You add 42 and 16 and then u have 58 dollars/$58
Answer:
Sum of 100 terms of the sequence = 15050
Step-by-step explanation:
Given expression which represents a sequence is,

So the sequence will be,
2, 5, 8, 11, 14..........
So, the given sequence is an arithmetic sequence with,
First term of the sequence 'a' = 2
Common difference 'd' = 5 - 2 = 3
Sum of 'n' terms of an arithmetic sequence is given by,
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Here, n = number of terms
a = first term
d = common difference
= ![\frac{100}{2}[2(2)+(100-1)(3)]](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B2%7D%5B2%282%29%2B%28100-1%29%283%29%5D)
= 50[4 + 297]
= 15050
Therefore, sum of 100 terms of the sequence = 15050
Answer: ( 8.11 , 9.69)
the 95% confidence interval of the true mean weight
= ( 8.11 , 9.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.9
Standard deviation r = 0.9
Number of samples n = 5
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
8.9+/-1.96(0.9/√5)
8.9+/-1.96(0.4025)
8.9+/- 0.79
= ( 8.11 , 9.69)
Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)
Answer:
m∠C = 28.1°
Explanation:
angle m∠C has opposite angle of 16 and hypotenuse of 34
using sine rule:



C = 28.07248°
C = 28.1°