Answer:
0.047
Step-by-step explanation:
Given that poisson distribution with mean m, for 0.5 square meter =1.5
Then the formula for finding the probability =
P[k] = (e^-m * m^k) k!
Hence we have
P[4] =[ (e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1
= (0.2231301601 * 5.0625) ÷ 24
=( 1.12944375) ÷24
= 0.04706
≈ 0.047
Hence, the final answer is 0.047
<span>the graph that represents the compound inequality –3
< n < 1 is the straight line from -3 to 1 in which there is a hollow
circle in the -3 point and in the 1 point. This is because < means that the
possible values of n is only greater than -3 exluding -3 and less than -1
excluding -1</span>
Answer:
$9.62
Step-by-step explanation:
15.50 + 3.74 = 19.24
19.24 / 2 = 9.62
so Mindy must pay Nora $9.62
Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
Since it is a four combination lock or permutation and she wants the last digit to be seven we have_,_,_,7
The first digit: Since we need it to be any number except 7 we have 9 possibilities.For the second digit: We have 8 possibilities since the numbers can't be repeated and we already chose 7 to be the last digit and any other digit to be the first digit.For the third digit: there are 7 possibilities since we already chose three numbers and these cannot be repeated.
We have the following:9*8*7=504