Answer:
2
Step-by-step explanation:
Rearrange the equation by writing
x² + x - 90 = 0
x² + x = 90
x² + x + 1/4 = 90 + 1/4
Recall that (a + b)² = a² + 2ab + b². Then
x² + 2 • x/2 + (1/2)² = 361/4
(x + 1/2)² = 361/4
x + 1/2 = ± √(361/4)
x = -1/2 ± 19/2
x = 9 or x = -10
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = 
Since radius of the reel = 
= 
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
Answer:
3b - 4
Step-by-step explanation:
Answer:
0.99
Step-by-step explanation:
Given,
Pink gumballs = 3,
Red gumballs = 4,
Green gumballs = 2,
So, total gumballs = 3 + 4 + 2 = 9,
Thus, total ways of selecting 5 gumball = 




Also, the total ways of selecting no red gumballs = 
= 1 × 1
= 1
So, the probability of no red gumballs in 5 drawn

Hence, the probability that a red gumball is drawn if there are 5 drawings
= 1 - probability of no red gumballs


≈ 0.99