The standard deviation of the sampled containers contents is 0.50.
Option (b) is correct.
To find the standard deviation.
<h3>What is a standard deviation?</h3>
A standard deviation (or σ) exists as a measure of how dispersed the data exists about the mean. Low standard deviation means data exist clustered about the mean, and high standard deviation suggests data exist better extended out.
Given that:
Mean is the sum of all values divided by the total number of values.
Mean
= (1/10) [19.52+19.61+19.62+20.3+19.74+19.88+19.9+19.8+20.97+20.92]
= 200.26/10
= 20.02
s^2=1/10[(19.52-20.02)^2+(19.61-20.02)^2+(19.62-20.02)^2+(20.3-20.02)^2+(19.74-20.02)^2+(19.88-20.02)^2+(19.9-20.02)^2+(19.8-20.02)^2+(20.97-20.02)^2+(20.92-20.02)^2]
1/10*2.52
=0.25
s=0.50
The standard deviation exists at 0.50293.
Therefore, the standard deviation of the sampled containers contents is 0.50.
Learn more about standard deviation here:
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It is really 2/3 so the person that told u is correct
Answer:
1. The value of x is 9.4.
2. The value of y is 17.7.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 32°
Hypothenus = y
Opposite = x
Adjacent = 15
1. Determination of the value of x.
The value of x can be obtained as follow:
Angle θ = 32°
Opposite = x
Adjacent = 15
Tan θ = Opposite /Adjacent
Tan 32° = x/15
Cross multiply
x = 15 × Tan 32°
x = 9.4
Therefore, the value of x is 9.4
2. Determination of the value of y.
The value of y can be obtained as follow:
Angle θ = 32°
Hypothenus = y
Adjacent = 15
Cos θ = Adjacent /Hypothenus
Cos 32° = 15/y
Cross multiply
y × Cos 32° = 15
Divide both side by Cos 32°
y = 15/Cos 32°
y = 17.7
Therefore, the value of y is 17.7.
9 + -6 -6 : perform multiplication
Simplify - -3
"Alia gets 4^2 fewer than Kelly, who gets 3^3."
So it's about a subtraction.
Hope this helps.
r3t40