Answer:
angle 1 is 90 degrees because of the kite theorem:
THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular.
angle 2 is 58 degrees because 180-90-32=58 degrees
Step-by-step explanation:
Answer:
45 cubic units
Step-by-step explanation:
Vtotal = 1/2 (2.5*3) * 6 *2
where
2.5 is the base
3 is the height
6 is the length
2 is the number of prisms
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 9 rolls, hence
.
- Of the six sides, 2 are 3 or 4, hence

The desired probability is:

In which:

Then



Then:


0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check brainly.com/question/24863377
Answer:
A. cd4
Step-by-step explanation:
Answer: x ≥ 6
Step-by-step explanation:
So 6 - 20 would equal -14 which is greater than -15 making it our inequality equal to or greater then 6