All categories

3 years ago

The table shows the time it took a group of students to complete a puzzle

Mathematics

2 answers:

mash [69]3 years ago

8 0

Answer:

a. 17 b. 16/24

Step-by-step explanation:

Studentka2010 [4]3 years ago

5 0

Answer:

a. 17 b. 16/24

Step-by-step explanation:

a. Find the midpoints of each class interval which is:

7.5 x 2 = 15

12.5 x 9 = 112.5

17.5 x 5 = 87.5

22.5 x 5 = 112.5

27.5 x 3 = 82.5

Add all of these up to give 410

Add up the total of the frequency column which is 24

410 / 24 = 17.0833.....

Rounded to 2 significant figures, the answer is 17

b. Add together all the people under 20 which totals to 16 and put this over the total of 24 to give the fraction 16/24

You might be interested in

What expression can be used to determine the total cost of buying c pounds of cashews for $3.15

tester [92]

Answer:

A. 3.15c + 0.82f

Step-by-step explanation:

c pounds of cashews for $3.15 = 3.15c

f pounds of flour for $0.82 = 0.82f

then, the expression can be used to determine the total cost is:

A. 3.15c + 0.82f

5 0

2 years ago

What is the value of the expression: 2 - (3x + 5y) if x = -3 and y = 4?

WARRIOR [948]

<h3>Hello there today we will solve your problem</h3>

here is our equation,

$2-(3x+5y)$ ,

Now we will plug in our numbers

__________________

${\boxed{x=-3}}$
${\boxed{y=4}$

__________________

$2-(3\cdot-3+5\cdot4)$

simplify it and we get

$2-(-9+20)$

$2-11$

$-9$

7 0

2 years ago

Read 2 more answers

What ratios are equivalent to 4:1

tatuchka [14]

Answer:

12:3

Step-by-step explanation:

3 0

2 years ago

Help me w this problem please !!!

jeka94

Answer:

it depends in u

and I will be there at noon and I will get back to Live in the morning and I Challenge u Day my

3 0

2 years ago

Given P = x^0.3 y^0.7 is the chicken lay eggs production function, where P is the number of eggs lay, x is the number of workers

lora16 [44]

Answer:

Part A)

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

The daily operating cost decreases by about $143 per extra worker.

Step-by-step explanation:

We are given the equation:

$\displaystyle P=x^{\frac{3}{10}}y^{\frac{7}{10}}$

Where P is the number of eggs laid, x is the number of workers, and y is the daily operating budget (assuming in US dollars $).

We want to find dy/dx.

So, let’s find our equation in terms of x. We can raise both sides to 10/7. Hence:

$\displaystyle P^\frac{10}{7}=\Big(x^\frac{3}{10}y^\frac{7}{10}\Big)^\frac{10}{7}$

Simplify:

$\displaystyle P^\frac{10}{7}=x^\frac{3}{7}y$

Divide both sides by the x term to acquire:

$\displaystyle y=P^\frac{10}{7}x^{-\frac{3}{7}}$

Take the derivative of both sides with respect to x:

$\displaystyle \frac{dy}{dx}=\frac{d}{dx}\Big[P^\frac{10}{7}x^{-\frac{3}{7}}\Big]$

Apply power rule. Note that P is simply a constant. Hence:

$\displaystyle \frac{dy}{dx}=P^\frac{10}{7}(-\frac{3}{7})(x^{-\frac{10}{7}})$

Simplify. Hence, our derivative is:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}P^\frac{10}{7}x^{-\frac{10}{7}}$

Part B)

We want to evaluate the derivative when x is 30 and when y is $10,000.

First, we will need to find P. Our original equations tells us that:

$P=x^{0.3}y^{0.7}$

Hence, at x = 30 and at y = 10,000, P is:

$P=(30)^{0.3}(10000)^{0.7}$

Therefore, for our derivative, we will have:

$\displaystyle \frac{dy}{dx}=-\frac{3}{7}\Big(30^{0.3}(10000^{0.7})\Big)^\frac{10}{7}\Big(30^{-\frac{10}{7}}\Big)$

Use a calculator. So:

$\displaystyle \frac{dy}{dx}=-\frac{1000}{7}=-142.857142...\approx-143$

Our derivative is given by dy/dx. So, it represents the change in the daily operating cost over the change in the number of workers.

So, when there are 30 workers with a daily operating cost of $10,000 producing a total of about 1750 eggs, the daily operating cost decreases by about $143 per extra worker.

5 0

2 years ago