Answer and Step-by-step explanation:
First of all lets define
X to be that the bags do contain large liquid amounts
+ to be that the test is not negative that is positive
From the question,
P(x) = 3/100 = 0.03
P(+|X) = 0.91
P(+|X′) = 0.05
Probability of bag having a positive test =p(+)
= P(+|X) (P(x)) + P(+|X′)(P(X′))
= P(X′)) = 1 – 0.03 = 0.97
Inserting these values into these formulas
0.91)(0,03) + (0.05)(0.97)
= 0.0273 + 0.0485
= 0.0758
The probability of the randomly selected bag having large liqid amount
= P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)
= 0.0273/0.0273+0.0485
= 0.0273/0.0758
= 0.3602
the probability that this bag does not have large liquid amount
= p(X'|+) = 1 - P(X|+)
= 1 - 0.3602
= 0.6398
Answer: 48.84
Step-by-step explanation:
First, find the perimeter of the rectangle. 12+12+3+3=30ft. Next, find the perimeter of the semicircles. You can tell that if you put the semicircles together it would be a full circle. The formula for the perimeter of a circle is r2pi. The radius times 2 would be 6. Pi is approximately 3.14. 6 times 3.14 is 18.84. 18.84+30=48.84ft. Hope this helped :)
Answer:
y = x +1
Step-by-step explanation:
y= mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/ (x2-x1) = 2+4 / 3+3 = 6/6 = 1
from the point -slope equation we have
y-y1 = m* (x-x1)
y-3 = 1* ( x-2)
y= x -2+3
y= x +1
so the slope m=1 and the y-intercept b=1
Answer:
A. 25%
25% is equivalent to 1/4 and when you multiply 75 by 4 you get 300. Which means 75 is equivalent to 1/4 and 1/4 is equivalent to 25%. So the answer is 25%. I'm so sorry if this explanation is bad
Up 2 units = y shifted up by 2:
y = x^2 + 2
to the right 3 units = x shifted right (+) by 3:
y + 3 = x^2 +2
new equation:
y = x^2 - 1
