nine divided by five to the sixth power is 0.000576
Answer:
Choice A (older trees are generally taller than younger trees)
Step-by-step explanation:
As you increase the x value, the y value tends to increase as well. Choice B is incorrect because the points are clustered together in a linear fashion, showing correlation. Choice C is incorrect because the fact that they are clustered around a line of best fit shows high correlation. Choice D is incorrect because a negative correlation coefficient would mean the y decreases as x increases.
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
Maybe use a Calculator and multiple the two number?
Answer:
Finding the product of 9, 10 and 9 ; 810
Step-by-step explanation:
Given that :
Length = 10 feets
Width = 9 feets
Height = 9 feets
The volume of a rectangular prism is obtained by :
Length * width * height
The volume could be obtained by taking the product of 10, 9 and 9
Hence, the volume of the rectangular prism is :
(10 * 9 * 9) feet³ = 810 feet³
Number of 1 feet³ boxes = 810 feet³ / 1 feet³ = 810
