Answer: FIRST OPTION.
Step-by-step explanation:
Regular polygons are those polygons whose sides are equal in length and whose angles are all equal.
By definition each interior angle of a Regular polygon,is:
(In degrees)
Where "n" is the number of sides of the polygon.
Observe the Regular polygon given in the exercise.
Since it has 6 sides, you can conclude that it is an Hexagon. Then:
Substituting into and evaluating, you get:
Knowing this, you can write the following equation:
Finally, you must solve for "x" in order to find its value. This is:
By using Pythagorean Theorem,
C^2= (10)^2+ (9)^2
C^2=100 + 81
C^2=181
C= 13.4cm
Hope it helps!
Answer:
Probability that deliberation will last between 12 and 15 hours is 0.1725.
Step-by-step explanation:
We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.
<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= mean time = 12.56 hours
= standard deviation = 6.7 hours
So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X 
12)
P(X < 15) = P( < 
) = P(Z < 0.36) = 0.64058
P(X 12) = P( 
) = P(Z -0.08) = 1 - P(Z < 0.08)
= 1 - 0.53188 = 0.46812
<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>
Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.
(-2/5)-(-1/8)
Need to make the denominators the same
(-16/40)-(-5/40)
Multiply -2/5 by 8
Multiply -1/8 by 8
-- sign= positive
-16/40+5/40
Answer=-11/40
I think the answer is
1) 3/2
