Answer:
3 cones
Step-by-step explanation:
It is given that there is a cylindrical shaped can and also a coned shaped paper cup. The radius and height of both the cylindrical can and the cone shaped paper cup are same.
So when we fill the cylindrical can with the full coned paper cup, it will take three cones of the paper cup to fill the can with water. This because the volume of a cone is 
of the volume of a cylinder that have the same base radius and height.
Well first you need to find the LCM (least common multiple) of 4 and 6 (the denominators) so that you can subtract them from each other.
4: 4,8,12,16,20
6: 6, 12, 18, 24
The LCM is 12.
Now we can subtract the two mixed numbers by turning them into improper fractions.
5 3/12 -> 27/12
3 10/12 -> 42/12
42-27=15
The fraction is 15/12, which simplifies into 1 1/4.
She cut off 1 1/4 feet of the board.
The scientific notation for this is :-6x10⁷
Answer:
(0.8165 ; 0.8819)
Lower boundary = 0.8165
Upper boundary = 0.8819
Step-by-step explanation:
Given :
Sample proportion. Phat = x/ n = 276/ 325 = 0.8492
Confidence interval :
Phat ± margin of error
Margin of Error = Zα/2* [√Phat(1 - Phat) / n]
Phat ± Zα/2* [√Phat(1 - Phat) / n]
The 90% Z critical value is = 1.645
0.8492 ± 1.645*[√0.8492(1 - 0.8492) / 325)
0.8492 ± 1.645*[√0.8492(0.1508) / 325]
0.8492 ± 1.645*√0.0003940288
0.8492 ± 0.0326535
Lower boundary = 0.8492 - 0.0326535 = 0.8165
Upper boundary = 0.8492 + 0.0326535 = 0.8819
Confidence interval = (0.8165 ; 0.8819)
