7. a
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Circumference = 2πr
So, circumference of this circle
= 2πr
= 2 × 3.14 × 8 feet
= 3.14 × 16 feet
= 50.24 feet
b.
Given,
Diameter = 16 feet
So, radius = 16 feet/2 = 8 feet
Area = πr²
So, area of this circle
= 3.14 × (8 feet)²
= 3.14 × 64 feet²
= 200.96 feet²
Answer:
Step-by-step explanation:
1 yard = 3 feet
11 feet * (1 yard)/(3 feet) =11/3 yards = 3⅔ yards
Javon can cut three one-yard pieces. ⅔ yard is left over.
Answer:
a) 0.2416
b) 0.4172
c) 0.0253
Step-by-step explanation:
Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .
denoting event a A=the test proves correct and B=the river is polluted
a) the test indicates pollution when
- the river is polluted and the test is correct
- the river is not polluted and the test fails
then
P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416
b) according to Bayes
P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)
then
P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172
c) since
P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+ 0.16*0.12 = 0.7584
the rate of false positives is
P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253
Answer:
It is 18
Step-by-step explanation:100-82=18
10-6v+9v=28
10+3v=28
-10 -10
3v=18
3 3
v=6
