4. Emilio asks his classmates what month they were born. He finds that 15

Mathematics

1 answer:

svetlana [45]2 years ago

5 0

Answer:153

Step-by-step explanation:

From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.

If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:

= 3/25 × 1280

= 153.6

There will be 153 students expected

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5. If the number of employees is represented by x, which function represents the

Ganezh [65]

Consider the missing lines of question are "Due to the Enhanced Community Quarantine, Grand Royal Spa temporarily stopped its operation and to help the employees, the owner decided to split evenly its total revenue of 65,000.00".

Given:

Total revenue = 65000

Number of employees = x

To find:

The function which represents the amount each received.

Solution:

We know that,

$\text{Amount each received}=\dfrac{\text{Total revenue}}{\text{Number of employees}}$

Substitute the given values in the above formula.

$\text{Amount each received}=\dfrac{65000}{x}$

So, the function which represents the amount each received is

$f(x)=\dfrac{65000}{x}$

Therefore, the required function is $f(x)=\dfrac{65000}{x}$ .

Note: Given options are not correct and option C is incomplete.

4 0

2 years ago

Attached as photo. Please help

Effectus [21]

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a definite integral. Euler's method is a multi-step method, related to Runge-Kutta methods, used to estimate integral values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a) (1)

The steps of Euler's method are summarized below:

Define the function seen in the statement by the label f(x₀, y₀).
Determine the different variables by the following formulas:

xₙ₊₁ = xₙ + (n + 1) · Δx (2)
yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ) (3)
Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the numerical approximation of the definite integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the numerical approximate solution of the definite integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

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