Answer:
the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4
Step-by-step explanation:
Let x and y represent jan and Bev's average walk rate.
Also t represent the time taken for Bev to walk 4 miles, so it will take jan 2t time to walk 6 miles
Given that;
It takes Jan twice as many hours to walk 6 miles as it takes Bev to walk 4 miles
For Bev;
y = 4/t
For Jan;
x = 6/(2t) = 3/t
the ratio of Jan's average walking rate to Bev's average walking rate is;
x/y = (3/t)/(4/t) = 3/4
the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4
Answer:
0.6 liters left
Step-by-step explanation:
So we know that the container is filled with 2 liters.
We also know that he poured 1.4 liters out of the container.
This leads to the conclusion
2 - 1.4 = 0.6
Answer: 0.31 or 31%
Let A be the event that the disease is present in a particular person
Let B be the event that a person tests positive for the disease
The problem asks to find P(A|B), where
P(A|B) = P(B|A)*P(A) / P(B) = (P(B|A)*P(A)) / (P(B|A)*P(A) + P(B|~A)*P(~A))
In other words, the problem asks for the probability that a positive test result will be a true positive.
P(B|A) = 1-0.02 = 0.98 (person tests positive given that they have the disease)
P(A) = 0.009 (probability the disease is present in any particular person)
P(B|~A) = 0.02 (probability a person tests positive given they do not have the disease)
P(~A) = 1-0.009 = 0.991 (probability a particular person does not have the disease)
P(A|B) = (0.98*0.009) / (0.98*0.009 + 0.02*0.991)
= 0.00882 / 0.02864 = 0.30796
*round however you need to but i am leaving it at 0.31 or 31%*
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Answer:
so 2x+3x+130=180
so 5x+130=180
5x=50
so 2x =20
3x which is angle a is equal to 30 degree
A central angle in a circle with a radius of 7in. intercepts an arc with a length of 9in. What is the radian measure of the central angle?