If 4^x=1, whats x?
X=0
So log(4)1=0
Answer:
4(3 −1)−5=75
Step-by-step explanation:
The event that either M1 or M2 fails has probability

by the addition rule. Failure events are independent, so

so that

Denote this probability by
. Then
follows a geometric distribution with this parameter
and has density

The expectation is
.
Answer:
The distance between the parallel sides is 20cm.
Step-by-step explanation:
Area of a trapezoid:

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.
3 of the 4 variables in this equation are already given:
A = 800
a = 48
b = 32
Just plug those in and solve for h:

We know that PQ is 21 cm and QR is 5 cm. There are only 2 possible answer for this and you use only one formula. It's called the Pythagorean theorem.
The first possible is this. If the hypotenuse(the longest side of a triangle) is PR, we do:
a² + b² = c² ←Fill in the numbers
21² + 5² = c²
441 + 25 = c²
466 = c²
√466 = 21.12 cm←Possible length
The second possible is this:
5² + b² = 21²
25 + b² = 441
b² = 441 - 25
b² = 416
√416 = 20.4←Another possible answer