So lets do it like this:
z = (X-Mean)/SD
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;
Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.
Answer:
Θ = 50°
Step-by-step explanation:
Using the cofunction identity
cosx = sin(90 - x)
Given
cos40° = sin(90 - 40)° = sin50° ⇒ Θ = 50°
Answer:
<em>37</em>
Step-by-step explanation:
To find the number of calories per hour, you need to divide
185 ÷ 5 = 37
When divided, you get the unit rate or <em>37 calories per hour</em>
Answer:
32.92
Step-by-step explanation:
well you just do base times height
the height is 3.5
the area of the base is 3 * pi which is 9.42 if you round pi to 3.14
so 3.5*9.42= 32.92
