All three triangles are congruent by SAS
Answer: 0.01145
Step-by-step explanation:
We use Binomial distribution , where the probability of getting x successes in n trial is given by :-
, p = probability of getting each success in each trial.
As per given
The proportion that a car with a certain protection system will be recovered= p=0.87
n= 8
Let x be the number of cars will be recovered.
Then, the probability that 4 of 8 stolen cars will be recovered:


Hence, the required probability is 0.01145.
Answer:
175
Step-by-step explanation:
500 times 35/100
simplify
Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by 
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]