The converse of the statement is "If Gus buys the Churros then Shawn solves the case". The converse of statement is simply reversal of the hypothesis and the conclusion. In the given statement, the hypothesis was "If Shawn solves the case". The conclusion was "Gus buys the Churros".
7:2 least
10:5
12:4
20:6
21:14 greatest
4+96=100 when you follow PEMDAS
1cm : 3m
to get from 12m to 3m you have to divide by 4, so if:
3 x 4 = 12
then you do the same to the 1cm and you get:
1 x 4 = 4
Therefore:
1cm : 3m
4cm : 12cm
the model is 4cm
the answer is the above in bold
hope it helped :)
and sry if my explanation wasn't detailed enough or if i misunderstood the question
Given that mean=3750 hours and standard deviation is 300:
Then:
<span>a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-</span>μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033
<span>b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062
c. </span><span>.What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000</span>
