Work: -3p-(-8+4p)
Distribute
-3p+8-4p
Combine
-7p+8
Answer: -7p+8
Hope that helps
Mu=80, sigma=39, X=85
Z=(X-mu)/sigma = 5/39=0.128=0.13
P(X<=85)= 0.5517 (from Z-table)
so, P(X>85)=1-0.5517=0.4483 approx. thats 44.8% probability.
Answer:
The length of the hypotenuse is 16.2 inches.
Step-by-step explanation:
![c^{2} = a^{2} + b^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20b%5E%7B2%7D)
![c^{2} = 6^{2} + 15^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%206%5E%7B2%7D%20%2B%2015%5E%7B2%7D)
![c^{2} = 36 + 225](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%2036%20%2B%20225)
![c^{2} = 261](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20261)
![\sqrt{c^{2} } = \sqrt{261}](https://tex.z-dn.net/?f=%5Csqrt%7Bc%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B261%7D)
![c = 16.2](https://tex.z-dn.net/?f=c%20%3D%2016.2)
Answer:
d
Step-by-step explanation:
Because ABCD is a rhombus, ΔABC ~ ΔADC.
The length of AC = 4 (the base of ΔABC.
The height of ΔABC = 7 - 1 = 6
The area of ΔABC is
(1/2)*4*6 = 12
Therefore the area of ABCD = 2*12 = 24
Answer: 24