Answer:
A) 8
Step-by-step explanation:
Add angles AOB and BOC to get angle AOC.
Since we know the value of AOC is 124 and AOB+BOC=AO
Then (8x+25)+(6x-13)=124.
Combine like terms to get 14x+12= 124.
Solve for x by subtracting 12 from 124, then divide the answer by 14.
Answer: 3/55
Step-by-step explanation:
From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.
If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.
Therefore, the probability he will win a prize on both picks will be:
= 3/11 × 2/10
= 6/110
= 3/55
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Answer:
? = 57
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 14/26
Taking the inverse cos of each side
cos ^-1 ( cos ?) = cos ^-1 ( 14/26)
? = 57.42102961
To the nearest degree
? = 57
Answer:
21.77% probability that the antenna will be struck exactly once during this time period.
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.
In this question:
Find the probability that the antenna will be struck exactly once during this time period.
This is P(X = 1).
21.77% probability that the antenna will be struck exactly once during this time period.
