In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
$125.4 is the answer to #1
#2 im not sure how the 10% effects the problem. so i cant help you there
Answer:
D - It is impossible to make a judgment with the given information.
Step-by-step explanation:
The fact that 1200 births were randomly selected and only 599 of such picks are girls does not give enough information on whether the birth is significantly high, low or neither. We must have other information to test for significance of the births proportion.
All we know is that;
Proportion of girls birth (p) = 599/1200 = 0.499. And by default, the proportion of male births (q) will be 1-p = 1-0.499 = 0.501.
If we examine the proportion closely, there seems to be no significant difference in the birth proportion.
Having said this, we cannot really imply that, the number of girls is significantly high. Or the number of girls is neither significantly low nor significantly high. Or the number of girls is significantly low.
The best subjective submission will be that, <em>there is no significant difference between girls birth and males birth.</em> The question of high or low (an alternative hypothesis) requires some further statistical test and this question does not provide further details.
Answer:
Step-by-step explanation:
Surface area of cylinder = 2πr(h + r)
Volume of cylinder = πr²h
Given that S.A = Volume of the cylinder, therefore, we have:
2πr(h + r) = πr²h
Radius (r) is given as 2.5 cm
height (h) = x cm
Input the values and solve for x
2πr(h + r) = πr²h
2πr(h + r) = πr(rh)
2(h + r) = rh (πr cancels πr)
Subtract 2x from both sides
Divide both sides by 0.5
