Answer:
Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.
Step-by-step explanation:
i) to find the area of a circle or circumference the radius , r, is required.
ii) if we are given the diameter, d. then we have to find the radius, r, by dividing the diameter by 2, that is 
.
iii) area of the circle is given by A = 
iv) circumference of the circle is given by C = 
Therefore it is possible to find the circumference and area of a circle if we are given the radius or diameter of the circle.
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:
-4
Step-by-step explanation:
16-20 = -4
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
