Sine (34) = opposite / 99
opposite side = .55919 * 99
opposite side =
<span>
<span>
<span>
55.35981
</span>
</span>
</span>
Adjacent side² = 99² - 55.35981²
Adjacent side² =
<span>
<span>
</span></span>
<span>
<span>
<span>
9,801
</span>
</span>
</span>
-<span><span><span>3,064.7085632361
</span>
</span>
</span>
<span><span><span>Adjacent side² =
6,736.29
</span>
</span>
</span>
Adjacent side =
<span>
<span>
<span>
82.0749
</span></span></span>
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
These three roots are sufficient to enable us to form a 3rd degree polynomial:
f(x) = (x+4)(x-4)(x-2) = (x^2 - 16)(x-2) = x^3 - 2x^2 - 16x + 32 (answer)
Answer: There are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
Step-by-step explanation:
Let x be the number of streets named as First Street .
y be the number of streets named as Main Street.
AS per the given information, we have the following system of equations :
Substitute the value of x from (2) in (1) , we get
Put value of y in (2), we get
Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as "Main Street" .
The slope-intercept form:
The formula of a slope:
We have the points (-4, 47) and (2, -16). Substitute:
Therefore we have:
Put the coordinates of the point (2, -16) to the equation:
Answer: 
