Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³
Question thirteen is a right angle (because if you plot the pints, it obviously looks like a fit angle)
Question fourteen is c ( because when you plot all the points, the first two options don't make sense if side pq is congruent to qr, then we are left with options c and d. Option d forms a right triangle (and sides pq and qr can't be congruent) . Whereas in option c, it is mathematically possible for pq and qr to be congruent to one another)
Basically, all you have to do is plot the points for both questions and the answer will become obvious)
Each lock costs $1.70
The total profit is 244.8
Answer:
Yes. more than 50% is true.
Step-by-step explanation:
Given that a poll is taken that shows that 795 out of 1500 randomly selected, independent people believe the rich should pay more taxes than they do.
Sample proportion p =
Sample size n = 1500
Hypotheses would be
(Right tailed test at 5% significance level)
Std error of proportion =
Proportion difference = p-P =
Test statistic= p diff/std error =
p value <0.05
Hence reject null hypothesis
There is significant difference in the two proportions and hence a majority (more than 50%) believe the rich should pay more taxes than they do is supported by statistical evidence.