Answer:
The margin of error is<em> 0.22</em>
Step-by-step explanation:
Mathematically, the margin of error at the given confidence interval can be calculated using the formula below;
Margin of error = × s/√n
where is the t-value at the given confidence interval, s is the standard deviation and n is the sample size
= 1.96 (From t-distribution table)
s = 2.5 inches
n = 500
MOE = 1.96 × 2.5/
MOE = 1.96 × 2.5/22.36
MOE = 0.22
V=π·r²·h
V=3.14(15²)=706.5
V=706.5x15=10597.5
V=10597.5
The graph is a circle, centered at the origin, with radius=4.
We know that we can write the equation of a circle with radius r and center (a,b) as :
.
Thus, substituting (a, b) with (0, 0) and r with 4, we have:
.
The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:
,
we would still have the same roots.
Thus, the equation of the circle can be written as :
.
Answer: B
Answer:
And if we solve for m we got:
And replacing we got:
And if we round to the nearest value we got 456 Kg
Step-by-step explanation:
For this problem we know the following info:
represent the volume
represent the density
We want to find the mass and we can use the following definition:
And if we solve for m we got:
And replacing we got:
And if we round to the nearest value we got 456 Kg
For the first image, I would recommend using Desmos; it is an online graphing calculator. You can find it on online and it is free; I use it all the time for my school work
I would input each function and sees which one matches the image on the test.
As for the second image, I believe the answer is C; x is greater than or equal to -1.
For the third and last image, I believe the answer is A; x is less than -1.
I hope this helps .