Answer:
Step-by-step explanation:
lateral surface area=2πrh
=2π×2×9
=36π
≈36×3.14
≈130.04 sq.ft
Answer:
The fourth graph (last graph)
Step-by-step explanation:
Remember that the zeros of a function are the x-intercepts of the graph. To find the zeros we just need to set the function equal to zero and solve for x:




Now we know that the graph or our function intersects the x-axis at x = 1 and x = -4.
Since both x values inside the parenthesis are positive, our parabola is opening upwards.
The only graph opening upwards whose x-intercepts are x = 1 and x = -4 is the fourth one.
We can conclude that the graph of
is the fourth one.
Answer:
554 executives should be surveyed.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Standard deviation of 3 hours.
This means that 
The 95% level of confidence is to be used. How many executives should be surveyed?
n executives should be surveyed, and n is found with
. So






Rounding up:
554 executives should be surveyed.
Answer:
Step-by-step explanation:
(jk^-2/j^-1k^-3)^3
(-2)(-1)^-2
------------- ^3
(-2)^-1(-1)^-3
switch negative exponenst to other side
(-2)(-2)(-1)^3
__________
(-1)^2
4(-1)
-----
1
= -4
REMEMBER all to the 3rd power!
(-4)^3
-64
Answer:
b. 3
Step-by-step explanation:
In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].
30°-60°-90° Triangles
x√3 → long side
x → short side
2x → hypotenuse
45°-45°-90° Triangles
x → two legs
x√2 → hypotenuse
I am joyous to assist you anytime.