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tresset_1 [31]
3 years ago
7

The value of each variable

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0
This is a simple Pythagorean Theorem problem. 7 is the hypotenuse so you would do c^2-a^2=b^2. In this case 7^2-2^2=b^2. 7^2 is 49 and 2^2 is 4 so you have 49-4=b^2. 49-4 is 45. The square root of 45 is 6.70. So x=6.70
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The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to
ipn [44]

Answer:

the annual growth rate is 15.47 %

Step-by-step explanation:

Given the data in the question;

Internet users grew from 25.8 million to 70.6 million,

from the year 2009 to the year 2016.

Using geometric mean, Annual growth rate = ?

To determine the average growth rate of a time series using geometric mean, we use the following formula;

r_{geo = [ ( Xₙ / X₀ )^{\frac{1}{n} ] - 1

where Xₙ is the data value of the last year { 70.6 million }

X₀ is the data value for the first year { 25.8 million }

n is the sample size or the time difference, ( 2016 - 2009 = 7 )

so we substitute;

r_{geo =  [ ( 70.6 / 25.8  )^{\frac{1}{7} ] - 1

r_{geo = [ ( 2.736434  )^{\frac{1}{7} ] - 1

r_{geo = [ 1.15466 ] - 1

r_{geo = 0.15466

r_{geo = ( 0.15466 × 100 )%

r_{geo = 15.47 %

Therefore, the annual growth rate is 15.47 %

5 0
3 years ago
7. A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?
aliina [53]

Answer:

r = 8.12

Step-by-step explanation:

The volume for a cylinder is V=πr^2h therefore,

v = 2279.64

h = 11ft

r = ?

2279.64 = πr^2 * 11

\frac{2279.64}{11}= {\pi r^2} \\

207.24 = πr^2

\frac{207.24}{\pi} =r^2\\\\66 = r^2\\\\\sqrt{66} = r\\\\\\8.12 = r

3 0
2 years ago
What is the 7th term in the sequence Below - 11,-4,3,10,17,24​
MAXImum [283]

Answer:

31

Step-by-step explanation:

Increases by 7 each time

8 0
3 years ago
Read 2 more answers
The lengths of pregnancies are normally distributed with a mean of 269269 days and a standard deviation of 1515 days. a. Find th
kati45 [8]

Answer:

a. 0.38%

b. 266.75 days

Step-by-step explanation:

We have the following data, mean (m) 269 and standard deviation (sd) 15, therefore:

a. The first thing is to calculate the number z:

z (x) = (x - m) / sd

z (309) = (309-269) / 15 = 2.67

When looking in the normal distribution table (attached), we have that at this value of z, the probability is:

P (z> 2.67), that is to say we must look in the table -2.67 and this value corresponds to 0.0038, that is to say 0.38%

b. Find the z-value with a left tail of 44%, i.e. 0.44. We look in the table for this value and what value of z corresponds.

invNorm (0.44) = -0.15

Find the corresponding number of days:

x = z * sd + m

we replace

d = -0.15 * 15 + 269 = 266.75 days

7 0
3 years ago
Choose a true statement
34kurt

Answer:

A true statement

Step-by-step explanation:

WHAT R THE STATEMENTS

7 0
3 years ago
Read 2 more answers
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