Brennan will have to take 8 more quizzes to get to 25
Answer:
A) I
Step-by-step explanation:
C is in 4th vertex and if moved 4 units it wii be in 1st vertex.
Answer:
x = 20
Step-by-step explanation:
Given the triangles are congruent then corresponding angles are congruent, so
∠ N = ∠ E
To calculate ∠ E subtract the sum of the 2 given angles from 180
∠ E = 180 - (x - 5 + 4x - 10)
= 180 - (5x - 15)
Equate ∠ N and ∠ E
5x - 5 = 180 - 5x + 15 ( add 5x to both sides )
10x - 5 = 195 ( add 5 to both sides )
10x = 200 ( divide both sides by 10 )
x = 20
Answer:
a) P(X =16 ) = 0.1853
b) 
= 0.0684
Step-by-step explanation:
GIVEN DATA:
n = 16
p = 0.90
from relation given probabllity can be solve
a)
P(X =16 ) = 0.1853
b) 
= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]
![= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]](https://tex.z-dn.net/?f=%3D%201%20-%20%5B%20%5E%7B16%7DC_%7B13%7D%20%2A%200.90%5E%7B13%7D%20%2A%20%281%20-%200.90%29%5E3%20%2B%5E%7B16%7DC_%7B14%7D%20%2A%200.90%5E%7B14%7D%20%2A%20%281%20-%200.90%29%5E2%20%2B%5E%7B16%7DC_%7B15%7D%20%2A%200.90%5E%7B15%7D%20%2A%20%281%20-%200.90%29%5E1%20%2B%5E%7B16%7DC_%7B16%7D%20%2A%200.90%5E%7B16%7D%20%2A%20%281%20-%200.90%29%5E0%20%5D)
= 0.0684
Not possible, you know you have to have at least 5 nickels so substract those first, now your at 4.50. you cant get to 54 coins after that
