Answer:
Area of triangle ABC=7 square units
Area of triangle A'B'C'=7 square units
Step-by-step explanation:
Triangle ABC is the preimage of triangle A'B'C' under a reflection in the line x=0.
The two triangles are congruent so they have the same area.
We can calculate the area by counting the unit squares the triangle covered.
Each full box is 1 units square.
Each triangle covered
1 full box and 12 partially covered boxes.
Each partial box covered is 0.5 square units.
Therefore the area is
square units
Answer with Step-by-step explanation:
Independent:Tickets,Shopping list,weight,Hiking,Mushrooms in the bridge,Number of trophies
Dependent:Money,Shopping bas,price of customer's order,snacks,mushroom tarts, shelves on the case
Answer:
The probability that the student is going to pass the test is 0.0545
Step-by-step explanation:
The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:
Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2
Then, if the student pass the test with at least 8 questions correct, the probability P of that is:
P = P(8) + P(9) + P(10)
P = 0.0439 + 0.0097 + 0.0009
P = 0.0545
First of all we want to find a common denominator so we can add them together.
40 is our Lowest Common Multiple.
5/8 = 25/40
1/5 = 8/40
25/40 + 8/40 = 33/40
Answer:
0.9179 = 91.79% probability that a randomly selected call time will be less than 25 seconds
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which 
is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
In this question:
Find the probability that a randomly selected call time will be less than 25 seconds?
0.9179 = 91.79% probability that a randomly selected call time will be less than 25 seconds
