

D = 5

As domain x approaches positive infinity, S(x) approaches positive infinity. Option B is correct.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Given expression for the attendance of the student is,
S(x) = (x - 50)² + 19

The end behavior of their graph is given as after x = 50 the graph starts heigh increasing gradient and it keeps increasing, till x =  infinity, as shown in the graph.

Thus, the curve of the given equation S(x) will increase from x = 50 to x = ∞ .

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Answer:

are you sure its a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by

+

or

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

the answer is on the picture

The three numbers that are chosen by Levi are 5, 9 and 10.

It should be noted that the factors of 20 are 1, 2, 4, 5, 10 and 20.

Possible sum of factors of 20 are: 3, 5, 6, 7, 9, 11, 12, 14, 15, 21, 22, and 24.

Difference between 24 and a possible sum of factors of 24 are:

(21, 19, 18, 17, 15, 13, 12, 10, 9, 3, 2 , 0.)

The square numbers less than 24 are ( 1, 4, 9, 16).

Therefore the square number is 9.

And sum of the factors of 20 is 24 -9 = 15.

Therefore, the factors of 20 are = 5 and 10

Thus the given numbers are 5, 9 and 10.

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Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Answer:

They aren't

Step-by-step explanation:

Answer:

Step-by-step explanation:

first you put an equal sign in between both of the expressions, then you find X which is 0

7x-4=6x-4

7x - 6x=4 - 4

x=0

Now change x in each expression into 0

7[0] - 4= -4

6[0] - 4= -4

This show us that both of the expressions are equal.

Answer:

D

Step-by-step explanation:

The critical points occur when the derivative of the function is equal to zero or undefined. The absolute maximum value of f(x) = ln(x)/x is approximately 0.3679.

Taking the derivative of f(x), we get:

f'(x) = (1/x)(1 - ln x)

Setting this equal to zero, we get:

1 - ln x = 0

ln x = 1

x = e

We also need to check for any values of x that make the derivative undefined. The derivative is undefined when x = 0.

Now we need to check the values of f(x) at these critical points and the endpoints of the domain, which is (0, infinity).

f(0) is undefined as ln 0 is undefined.

f(e) = (ln e)/e = 1/e

As x approaches infinity, f(x) approaches zero.

So the absolute maximum value of f(x) is 1/e, which occurs at x = e.

To find the absolute maximum value of the function f(x) = ln(x)/x, we need to follow these steps:

Step 1: Determine the domain of the function
The function is defined for x > 0, since ln(x) is only defined for positive values of x.

Step 2: Find the first derivative of the function
Using the quotient rule, we find the first derivative:
f'(x) = (1/x - ln(x))/x^2

Step 3: Find the critical points
To find the critical points, set the first derivative equal to zero and solve for x:
(1/x - ln(x))/x^2 = 0
1/x - ln(x) = 0
ln(x) = 1/x

Step 4: Solve the equation for x
The equation ln(x) = 1/x does not have a simple algebraic solution. However, using numerical methods (e.g. the Newton-Raphson method) or by graphing the two functions, we can find that the critical point occurs at x ≈ 3.591.

Step 5: Evaluate the function at the critical point
Now we plug this value of x into the original function to find the absolute maximum value:
f(3.591) ≈ ln(3.591)/3.591 ≈ 0.3679

Thus, the absolute maximum value of f(x) = ln(x)/x is approximately 0.3679.

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Answer:

9

Step-by-step explanation:

Answer:

what is the question and choices?

Step-by-step explanation:

then maybe I can help

Answer:

(f + g)(x) = x + 5

Explanation:

f(x) = 2x + 3

g(x) = 3x + 2

===========

Answer:

\((f+g)(x)=5x+5\)

Step-by-step explanation:

Given:

\(f(x)=2x+3\)

\(g(x)=3x+2\)

\(\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}\)

well im guessing it the average highway speed 60 mph so it is $7