Answer:
The sample standard deviation of the 14 measurements is 3.93
Step-by-step explanation:
The standard deviation = √(variance)
The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.
Mathematically,
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean
N = number of variables
For 12 variables,
N = 12
σ = 4.25
xbar = 38
Σ(x - xbar)² = sum of the square of all deviations; let it be equal to D
4.25 = √[Σ(x - xbar)²/12]
4.25 =√(D/12)
4.25² = D/12
D = 216.75.
For 14 measurements,
N = 14
The mean is going to still be 38, because the two new measurements are each 38.
xbar = 38
And the new additions to the sum of deviations, will be (38 - 38)² twice, that is, 0.
Standard deviation for 14 measurements
Standard deviation = σ = √[Σ(x - xbar)²/N]
σ = √(216.75/14) = 3.93
I think its a hundred thousand
The correct answer is D
since 3.2222... is a repeating number, it is rational
0.112123123412345 is not repeating and doesn't have a cosistent pattern, so it isn't rational
1.589 is rational because this decimal stops and doesn't continue- it can also be written as a fraction ( 
)
Option B: 8x+1 has the steepest slope
Step-by-step explanation:
Slope is defined as the rate of change of a line
The steepness of a slope means how close it is to being vertical
The greater value of slope means, more steepness. The value of slope can wither b positive or negative
We have to compare the slopes of all given options to find the steepest slope
As the options are in slope-intercept form, the coefficients of x will be the slope
So,
a. Slope = -4
b. Slope = 8
c. Slope = 2/3 = 0.66
d . Slope = 1/7 = 0.14
We can see that the largest value of slope in negative and positive is 8
So,
Option B: 8x+1 has the steepest slope
Keywords: Slope, steepness
Learn more about slopes at:
#LearnwithBrainly
9514 1404 393
Answer:
9.404 cm
Step-by-step explanation:
A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...
s = 2r·sin(180°/n)
For r = 8 and n = 5, this gives a side length of ...
s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm
