Answer:
1766 using 3.14 for pi
1767 using the pi button
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
we need to know the radius
r =d/2 = 15/2 = 7.5
V = 4/3 (pi)( 7.5)^3
V =562.5 pi
Approximating pi by 3.14
V = 562.5 (3.14)
V =1766.25
To the nearest whole number
V = 1766
If you use the pi button
1767.14586
To the nearest whole number
1767
Answer:
(a) 8
(b) 16
(c) 24
(d) The ratios are the same
Step-by-step explanation:
(a) For inputs -5 and -4, the difference of outputs is ...
-3 -(-11) = 8
__
(b) For inputs 0 and 2, the difference of outputs is ...
45 -29 = 16
__
(c) For inputs -3 and 0, the difference of outputs is ...
29 -5 = 24
__
(d) The ratios of output difference over input difference are ...
8/1 = 16/2 = 24/3 = 8 . . . . . they are all the same
This is yet another confirmation that the slope of a line is the same everywhere, and over any interval.
If you'd graph this function, you'd see that it's positive on [-1.5,0], and that it's possible to inscribe 3 rectangles on the intervals [-1.5,-1), (-1,-0.5), (-0.5, 1].
The width of each rect. is 1/2.
The heights of the 3 inscribed rect. are {-2.25+6, -1+6, -.25+6} = {3.75,5,5.75}.
The areas of these 3 inscribed rect. are (1/2)*{3.75,5,5.75}, which come out to:
{1.875, 2.5, 2.875}
Add these three areas together; you sum will represent the approx. area under the given curve on the given interval: 1.875+2.5+2.875 = ?
<u><em>Answer:</em></u>
1)
f(x)→ ∞ when x→∞ or x→ -∞.
2)
when x→ ∞ then f(x)→ -∞
and when x→ -∞ then f(x)→ ∞
<u><em>Step-by-step explanation:</em></u>
<em>" The </em><em>end behavior</em><em> of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph "</em>
1)
a 14th degree polynomial with a positive leading coefficient.
Let f(x) be the polynomial function.
Since the degree is an even number and also the leading coefficient is positive so when we put negative or positive infinity to the function i.e. we put x→∞ or x→ -∞ ; it will always lead the function to positive infinity
i.e. f(x)→ ∞ when x→∞ or x→ -∞.
2)
a 9th degree polynomial with a negative leading coefficient.
As the degree of the polynomial is odd and also the leading coefficient is negative.
Hence when x→ ∞ then f(x)→ -∞ since the odd power of x will take it to positive infinity but the negative sign of the leading coefficient will take it to negative infinity.
When x→ -∞ then f(x)→ ∞; since the odd power of x will take it to negative infinity but the negative sign of the leading coefficient will take it to positive infinity.
Hence, when x→ ∞ then f(x)→ -∞
and when x→ -∞ then f(x)→ ∞
Answer:
Alien does not take the sample because alien choose the data of a Government's congress and congress contain less women.
On the other hand general population contain women greater than congress
So as compared to general population confidence interval is not representative.
