AAS
(20 characters minimum)
Answer:
a) 0.778
b) 0.9222
c) 0.6826
d) 0.3174
e) 2 drivers
Step-by-step explanation:
Given:
Sample size, n = 5
P = 40% = 0.4
a) Probability that none of the drivers shows evidence of intoxication.
![P(x=0) = ^nC_x P^x (1-P)^n^-^x](https://tex.z-dn.net/?f=%20P%28x%3D0%29%20%3D%20%5EnC_x%20P%5Ex%20%281-P%29%5En%5E-%5Ex)
![P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0](https://tex.z-dn.net/?f=P%28x%3D0%29%20%3D%20%5E5C_0%20%20%280.4%29%5E0%20%281-0.4%29%5E5%5E-%5E0)
![P(x=0) = ^5C_0 (0.4)^0 (0.60)^5](https://tex.z-dn.net/?f=%20P%28x%3D0%29%20%3D%20%5E5C_0%20%280.4%29%5E0%20%280.60%29%5E5)
b) Probability that at least one of the drivers shows evidence of intoxication would be:
P(X ≥ 1) = 1 - P(X < 1)
c) The probability that at most two of the drivers show evidence of intoxication.
P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)
d) Probability that more than two of the drivers show evidence of intoxication.
P(x>2) = 1 - P(X ≤ 2)
e) Expected number of intoxicated drivers.
To find this, use:
Sample size multiplied by sample proportion
n * p
= 5 * 0.40
= 2
Expected number of intoxicated drivers would be 2
Answer:2
Step-by-step explanation:
.9x+6.8
.65x+7.3
Find x by graphing it
Answer:
5.6
Step-by-step explanation:
Answer:
![-10+i\sqrt{2}](https://tex.z-dn.net/?f=-10%2Bi%5Csqrt%7B2%7D)
Step-by-step explanation:
One is given the following expression:
![\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D-%5Csqrt%7B-98%7D-%5Csqrt%7B144%7D%2B%5Csqrt%7B-128%7D)
In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.
![\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}](https://tex.z-dn.net/?f=%5Csqrt%7B4%7D-%5Csqrt%7B-98%7D-%5Csqrt%7B144%7D%2B%5Csqrt%7B-128%7D)
![\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%7D-%5Csqrt%7B-1%2A2%2A7%2A7%7D-%5Csqrt%7B12%2A12%7D%2B%5Csqrt%7B-1%2A2%2A8%2A8%7D)
Take factors from out of under the radical:
![\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%7D-%5Csqrt%7B-1%2A2%2A7%2A7%7D-%5Csqrt%7B12%2A12%7D%2B%5Csqrt%7B-1%2A2%2A8%2A8%7D)
![2-7i\sqrt{2}-12+8i\sqrt{2}](https://tex.z-dn.net/?f=2-7i%5Csqrt%7B2%7D-12%2B8i%5Csqrt%7B2%7D)
Simplify,
![-10+i\sqrt{2}](https://tex.z-dn.net/?f=-10%2Bi%5Csqrt%7B2%7D)