What is the standard deviation of 98.21

Answers

Answer 1
Answer:

Answer: 0.61

Step-by-step explanation:

Answer 2
Answer: 38.5 hope this helps :)))))

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On a coordinate plane, the x-axis is labeled Number of Days and the y-axis is labeled Number of Computers. A line goes through points (3, 36), (4, 48), (5, 60). The graph shows a proportional relationship between the number of computers produced at a factory per day. In three days, 36 computers are produced; 48 computers are produced in 4 days; and 60 computers are produced in 5 days. Find the unit rate of computers per day using the graph. Unit rate: computers per day

Answers

The unit rate of computers per day is equal to 12 computers per day.

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

  • y represents the y-variable or total cost​.
  • x represents the x-variable or number of computers.
  • k is the constant of proportionality.

Next, we would determine the unit rate or constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 36/3 = 48/4 = 60/5

Constant of proportionality, k = 12.

Therefore, the required linear equation is given by;

y = kx

y = 12x

Read more on proportional relationship here: brainly.com/question/28350476

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A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant.(a) Find the elasticity.
(b) Find the elasticity when x = 2.
(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

Answers

Answer: a) E(x)=(-5945)/((30x+11)(5x+200)), b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

D(x)=(5x+200)/(30+11)

So, derivative w.r.t x would be

D'(x)=(5(30x+11)-30(5x+200))/((30x+11)^2)\n\nD'(x)=(150x+55-150x-6000)/((30x+11)^2)\n\nD'(x)=(5945)/((30x+11)^2)

As we know that

E(x)=(-xD'(x))/(D(x))\n\n\nE(x)=((-(-)5945x)/((30x+11)^2))/((5x+200)/(30x+11))\n\n\nE(x)=(5945x)/((30x+11)(5x+200))

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

E(2)=(5945* 2)/((30(2)+11)((5(2)+200)))\n\nE(2)=(11890)/((60+11)(10+200))\n\nE(2)=(11890)/(71* 210)\n\nE(2)=(11890)/(14910)\n\nE(2)=0.7975

Since, 0.7975 < 1, so the demand is inelastic.

(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

The total revenue will also increase with increase in price.

As total revenue = price* quantity

Hence, a) E(x)=(-5945)/((30x+11)(5x+200)), b) 0.7975, demand is inelastic, c) increase.

Final answer:

This problem involves the calculation of the elasticity of a demand function using the derivative of the function. The elasticity is then used to analyze the effect on the total revenue when the price changes. The elasticity at a specific point is calculated and used for further analysis.

Explanation:

For part (a), to find the elasticity of the demand function, we need to use the formula for the price elasticity of demand, which is E = (dQ/dX) * (X/Q). Here, dQ/dX is the derivative of the demand function concerning X. This needs to be calculated first. The value of E provides us with the measure of elasticity.

For part (b), when x = 2 we substitute this value into the formula for E to get the elasticity at x = 2.

For part (c), based on the concept of elasticity, if E > 1, the demand is said to be elastic and a price decrease will result in an increase in total revenue, and vice versa. If E < 1, the demand is said to be inelastic and a price decrease will result in a decrease in total revenue, and vice versa. So, after calculating E at x = 2, we can use it to determine the effect on total revenue.

Learn more about Elasticity of Demand here:

brainly.com/question/31293339

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HELPPPPPP ASAPPPPPPPPP!!!!!!!!!!

Answers

1877m/min
Just multiple the Miles by the meters, then divide by 60

A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?

Answers

Answer:

it's .5 or 1/2

Step-by-step explanation:

3/8 ÷ 3/4 = 1/2

zoe has earned 650$ during the four weeks she worked at the rec center. the first 2 weeks she earned 220$ and 98$. the last 2 weeks she earned the same amount. how much money did zoe earn in the last 2 weeks

Answers

Answer:

The wording of this question was really confusing, but I believe the answer is 166 dollars.

Step-by-step explanation:

$220+ $98= $318

650-318=332

332/2=166

A high school soccer goalie blocked the ball from going into the goal 4 out of 5 times if the ball was kicked toward the goal 40 times how many blocks did the goalie make ​

Answers

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32