Answer:
Step-by-step explanation:
To factor the expression you need to know its roots.
First find the discriminant of this quadratic polynomial:
Then the roots of the expression are
Now the factored form is
Answer: 35 cm
Step-by-step explanation:
As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,
The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:
2(length + width) = Perimeter
2(2x + x) = 21
2(3x) = 21
6x = 21
x = 21/6 = 3.5 cm
x = 3.5 cm
From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:
2(length + width) = Perimeter
2(3x + 2x) = Perimeter
Perimeter = 2(5x)
Perimeter = 10x
Perimeter = 10(3.5)
Perimeter = 35 cm
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Probability of clearing exam in 1 st attempt=0.5
Probability of clearing exam in 2 nd attempt=0.7
Probability of clearing exam in 3 rd attempt=0.8
Probability that she passes the exam
(b)P(Pass qualification on 2nd try|passes qualification)
P(Pass qualification on 2nd try|passes qualification)
P(Pass qualification on 2nd try|passes qualification)
Answer:
456
Step-by-step explanation:
Let X be the SATscore scored by the students
Given that X is normal (1000,200)
By converting into standard normal variate we can say that
is N(0,1)
To find the top 10% we consider the 90th percentile for z score
Z 90th percentile = 1.28
i.e. only students who scored 456 or above only should be considered.