Explanation:
The number of times the 6-sided number cube will be rolled will is
Let the numbers greater than 4 be represented below as
The number of sample space will be
The probability of rolling a number greater than 4 will be calculated below as
Hence,
To calculate the number of times a number greater than 4 will be rolled will be calculated below as
Hence,
The final answer is
The domain of the function is possible values of independant varaible such that function is defined or have real values.
So the expression
is not defined for x = -6 and for x = 1, as expression becomes undefined for this values of x (Denominator becomes 0).
So answer is,
Option B is correct.
72:80
9:10
Divide 72 and 80 by 8 to simplify it and get the ratio
Step-by-step explanation:
15t + 30 = 20t | -15t
30 = 5t
t = 30/5 = 6
20 + 5t = -6t + 86 | + 6t
20 + 11t = 86 | -20
11t = 66
t = 6
18t + 20 = 24t + 50 | -18t
20 = 6t + 50 | -50
-30 = 6t
t = -30/6 = -5
18t - 2 = 10t + 54 | -10t
8t - 2 = 54 | +2
8t = 56
t = 56/8 = 7
7t - 5 = 15t + 91 | -7t
-5 = 8t + 91 | -91
-96 = 8t
t = -96/8 = -12
Answer:
41 units
Step-by-step explanation:
Pythagorean's theorem,
Hypotenuse² = base² + adjacent²
Diagonal² = length² + width²
= 40² + 9²
= 1600 + 81 = 1681
Diagonal = √1681 = 41 units
