Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest
1 answer:
Answer:0.9991
Step-by-step explanation:
The Poisson distribution probability formula is given by :-
, where \lambda is the mean of the distribution and x is the number of success
Given :
The probability that more than 1 student will have his automobile stolen during the current semester is given by :-
Hence, the probability that more than 1 student will have his automobile stolen during the current semester =0.9991
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Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
Answer:
TanA= and sinA=36/45
Step-by-step explanation:
Tan= opposite/adjacent
since 36 is opposite of A and 27 is adjancent to 36 your will use tanA= 36/27
Sin= opposite/hypotenuse
36 is opposite of A and 45 is the hypotenuse
Answer:
36 tiles
Step-by-step explanation:
First, find area of the square floor knowing the formula as;
Area=
where s= side of a square.
If one side of the floor is 12 feet, then Area=
Next, find the area of each tile using the same formula and given s=2 feet;
Area(tile) =
To find the number of tiles needed to cover entire floor, divide area of the floor by area of one tile; 144 / 4 = 36 tiles