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3 years ago

If the mean of the data set is 7 raisins, find the number of raisins in each scoop of Great4U.

Mathematics

2 answers:

Flura [38]3 years ago

8 0

Answer:

5 raisins

Step-by-step explanation:

Khan Academy

Bingel [31]3 years ago

5 0

Step-by-step explanation:

The mean is given as 7. That is the only information given, and it is not enough to determine the number of raisin in each scoop.

Suppose the total number of raisins was given, then the total number of raisins is easily given as (total number of raisins) ÷ (mean)

= (total number of raisins) ÷ 7

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10. The sides of a number cube have the numbers 9, 3, 5, 3, 7, and 9. If the

ddd [48]

Answer:

1/3 or 33.333333333%

Step-by-step explanation:

Two 9's

Six number possible

2/6= 1/3

Probability:

1/3 or 33.33333333%

3 0

3 years ago

Read 2 more answers

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

Does the function model exponential growth or decay f(x)=3*(7/4)^x

Lubov Fominskaja [6]

Answer:

Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

3 0

3 years ago

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Using appropriate properties find: 2/3 × 3/4 + 3/7 × 3/4

Viktor [21]

Answer:

$\frac{23}{28}$