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3 years ago

Fraction decimals and percents

Mathematics

2 answers:

AleksandrR [38]3 years ago

4 0

Answer:

$\frac{11}{25}$ (as a fraction), 0.44 (as a decimal), or 44% (as a percent)

Step-by-step explanation:

Find the total squares. (100)

Find the filled squares. (44)

Divide the filled squares by the total squares. (44 ÷ 100)

Convert to fraction. ( $\frac{44}{100}$ )

Simplify ( $\frac{11}{25}$ )

Answer: $\frac{11}{25}$ or 0.44 or 44%

To convert to a decimal, divide 11 by 25. To convert to a percent (%) divide 11 by 25 and multiply by 100.

nataly862011 [7]3 years ago

3 0

Answer:

Fraction: 44/100 or 22/50 or 11/25

Decimal: 0.44

Percent: 44%

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What is the difference between DEPENDENT and INDEPENDENT probability?

ira [324]

Answer:

an independant variable dosent depend on any thing and a dependant variable depends on

if you rode a paddle boat for 30 min it cost 10 dollars

the 30 min is the independant variable and the 10 dollars is the dependant variable bc if u wanted to ride for longer than 30min you will have to pay more money therefore the cost depends on the time and time is independent bc the dosent depend on anything

3 0

3 years ago

Custom Office makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive

Ivan

Answer:

(a) The average cost function is $\bar{C}(x)=95+\frac{230000}{x}$

(b) The marginal average cost function is $\bar{C}'(x)=-\frac{230000}{x^2}$

(c) The average cost approaches to 95 if the production level is very high.

Step-by-step explanation:

(a) Suppose $C(x)$ is a total cost function. Then the average cost function, denoted by $\bar{C}(x)$ , is

$\frac{C(x)}{x}$

We know that the total cost for making x units of their Senior Executive model is given by the function

$C(x) = 95x + 230000$

The average cost function is

$\bar{C}(x)=\frac{C(x)}{x}=\frac{95x + 230000}{x} \\\bar{C}(x)=95+\frac{230000}{x}$

(b) The derivative $\bar{C}'(x)$ of the average cost function, called the marginal average cost function, measures the rate of change of the average cost function with respect to the number of units produced.

The marginal average cost function is

$\bar{C}'(x)=\frac{d}{dx}\left(95+\frac{230000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g\\\\\frac{d}{dx}\left(95\right)+\frac{d}{dx}\left(\frac{230000}{x}\right)\\\\\bar{C}'(x)=-\frac{230000}{x^2}$

(c) The average cost approaches to 95 if the production level is very high.

$\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})\\\\\lim _{x\to a}\left[f\left(x\right)\pm g\left(x\right)\right]=\lim _{x\to a}f\left(x\right)\pm \lim _{x\to a}g\left(x\right)\\\\=\lim _{x\to \infty \:}\left(95\right)+\lim _{x\to \infty \:}\left(\frac{230000}{x}\right)\\\\\lim _{x\to a}c=c\\\lim _{x\to \infty \:}\left(95\right)=95\\\\\mathrm{Apply\:Infinity\:Property:}\:\lim _{x\to \infty }\left(\frac{c}{x^a}\right)=0\\\lim_{x \to \infty} (\frac{230000}{x} )=0$

$\lim_{x \to \infty} (\bar{C}(x))=\lim_{x \to \infty} (95+\frac{230000}{x})= 95$

6 0

3 years ago

Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the dif

Orlov [11]

Answer:

n= p1+q1×p2 4pq

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5 0

3 years ago

What value of "p" will the pair of equations

Nikolay [14]

Answer:

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

3 0

3 years ago

Which of the following equations describes the line shown

wariber [46]

(-4,4) (2,1)
gradient = (1-4)/(2--4) = -1/2
y = mx + c
y = -1/2x + c
Replace point (2,1) in the equation
1=-1/2(2) +c
c = 2
Equation : y = -1/2x + 2
y-2 = -1/2x
Answer is C.
Hope it helped!

6 0

4 years ago