Answer:
The probability that Jones is lying is 6/7
Step-by-step explanation:
First we will list out 2 different cases when the outcome is a lie
1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8
So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48
2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie
So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08
Total probability of outcome being a lie is 0.48+0.08=0.56
But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7
Answer:
56.3 kilometers per hour
Step-by-step explanation:
We know D = RT
where
D is distance
R is rate (speed)
T is time
Let's Bill's rate be "x". Thus using equation we can write:
D = xt
We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:
D = (21.1 + x)t
D = 21.1t + xt
Now, putting t = 1 in both since after 1 hour given, we have:
D = x(1)
D = x
and
D = 21.1(1) + x(1)
D = 21.1 + x
We know the sum of both the distance is 133.7, so we can write:
x + 21.1 + x = 133.7
Solving for x:
2x = 133.7 - 21.1
2x = 112.6
x = 112.6 / 2
x = 56.3 km/hr
This is Bill's rate: 56.3 kilometers per hour
<u>Answer:
</u>
The value of the exponential expression 
is 2
<u>Solution:</u>
16 superscript one-fourth=
As per the problem,
We have to find the value of
16 in terms of 2 can be written as 
= 
=
As per the exponential rule, 
=
Here, 
= 
= 2
Hence, the value is 2.
Answer:1331cm
Step-by-step explanation:vol=lbh
11*11*11cm=1331cm
Answer:
The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)
Step-by-step explanation:
Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).
![3[x+12x-15]=15x-24](https://tex.z-dn.net/?f=3%5Bx%2B12x-15%5D%3D15x-24)
. We can simplify a bit more now inside the brackets like this: ![3[13x-15]=15x-24](https://tex.z-dn.net/?f=3%5B13x-15%5D%3D15x-24)
. Now distribute the 3 to get 39x - 45 = 15x - 24. That's your answer. The third one out of the 4 you have there.