Answer:6500.00
Step-by-step explanation:
If we're talking about the hundreds, that will be the third digit to the left of the decimal. 8 is greater than 5 so we're rounding up, making 485.91 500, so your answer is 6500
Answer:
First take lcm and see your answer
The nth term of the arithmetic series is given by
![a_n=-5(n-1)+8](https://tex.z-dn.net/?f=%20a_n%3D-5%28n-1%29%2B8%20)
Now find the first five terms ![a_1, a_2, a_3, a_4, a_5:](https://tex.z-dn.net/?f=%20a_1%2C%20a_2%2C%20a_3%2C%20a_4%2C%20a_5%3A%20%20)
![a_1=-5(1-1)+8=8](https://tex.z-dn.net/?f=%20a_1%3D-5%281-1%29%2B8%3D8%20)
![a_2=-5(2-1)+8=3](https://tex.z-dn.net/?f=%20a_2%3D-5%282-1%29%2B8%3D3%20)
![a_3=-5(3-1)+8=-2](https://tex.z-dn.net/?f=%20a_3%3D-5%283-1%29%2B8%3D-2%20)
![a_4=-5(4-1)+8=-7](https://tex.z-dn.net/?f=%20a_4%3D-5%284-1%29%2B8%3D-7%20)
![a_5=-5(5-1)+8=-12](https://tex.z-dn.net/?f=%20a_5%3D-5%285-1%29%2B8%3D-12%20)
Thus the first five terms of the series is ![8,3,-2,-7,-12.](https://tex.z-dn.net/?f=%20%208%2C3%2C-2%2C-7%2C-12.%20%20)
Now find the partial sum of the series:
![S_1=a_1=8](https://tex.z-dn.net/?f=%20S_1%3Da_1%3D8%20)
![S_2=a_1+a_2=8+3=11](https://tex.z-dn.net/?f=%20S_2%3Da_1%2Ba_2%3D8%2B3%3D11%20)
![S_3=a_1+a_2+a_3=8+3-2=9](https://tex.z-dn.net/?f=%20S_3%3Da_1%2Ba_2%2Ba_3%3D8%2B3-2%3D9%20)
![S_4=a_1+a_2+a_3+a_4=8+3-2-7=2](https://tex.z-dn.net/?f=%20S_4%3Da_1%2Ba_2%2Ba_3%2Ba_4%3D8%2B3-2-7%3D2%20)
![S_5=a_1+a_2+a_3+a_4+a_5=8+3-2-7-12=-10\\](https://tex.z-dn.net/?f=%20S_5%3Da_1%2Ba_2%2Ba_3%2Ba_4%2Ba_5%3D8%2B3-2-7-12%3D-10%5C%5C%20%20)
Answer:
7
Step-by-step explanation:
Convert 87.5% to a decimal.
87.5%/100%=.875
Multiply it with 8 to get 7
.875*8=7
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