Answer:40
Step-by-step explanation:
On a fair die, each face has a 1/6 chance of landing on each toss.
5 and 6 are the only faces greater than 4, therefore there is a 1/6 + 1/6 = 2/6 chance of the die landing on a number greater than 4 for each toss.
Multiply the probability by the total number of tosses to get the number of tosses that are greater than 4.
120 * (2/6) = 240/6 = 40
Approximately 40 tosses will land on a number greater than 4.
8,16,24,32,40,48,56,65,73,81,88.....
9,18,27,36,45,54,63,72,81,90....
since 81 is the smallest number in both lists, it is the LCM
Answer:
x = 33
Step-by-step explanation:
(x-17)°+(5x-1)°=180°
6x-18 = 180
6x = 198
x = 33
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
