Step-by-step explanation:
To do this, divide the numerator by the denominator. The result is the decimal form of the ratio. For example, convert 7:2 to a decimal value.
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The sample mean is
The sample size is n = 25
The standard deviation is
Given that the sample size is not large enough i.e n< 30 we will make use of the student t distribution table
From the question we are told the confidence level is 99.7% , hence the level of significance is
=>
Generally the degree of freedom is
=>
=>
Generally from the student t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
=>
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Gnerally the upper control chart limit for 99.7% confidence is mathematically represented as
=>
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Linear pair angles are always supplementary.
So,
(2x+10) +(3x+10) = 180
5x+20 = 180
5x =180-20
5x=160
x= 160/5
x=32
Hence, the angles are 74 & 104
Answer:
The length of each side of the polyhedron, s is 4.142 or
=
Step-by-step explanation:
If we take the distance of the length of the side of the cube where Donatello make the cut to the corner of the cube as x we get the side of length each polyhedron as
x·√2 because we have an hy
Therefore, the original cube had sides of length
10 = 2·x + x·√2
Solving for x we get
Therefore the length of s is x·√2 which gives
The length of each side of the polyhedron, s = 4.142.