Answer:
a. 6.93 b. 5 c. 6.72 d. 3.46
Step-by-step explanation:
a. √4^2- 4(4)(-2)
Evaluate the power
√16-4×4(-2)
Multiply
√16-16(-2) = √16-(-32) = √16+32 Since 2 negatives equal a positive.
Add
√48
Find square root
√48= 6.92820323028-- rounded-- 6.93
b. √1^2-4(1)(-6)
Evaluate the power
√1-4(1)(-6)
Multiply
√1-(-24) = √1+24 Since 2 negatives equal a positive.
Add
√25
Find the square root
√25=5
c. √1^2-4(1)(-11)
Evaluate the power
√1-4(1)(-11)
Multiply
√1-(-44) = √1+44 Since 2 negative equal a positive.
Add
√45
Find the square root
√45= 6.7082039325-- rounded-- 6.72
d. √6^2-4(3)(2)
Evaluate the power
√36-4(3)(2)
Multiply
√36-24
Subtract
√12
Find the square root
√12= 3.46410161514-- rounded-- 3.46
Answer:
0.35
Step-by-step explanation:
we know that
The formula to use for uniform distribution is equal to

where,
b is the upper limit of the distribution which is 5 minutes in this case.
a is the lower limit of the distribution which is 0 minutes in this case.
x is the concerned value which is 1.75 minutes in this case.
substitute the given values

That means
The probability that a randomly selected passenger has a waiting time less than 1.75 minutes is 0.35
The height of a door will be around 6 feet and 8 inches, so about 7 feet. You will need to convert this to meters. To do this, you should first know that 1 meter = 3.28 feet. Now, divide 7 by 3.28:
7/3.28 = 2.134
So, a reasonable estimate would be 2 meters.
9514 1404 393
Answer:
(p -9q)/(4p² +12pq)
Step-by-step explanation:
The least common denominator will be the product of the denominators.

Answer:
Option 2 is correct that is (-1,4)
Step-by-step explanation:
We will use the section formula to find the coordinates of T
Formula is 
Here, 
On substituting the values in the formula we get





Therefore, option 2 is correct that is (-1,4)