Answer:
Long part= 45
Short part= 25
Step-by-step explanation:
Let the short part of the stick be x
Let the long part be x+20
The total length of the stick is 70cm
x + (x+20)= 70
x+x+20= 70
2x+20= 70
2x= 70-20
2x= 50
x= 50/2
= 25
Longer part length= 20+25
= 45
The short part is 25
The volume of pyramid is 4000 inch³.
<h3>What is Volume?</h3>
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Volume is sometimes referred to as capacity.
The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
Given:
base = 20 inches
height = 30 inches
Now, volume of pyramid
Volume = a²h/3
Volume = 20 x 20 x 30 /3
Volume = 400 x 10
Volume = 4000 inch³
Hence, the volume of pyramid is 4000 inch³.
Learn more about volume of pyramid here:
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What I gather from the question is that 
has second moment 
and variance 
, and you're asked to find the expectation and variance of the random variable 
.
From the given second moment and variance, we find the expectation of :
Expectation is linear, so
Using the same variance identity, we have
and
so that
Alternatively, we can use the identity
28 = x + (2x - 5)
28 = 3x - 5
+5 +5
33 = 3x
/3 /3
11 = x
On number is 11, the other is 17.
Check:
11(2)=22-5=17
Answer:
a. There is more variability in the prices of kid socks because they have a greater range.
Step-by-step explanation:
A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.
From the histogram
Highest Number of Packs of Adult Socks = 7
Lowest Number of Packs of Adult Socks = 5
Range = 7 - 5 =2
Highest Number of Packs of Kid Socks = 7
Lowest Number of Packs of Kid Socks = 4
Range = 7-4 = 3
We conclude that there is more variability in the prices of kid socks because they have a greater range.
The correct option is A.
