Answer:
3 * 10^-3
Step-by-step explanation:
It is to the negative third power because the decimal needs to move in front of the 3.
Answer:
x = 60°
Step-by-step explanation:
The circle is 360°, thus
2y + y = 360
3y = 360 ( divide both sides by 3 )
y = 120°
The tangent- secant angle ABT is one half the measure of the intercepted arc AB, thus
x = 0.5 × 120° = 60°
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: Looks like choice B would be the best description of an output.. Usually, output refers to the dependent value of a function rule. It is also correct that the y coordinate of ordered pairs, graphed points, and in a function table.
Step-by-step explanation: I got this from a friend, hope it helps!
Answer:
Solve for x: -5/6x= -10/3 x=?
x = 1/4
Step-by-step explanation:
from the equation ,Solve for x: -5/6x= -10/3 , to solve for x we will first cross multiply
we have; -15= -60x
divide both sides by -60
-15/-60 = -60x/-60
x = 15/60 ( the minus will cancel out)
x = 1/4
check for your answer by putting 1/4 where you see x
i.e -5/6(1/4) = -10/3
-5 × 2/3 = -10/3
-10/3 = -10/3......... proved!!
