Answer:
16. x = 3.0822, -3.0822
17. x = 1.6432, -1.6432
18. x = 1, -1
Step-by-step explanation:
16. log5[(4x²+2)/8] = 1
(4x²+2)/8 = 5¹
4x² + 2 = 40
4x² = 38
x² = 38/4
x² = 19/2
x = +/- sqrt(19/2)
x = 3.0822, -3.0822
17. log7[(2x²-4)(5)] = 1
10x² - 20 = 7¹
10x² = 27
x² = 2.7
x = +/- sqrt(2.7)
x = 1.6432, -1.6432
18. log5[(2x²+8)/2] = 1
x² + 4 = 5¹
x² = 1
x = +/-1
A)5:9
b)14:5
the are the answers
Answer with Step-by-step explanation:
We are given that
Number of ace cards=3
Number of face cards=5
Number of non-face cards=11
When we draw randomly 3 cards.
Z=5(number of aces)+4(number of other face cards)
We have to determine the possible different values for the random variable Z
Number of ace cards=3, number of other face cards=0
Z=5(3)+4(0)=15
Number of ace cards=2, number of other face cards=1

Number of ace card=1, number of other face cards=2
Z=5(1)+4(2)=13
Number of ace card=0, number of other face cards=3
Z=5(0)+4(3)=12
Answer: 20
Step-by-step explanation: 12•100 and then divide that answer by 60