The median weekly gross income for someone with a bachelor's degree was $2,117.00. If they continued their education and training and earned a master's degree, they had an increase in their median weekly income of about 46.1%. Determine the median weekly income for someone with a master's degree.
$2,856.12
$3,092.94
$3,153.76
$2,908.45

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Step-by-step explanation:

the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.

that means together they have 180°.

180 = inner + outer = 48 + outer

outer = 132°

the exterior angle is 132°.

Answer:

160 pounds

Step-by-step explanation:

If she has 3 boxes and there's 40 more pounds than if she had one, that means each box is 20 pounds so multiply 20 by 8 and you get 160 pounds

The solution for x is -48, the answer is D) -48.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a value that can change based on the values assigned to the variables.

Starting with:

x:4 = 12

Multiplying both sides by -1 gives:

(-x÷4) = -12

Simplifying the left side:

x÷4 = -12

Multiplying both sides by 4 gives:

x = -48

Therefore, the solution for x is -48, the answer is D) -48.

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The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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Answer:

There is an outlier because she was injured and could not run.

Step-by-step explanation:

There are several reasons why Cassie wouldn't have been able to run on Sunday, but a potential reason is because she had a minor injury that took her one day to heal. Because of her taking this day off, it creates an outlier in our table.

Answer:

24 minutes

Step-by-step explanation:

1. Turn it into an equation.

60% of 40

2. Create a proportion.

x/40 = 60/100

3. Cross multiply

40 x 60 = 2400

x x 100 = 100x

4. Divide

2400/100x = 24x

The value of ∂x/∂s is  4s^2 * t^6.

To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):

f(x, y, z) = (x^2)(y^3) + z^3

Substituting x, y, and z:

f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3

Expanding the expression:

f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)

Now, let's differentiate x with respect to s:

∂x/∂s = ∂/∂s [(s^2)(t^3)]^2

Using the chain rule, we can differentiate each term separately:

∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]

Differentiating (s^2)(t^3) with respect to s:

∂/∂s [(s^2)(t^3)] = 2s * t^3

Substituting back into the expression for ∂x/∂s:

∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3

Simplifying:

∂x/∂s = 4s^2 * t^6

Therefore, ∂x/∂s = 4s^2 * t^6.

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Given:

Mike gets an 8% commission on the sporting goods that he sells.

One day he sold sporting goods worth 1,384.

To find:

The commission for that day.

Solution:

According to the given information,

Commission = 8% of total sales of sporting goods

One day he sold sporting goods worth 1,384. Then, the commission for that day is

\(\text{Commission}=\dfrac{8}{100}\times 1384\)

\(\text{Commission}=\dfrac{11072}{100}\)

\(\text{Commission}=110.72\)

Therefore, the commission for that day is 110.72.

Step-by-step explanation:

a probability is airways the ratio

desired cases / totally possible cases

2 questions, each with a true or false answer option.

that gives us

2 × 2 = 4 answer options in total (the totally possible cases).

but only one of the four combinations is completely right.

so, the probability is

1/4

the 4 possibilities are

true true

false false

true false

false true

formally we can get to the result that way :

the first question has 2 options.

the probabilty to get it right is therefore

1/2

the same for the second question

1/2

but both have to be right for the desired result (question 1 AND question 2 have to be right), so, we need to combine both individual probabilities :

1/2 × 1/2 = 1/4

Note that the probability of both questions being right by guessing is 0.25 or 1/4.

P (both correct) = P(correct on Q1 ) x p(correct on Q2)
=   0.5 x 0.5
= 0.25 or 1/4

Note that probability is simply the likelihood of something occurring. When we are uncertain about the result of an event, we might discuss the probabilities of several outcomes—how likely they are.

Statistics is the study of occurrences guided by probability.

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The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.

What is a function?

A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.

The domain of a function refers to the set of all possible input values for which the function can produce an output.

In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.

In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.

This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.

It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.

Therefore, the correct statement is A.

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Answer:

He can answer 2 questions in 6 minutes.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

Each minute, Zack solves 1/3 of a question. How many questions can he solve in 6 minutes?

1 minute - 1/3 questions

6 minutes - x questions

\(x = \frac{1}{3} \times 6 = 2\)

He can answer 2 questions in 6 minutes.

Answer:

Step-by-step explanation:

When an eagle gains the height, elevation of the eagle will be positive and when it goes down elevations will be negative.

Initial height of the eagle = 42 ft

Achieves the elevation = 144 ft

Goes down to 162 ft so the elevation will be = -162 ft

Gains the height again therefore, elevation of the eagle = 25 ft

Goes down to 65 feet so the elevation = -65 ft

Therefore, expression representing the eagle's flight will be,

(42 + 144 - 162 + 25 - 65)

Elevation at the brook = (42 + 144 - 162 + 25 - 65)

                                     = 20 ft

Answer: $9.50

Step-by-step explanation: $21-2=$19; $19÷2=$9.50

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

(84/18, 14/3). These are the same as 42/9

As the line segment GH bisects the angle FGI, we have two equal angles, angle FGH and angle IGH. Therefore, we have,

Thus, we have x = 7. Now,

Thus, x = 7, < FGH = 22,

Answer:

Shanice ran 42 miles.

Step-by-step explanation:

Answer:

Overall, the steps for algebraically finding the range of a function are:

1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

2.Find the domain of g(y), and this will be the range of f(x).

3.If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Answer:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

The relations in a right triangle are given as follows:

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

\(\sin{40^\circ} = \frac{b}{10}\)

\(b = 10 \times \sin{40^\circ}\)

Using a calculator:

\(b = 6.43\)

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Answer:

Height  = 5

Step-by-step explanation:

Answer:

The answer is \(15.00\) %

Step-by-step explanation:

Let's start defining the random variable. We have the following variable :

\(X:\) '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''

We assume that \(X\) follows the normal distribution. We can write :

\(X\) ~ N ( μ , σ )

Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :

\(X\) ~ \(N(2060;495)\)

In order to answer the question, we first must calculate the probability :

\(P(X>2575)\) (I)

We are going to calculate this probability by making a substitution. If we substract the mean to the variable \(X\) and then divide by the standard deviation, we obtain a new variable \(Z\) which can be modeled as a \(N(0;1)\). This is convenient because the cumulative distribution from \(Z\) is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :

[ (\(X\)-μ) / σ ] = \(Z\) ~ \(N(0;1)\) ⇒ If we apply this to the equation (I) ⇒

\(P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)\)

Then,

\(P(Z>1.04)=1-P(Z\leq 1.04)\) (II)

Looking in any cumulative distribution table of \(Z\) ⇒ \(P(Z\leq 1.04)=0.85\)

If we replace this value in (II) ⇒

\(P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15\)

Using percent we obtain \(15.00\) %

Answer:

The explicit equation is:

Explanation:

At the beginning, there was only one dot

Day One has 4 dots, and Day Two has 16 dots

Notice that the increase is geometric.

1 to 4 to 16

The common ratio is 4, because 4/1 = 16/4 = 4

So, we have

Where y represents the number of dots, and x is the day number.

Let y = f(x), and we have the explicit equation we require

To check

For x = 0 (At the beginning)

For x = 1 (Day One)

For x = 2 (Day Two)

Answer:

54 degrees

Step-by-step explanation:

Any angle subtended by the angle is twice the angle subtended by the same angle.

Or m<LMP =2m<LNM.

So m<LNM = 108/2 = 54 degrees.

Answer:

16 Soccer balls

68 T-shirts

Step-by-step explanation:

Given information:

Define the variables:

Create two equations from the given information:

\(\textsf{Equation 1}: \quad x + y = 84\)

\(\textsf{Equation 2}: \quad 25x+9.5y=1046\)

Rewrite Equation 1 to make y the subject:

\(\implies y=84-x\)

Substitute this into Equation 2 and solve for x:

\(\implies 25x+9.5(84-x)=1046\)

\(\implies 25x+798-9.5x=1046\)

\(\implies 15.5x+798=1046\)

\(\implies 15.5x=248\)

\(\implies x=16\)

Substitute the found value of x into the rewritten form of Equation 1 and solve for y:

\(\implies y=84-16\)

\(\implies y=68\)

Solution

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Answer:

38.5cm³

Step-by-step explanation:

1ml = 1cm³

38.5ml = 38.5cm³

Answer:

The solution is (3,2).

Step-by-step explanation:

When you are solving simultaneous equation using graphs, you have to look at their intersection point.

In this graph, both equations intersect at (3,2) so the solution will be (3,2).

Test,

x + y = 5

3 + 2 = 5

y - 2x = -4

2 - 2(3) = 4

2 - 6 = 4

Answer:

sixteen 250 millilitres

Step-by-step explanation:

250 millimetres = 1/4 litre

4 litres = 16 one-fourth litres

PLZ MARK AS BRAINLIEST

Answer:

16.25

65 x 0.25 = 16.25

If another type of question the total price would be 48.75 :)