1.20(35)
this would be the same as :
(1 + 0.2)* 35 <==
or it also could have been 35 + 0.20(35)
2.5 ft times 18 balloons equals to 45 ft of ribbon
Answer:
5184
Step-by-step explanation:
9 squared is 81 (9 x 9)
8 squared is 64 (8 x 8)
64 x 81 is 5184
Answer: (a) 0.344578
(b) 0.211855
Step-by-step explanation: Let X represent Jill's score and Let Y represent Jack's score.
Jill's scores are approximately normally distributed with mean 170 and standard deviation 20 implies :
X ≈(170 ,
)
Also , since Jack's scores are approximately normally distributed with mean 160 and standard deviation, it implies
Y ≈ ( 160 ,
).
It is given that their scores are independent which means that the outcome one one will not affect the outcome of the other, we the have:
Y - X ≈ N(-10 ,
+
)
Y - X ≈ N(-10 ,625 )
Also , Y + X ≈ N ( 330 , 625 )
(a) We need to find the approximate probability that Jack's score is higher , that is
P ( Y > X)
=P(Y - X >0)
= P (
> ![\frac{10}{\sqrt{625} }](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B%5Csqrt%7B625%7D%20%7D)
= 1 - Ф(
)
= 1 - Ф(
)
= 1 - Ф ( 0.4)
= 1 - 0.655422
= 0.344578
P ( Y > X) ≈ 0.345
(b) We need to calculate the approximate probability that their total score is above 350 , that is
P ( X + Y > 350)
= P (
>
)
= 1 - Ф(
)
= 1 - Ф ( 0.8)
= 1 - 0.788145
= 0.211855
P ( X + Y > 350)≈ 0.212
Answer:
= 2700
Step-by-step explanation:
1300+700+700