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Assoli18 [71]
3 years ago
10

How many times greater is The total area of Russia than the total area of Finland? Finland total area is 3.4 x 10 to the 5th pow

er km to the second power Russia 1.7 x 10 to the 7th power Km to the second power
Mathematics
1 answer:
Luden [163]3 years ago
6 0

Answer:

The answer to your question is Russia is 50 times greater than Finland.

Step-by-step explanation:

Data

Finland area = 3.4 x 10⁵ km²

Russia area = 1.7 x 10⁷ km²

Proportion = ?

Process

1.- Just divide the Russia's area by the Finland's area.

   Proportion = \frac{Finland's area}{Russia's area}

   Proportion = \frac{1.7 x 10^{7} }{3.4 x 10^{5} }

   Porportion = 50

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Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
2 years ago
Hi i am having trouble with this question can some one help me on it i heard this app really helps you understand question i mig
Evgen [1.6K]

Answer:

n = -1

Step-by-step explanation:

Guess your question is to find n

Given:

-6 + 3n = -9

-6 + 3n = -9

Add 6 to both sides

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3n = -3

Divide both sides by 3

n = -3 / 3

= -1

n = -1

Check:

-6 + 3n = -9

-6 + 3(-1) = -9

-6 - 3 = -9

- 9 = - 9

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3 years ago
Help me please it is literal equation
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Answer:

Step-by-step explanation:

s = n(a + 1)

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a = s/n - 1

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3 years ago
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