Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by
Where 
is the mean weight 
is the standard deviation 
is the critical value from t-table and n is the sample size.
The term 
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
we are given
Firstly, we will split terms
We can group first two and last two terms
we can see that 2x^2 is common in first two terms
and 3 is common in last two terms
so, we can factor factor out 2x^2 from first group and 3 from second group
we get
we can see that each terms are multiple of 6x-1
so, we can factor out 6x-1
so, we get
............Answer
In thermodynamics, specific volume is considered to be an
intrinsic property of matter. What we meant by intrinsic property is that, the
value of this property does not change no matter the size of the sample. This
is opposite to weight or volume which changes depending on the size of the
sample.
By mathematical definition, specific volume is the ratio of
the substance’s volume to its mass. Or in other words, this is the reciprocal
of density.
The formula for density is:
density = mass / volume
Since specific volume is reciprocal so:
Specific volume = 1 / density = volume / mass
Calculating:
Specific volume = 100 ft^3 / 5 pounds
Specific volume = 20 ft^3 / pound
Or when asked in units of m^3 / kg, we convert:
Specific volume = (20 ft^3 / pound) (2.2 pound / kg) (1 m^3
/ 35.3147 ft^3)
Specific volume = 1.246 m^3 / kg
Answer:
Width 
in
length 
in
Step-by-step explanation:
let width
painting is 
in taller than it is wide
length 
Perimeter of rectangle 
(length+width)
Perimeter of painting 
width 
in
length 
n
Answer:
a)12 b)12 c)36
Step-by-step explanation:
a)find least common multiple. the number of marbles is that number * n (where n is an integer)
b) the least common multiple. it is 4*3=...
c)12*3 =?
then just divide by 2,3,4 to get answer
