5 ft = 5 * 12 in = 60 inches
Four consecutive even numbers are: x, x + 2, x + 4, x + 6
x + x + 2 + x + 4 + x + 6 = 60
4 x + 12 = 60
4 x = 60 - 12
4 x = 48
x = 48 : 4
x = 12
Answer:
Those shelves should be: 12, 14, 16 and 18 inches long.
Verification: 12 + 14 + 16 + 18 = 60 in = 5 ft.
Answer:
0.74
Step-by-step explanation:
The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:
σ² = ![\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B%7B%28x_%7B1%7D-%5Bx%20bar%5D%20%29%7D%5E%7B2%7D%2B...%2B%7B%28x_%7Bn%7D-%5Bx%20bar%5D%29%20%7D%5E%7B2%7D%7D%7Bn%7D)
x = number in the data set
xbar = median of the data set
n = number of terms
Plugging in the given values, the equation for the variance of this number set is:
σ² = 
Solving:
= 
= 
σ² = 0.546875
Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

= 0.73950997288745
= 0.74 (rounded)
hope this helps!
Step-by-step explanation:
Check the above photos...
I don’t have a calculator but it’s 15,400X0.92
Answer:
- 
Step-by-step explanation:
Rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator
the conjugate of
+ 5 is
- 5, hence
12 / (
+ 5) × (
- 5 ) / (
- 5)
= (12
- 60 ) / - 18
=
- 