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Rainbow [258]
3 years ago
8

· Check Your Understandin

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

10

Step-by-step explanation:

the absolute value of a number is the distance from 0

the answer will ALWAYS be positive ;)

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Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
Lilit [14]

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

6 0
2 years ago
Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heigh
monitta

The standard error of the estimate of average height in the city is 0.25.

Given average height 64 inches, sample mean and sample standard deviation of 4 inches.

We have to determine the standard error of the estimate of the average height in the city.

Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.

n=256

μ=mean

s = sample standard deviation

Standard error=s/\sqrt{n}

=4/\sqrt{256}

=4/16

=0.25

Hence the standard error of the estimate of the average height is 0.25.

Learn more about standard error at brainly.com/question/1191244

#SPJ4

5 0
2 years ago
Lisa is assembling fruit baskets for a large corporate order. She starts with 66 pears and will put 5 pears in each fruit basket
denis23 [38]

Answer:

12 fruit baskets

Step-by-step explanation:

66 / 5 = ?

66 / 5 = 13.2

13.2 - 5 = 12

(12)

5 0
3 years ago
Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*
Kitty [74]

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

3 0
2 years ago
I will give brainlist
Aleks [24]

Answer:

it's either a or b

Step-by-step explanation:

sorry sorry thats all I know

6 0
3 years ago
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