We can find x only if we know that the figure is a REGULAR octagon, i.e. an octagon with all sides equal, and all interior angles equal.
We will ASSUME that the figure is a regular octagon.
For a regular polygon, the central angle subtended by each side is equal.
The central angle is 360 degrees.
So the central angle subtended by a single side euqals
a=360 degrees / 8 sides = 45 degrees / side
Since x is the total angle subtended by three sides, so
x=3*45=135 °
Answer:
The conversion of 2 yards into centimeter is 183 centimeter .
Option (D) is correct .
Step-by-step explanation:
As given
1 yard = 3 feet
1 foot = 12 inches
1 inch = 2.54 cm
Take
1 inch = 2.54 cm
Mutiply above by 12.
1 × 12 inch = 2.54 × 12 cm
12 inch = 30.48 cm (As 1 foot = 12 inches )
Thus
1 foot = 30.48 cm
Multiply above by 3
1 × 3 foot = 30.48 × 3 cm
3 foot = 91.44 cm (As 1 yard = 3 feet )
1 yard = 91.44 cm
Thus the relationship between the yard and centimeter is given by.
1 yard = 91.44 cm
Now convert 2 yards to centimeters .
2 yards = 2 × 91.44 centimeters
= 182.88
= 183 centimeter (Approx)
Therefore the conversion of 2 yards into centimeter is 183 centimeter .
Option (D) is correct .
Answer:
x= +2
f(x)= +8
Step-by-step explanation:
:3
There are 45 eigths in 5 5/8 because 5*8 + 5 = 45
therefore 5 5/8 = 45/8
Answer:
64.65% probability of at least one injury commuting to work in the next 20 years
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Each day:
Bikes to work with probability 0.4.
If he bikes to work, 0.1 injuries per year.
Walks to work with probability 0.6.
If he walks to work, 0.02 injuries per year.
20 years.
So

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

We want
. Then

In which



64.65% probability of at least one injury commuting to work in the next 20 years