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2 years ago

In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people

Mathematics

2 answers:

Aleksandr [31]2 years ago

7 0

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d) 1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

First identify the digit to be rounded.
If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a) to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place = 1,360,760,000

b) to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c) to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d) to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

yarga [219]2 years ago

6 0

Answer:

Step-by-step explanation:

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He is on floor 8 now

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2 years ago

Read 2 more answers

The Smiths bought new furniture that cost $3,298.00. The store offered them

ad-work [718]

Answer:

10.99%.

Step-by-step explanation:

We have been given that the Smiths bought new furniture that cost $3,298.00. The store offered them an option of putting $600 down and making equal payments of $300 a month for 10 months.

First of all, we will find amount paid by down-payments in 10 months.

$\$300\times 10=\$3,000$

Total amount paid by Smiths: $\$3,000+\$600=\$3,600$ .

Now we will find amount paid in interest by subtracting initial amount from total amount.

$\text{Amount paid in interest}=\$3,600-\$3,298$

$\text{Amount paid in interest}=\$302$

10 months = 10/12 year =5/6 year.

Now, we will use simple interest formula to solve for interest rate.

$I=Prt$

$\$302=\$3,298*r*\frac{5}{6}$

$\$302=r*\frac{\$16,490}{6}$

$\$302*\frac{6}{\$16,490}=r*\frac{\$16,490}{6}*\frac{6}{\$16,490}$

$\frac{1,812}{\$16,490}=r$

$r=\frac{1,812}{\$16,490}$

$r=0.1098847786$

$r=0.1098847786\times 100$

$r=10.98847786\%$

$r\approx 10.99\%$

Therefore, the annual interest rate is 10.99%.

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2 years ago

Find the sum of the first 63 terms of –19, -13, -7 …

boyakko [2]

The Given Sequence is an Arithmetic Sequence with First term = -19

⇒ a = -19

Second term is -13

We know that Common difference is Difference of second term and first term.

⇒ Common Difference (d) = -13 + 19 = 6

We know that Sum of n terms is given by : $S_n = \frac{n}{2}(2a + (n - 1)d)$

Given n = 63 and we found a = -19 and d = 6

$\implies S_6_3 = \frac{63}{2}(2(-19) + (63 - 1)6)$

$\implies S_6_3 = \frac{63}{2}(-38 + (62)6)$

$\implies S_6_3 = \frac{63}{2}(-38 + 372)$

$\implies S_6_3 = \frac{63}{2}(334)$

$\implies S_6_3 = {63}(167) = 10521$

The Sum of First 63 terms is 10521

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2 years ago

(5.81*10^-3)*(8.7*10^10) in scientific notation

GalinKa [24]

5.0547x10^8
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2 years ago

Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the

HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

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2 years ago