Answer:
Because -3-/8 itself is an irrational number. No matter the operation it wil always be irrational
Step-by-step explanation:
The focus is left of the vertex, so the parabola opens to the left. The vertex is halfway between the focus and directrix, so the directrix is the vertical line
x = 2
Answer:
He must survey 123 adults.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
The margin of error is:

Assume that a recent survey suggests that about 87% of adults have heard of the brand.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?
This is n for which M = 0.05. So






Rounding up:
He must survey 123 adults.
Answer:
4th one
Step-by-step explanation:
must be ![\sqrt[6]{x^{5} }](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B5%7D%20%7D)
Let
x-----> the measure of the angle formed by the wooden fence and grass
we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°
the answer is
32 degrees