Answer:
P = 528
Step-by-step explanation:
P = a + b + c = 200 + 107 + 221 = 528
The probability of a car crash is 56.75
Approx probability of car crash = 227/400 = 0.5675 i.e. 56.75%
This probability is high enough to be of concern to those in the 16-18 age bracket because the probability is not unlikely.
Probability is the department of mathematics concerning numerical descriptions of the way in all likelihood an occasion is to occur, or how probable it's miles that a proposition is actual. The probability of an occasion is more than a few between zero and 1, in which, kind of talking, 0 indicates impossibility of the occasion and 1 shows actuality.
The probability of an occasion can be calculated through chance system via simply dividing the favorable range of results by using the overall number of possible results.
Learn more about probability here: brainly.com/question/24756209
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Answer:
a₆ = 13x + 31
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
Here a₁ = 3x + 1 and d = 2x + 6 , then
a₆ = 3x + 1 + 5(2x + 6)
= 3x + 1 + 10x + 30
= 13x + 31
Answer:
-3.5
The distance Rachel covers per hour is 3.5 miles
Step-by-step explanation:
After 2 hours, she is 13 miles from the campground.
After 4 hours, she is 6 miles from the campground.
Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).
The equation of the line passing through the points
and
is

Substitute:

Hence,

The slope of the line is
and it represents that the distance Rachel covers per hour is 3.5 miles.
Answer:
Step-by-step explanation:
Find the equation of the segment going from (0,-5) to (3,7)
y intercept = -5
Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4
equation: y = 4x - 5
g(x) = x^2 / f(x)
f(x)= (4x - 5)
g(x) = x^2 / (4x - 5)
g'(x) = x^2 * (4x - 5)^-1
g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2
I will leave that monster the way it is and just find g'(1)
g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2
g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2
g'(1) = -2 + (-1) (1)^2 (4)
g'(1) = - 2 + (-1) (1)^2 (4)
g'(1) = - 2 - 4
g'(1) = - 6