Answer:
see the explanation
Step-by-step explanation:
we know that
In a Rhombus opposite angles are congruent and consecutive angles are supplementary
The diagonals are perpendicular and bisect the angles
so
step 1
Find the measure of angle 4
we know that
--->by the diagonals bisect the angles
step 2
Find the measure of angle 1
we know that
----> by opposite angles are congruent
step 3
Find the measure of angle 2
we know that
----> by the diagonals bisect the angles
so
step 4
Find the measure of angle 3
we know that
----> by the diagonals are perpendicular
step 5
Find the measure of angle 5
we know that
----> by complementary angles
step 6
Find the measure of angle 6
we know that
----> by the diagonals bisect the angles
Answer:
0.38% probability that the sample contains exactly two defective parts.
Step-by-step explanation:
For each part, there are only two possible outcomes. Either it is defective, or it is not. The probabilities for each part being defective are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
What is the probability that the sample contains exactly two defective parts?
This is
0.38% probability that the sample contains exactly two defective parts.
We can solve the inequality first:
13x+2<4
13x<2 (subtract 2 from both sides)
x<2/13 or 0.15
So the only answer that falls in that range is 0
Hope this helps
Answer:
b=4
Step-by-step explanation:
A = 1/2 b*h
24 = 1/2 b* (3b)
combine like terms
24 = 1/2 *3 * b^2
24 = 3/2 b^2
multiply by 2/3 on each side
24 * 2/3 = 2/3 * 3/2 * b^2
16 = b^2
take the square root of each side
±sqrt(16) = sqrt(b)
±4 =b
but since b is a length it can only be positive
4 =b
Answer:
no
Step-by-step explanation:
because when lines are perpendicular, the angles are 90 degree angles.