95% confidence interval = 62.6 + or - 1.96 x 10.4/sqrt(60) = 62.6 + or - 1.96 x 1.343 = 62.6 + or - 2.63.
Therefore, there is a 95% chance that the population mean would lie between 59.91 liters and 65.29 liters.
Answer:
20 cats
Step-by-step explanation:
A proportion has to be setup to answer this
5/4 = 25/x
x represents the missing number of cats
This fraction represents the relationship amongst dogs and cats
----
To solve cross multiply
5x = 100
(let me down below if you need an explanation on how to cross multiply)
Divide both sides by 5 in order to get the variable by itself
100/5 = 20
x = 20
The shelter has 20 cats
Answer:
x = 40 when y = 10
Step-by-step explanation:
The reason that answer is true is because every time 'y' goes up by 1 'x' goes up by 4. So when 'y' = 10 that means x has to go up 10 times just like 'y' did.
Answer:
Below.
Step-by-step explanation:
1. The common difference is 3 so the next 2 terms are 12 and 15.
2.. The common difference is 2 so the next 2 terms are 4 and 6.
Answer:
The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with
N sides. It is equal to 360
o
N
.
Step-by-step explanation:
Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.
However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to 360
o
.
It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of
360
o
. So, if all exterior angles are equal, like in a regular polygon, each one equals to 360
o
N
.
It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is (
N
−
2
)
⋅
180
o
.
Dividing the above by N
we will obtain a value of an interior angle: (
N
−
2
)
⋅
180o
N
.
Therefore, exterior angle of a regular polygon is 180
o
−
(
N
−
2
)
⋅
180
o
N
=
360
o
N
