Answer:
- 7 ; 7 pounds loss in weight.
Step-by-step explanation:
Given that :
Week ______ weight loss/ gain
1 ____________ - 2
2 ____________ - 6
3 ____________ + 7
4 ____________ - 6
Loss in weight is denoted by a negative sign;
The change in weight is the net sum of weight loss over the 4 weeks period
(-2) + (-6) + (7) + (-6)
-2 - 6 + 7 - 6 =-7
Hence, there is a 7 pounds loss in weight over the 4 weeks period.
Answer:
<u>B (110)</u>
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set.
150 - 40 = 110
110 is the answer
Answer:
r=3 where r is the common ratio
Step-by-step explanation:
The sum of geometric progression for n terms is given by:
, where
is the
first term of the series and r is the common ratio.
Now, according to the question, there are four terms and they form a geometric progression. So sum of four terms is given as
and
.
Also according to the above formula:
![S_{4}=a_{1} ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=S_%7B4%7D%3Da_%7B1%7D%20%28%201-r%5E%7B4%7D%29%2F%201-r)
Using the values as given in the question into the above equation we get:
![1+r =1/10 ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=1%2Br%20%3D1%2F10%20%28%201-r%5E%7B4%7D%29%2F%201-r)
![(1+r)(1-r)=1/10 ( 1-r^{4})](https://tex.z-dn.net/?f=%281%2Br%29%281-r%29%3D1%2F10%20%28%201-r%5E%7B4%7D%29)
[ Using formula
]
![(1-r^{2})=1/10 ( 1-r^{2})(1+r^{2})](https://tex.z-dn.net/?f=%281-r%5E%7B2%7D%29%3D1%2F10%20%28%201-r%5E%7B2%7D%29%281%2Br%5E%7B2%7D%29)
![10=(1+r^{2})](https://tex.z-dn.net/?f=10%3D%281%2Br%5E%7B2%7D%29)
![10-1=(r^{2})](https://tex.z-dn.net/?f=10-1%3D%28r%5E%7B2%7D%29)
![\sqrt{9}=(r)](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%3D%28r%29)
which is the required answer.
Answer:
Step-by-step explanation:
55