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Vitek1552 [10]
3 years ago
5

What are the cardinal directions

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
North South East West
You might be interested in
Compute the standard deviation of the following set of data to the nearest whole number:
Klio2033 [76]

Answer:

Step-by-step explanation:

The standard deviation is the square root of the variance, and the variance is found by using the mean. So we will do that first. I will use the population variance as opposed to the sample variance since our set of numbers is small.

The mean: 8 + 12 + 15 + 17 + 18 = 70 and divide that by 5 to get

\bar{x}=14 and use this to find the variance in the formula:

s^2=\frac{\sum(x_i-\bar{x})^2}{n} it is a bit difficult to enter that formula in correctly, but here's how it works mathematically:

s^2=\frac{(8-14)^2+(12-14)^2+(15-14)^2+(17-14)^2+(18-14)^2}{5}

Squaring this ensures us that we don't end up with zero, which would be useless.

s^2=\frac{36+4+1+9+16}{5} so

s^2=13.2 which means that the standard deviation is

s = 3.633

(If you do it with n-1 = 4 in the denominator of the variance, you get a standard deviation of 4.062)

3 0
3 years ago
Suppose the population of a town is 8,200 and is growing 4% each year, what is the population expected to be in 10 years
miv72 [106K]

Answer:

12,138 people

Step-by-step explanation:

Create an equation using the basic exponential growth equation:

y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.

Plug in the values we know

y = a(1 + r)^t

y = 8200(1 + 0.04)^10

y = 8200(1.04)^10

= 12,138 people

8 0
4 years ago
Help !!!<br>See question in image.<br>Please show workings .<br>​
ivolga24 [154]

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) \frac{f(x+h)-f(x)}{h}

      = lim ( h to 0 ) \frac{4(x+h)^2-2-(4x^2-2)}{h}

      = lim ( h to 0 ) \frac{4(x+h)^2-2-4x^2+2}{h}

      = lim( h to 0 ) \frac{4x^2+8hx+4h^2-4x^2}{h}

      = lim( h to 0 ) \frac{8hx+4h^2}{h}

      = lim ( h to 0 ) \frac{4h(2x+h)}{h} ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

5 0
3 years ago
What is ​ 4910 ​ expressed as a decimal?What is ​ 4910 ​ expressed as a decimal?
Anna35 [415]
I think its 4910.00 you can't make a whole number a decimal.
5 0
3 years ago
Read 2 more answers
Quan is inviting 3 friends to a party. Each friend wants 8 cookies and each box has 6 cookies.How many boxes should Quan get?
Anastasy [175]
First, figure out how many total cookies you need. You do this by multiplying the number of friends times the number of cookies each friend will get.

8 x 3 = 24

Then, you take the number of cookies and divide it by the number in each box to find the number of boxes you need.

24/6 = 4

Quan should get 4 boxes.
3 0
3 years ago
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