Answer:
(2x + 5)(2x + 1).
(6x - 5)(2x + 1).
Step-by-step explanation:
4x^2 + 12x + 5.
Use the 'ac' method:
a * c = 4 * 5 = 20 so we need 2 numbers whose product is 20 and whose sum is +12.:- 2 and 10 look good, so we write:
4x^2 + 2x + 10x + 5
Now we factor by grouping:-
= 2x(2x + 1) + 5(2x + 1)
= (2x + 5)(2x + 1) (answer).
12x^2 - 4x - 5
ac = 12*-5 = - 60 and we need 2 numbers sum to -4 . these numbers could be -10 and + 6:
12x^2 + 6x - 10x - 5
= 6x(2x + 1) - 5(2x + 1)
= (6x - 5)(2x + 1) (answer).
Answer:
0.0259,0.0406
Step-by-step explanation:
Given that in a poll taken in December 2012, Gallup asked 1006 national adults whether they were baseball fans: 48% said they were. Almost five years earlier, in February 2008, only 35% of a similar-size sample had reported being baseball fans.
a) p is the proportion of national adults who are baseball fans.
b) For 2012 poll, p=0.48
Std error = 
Margin of error at 90% = 1.645 * std error
= 0.0259
c) Margin of error is the admissible limit on either side of the mean where the sample mean can lie
d) Margin of error would be larger for 99% because critical value 2.58 >1.645
e) Margin of error 99% = 
Answer:
Volume of the hemisphere = 
Step-by-step explanation:
It's a picture of a globe and a globe of the Earth is in the shape of a sphere.
We know equator divides the earth into two equal halves and these equal halves are called as "hemisphere".
Therefore, a line joining the two extreme points of the diameter of the Earth divides the Earth into two hemispheres.
If the radius of the Earth is 'r',
Volume of the hemisphere = 