ANSWER
EXPLANATION
The given sequence is
3,-5,-13,.....-229.
The first term of this sequence is
a_1=3
There is a common difference of
The last term of this sequence is -229.
The nth term of this sequence is given by:
We use the last term to determine the number of terms in the sequence.
Divide through by -8;
Hence there are thirty terms in the sequence.
The sum of the first n terms is given by:
The sum of the first 30 terms is given by:
Answer:
Interest rate is 5.25% a year.
Step-by-step explanation:
r = (1/54)((22252.5/18000) - 1) = 0.004375
r = 0.004375
Convert decimal to percentage
R = 0.004375 * 100 = 0.4375%/month
Calculate annual rate
0.4375%/month × 12 months/year = 5.25% per year.
Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
- Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces
Therefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
- Thus, Margin of error =
× σ / √n ( at α=.010 is 1.645)
Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces
(0.6x^4)(0.2x^6)
<span>
=<span><span>0.6<span>x^4</span></span>*<span>0.2<span>x^6</span></span></span></span><span>
=<span><span><span>0.6*<span>x^4</span></span>*0.2</span>*<span>x^6</span></span></span><span>
=<span><span>(<span>0.6*0.2</span>)</span>*<span>(<span><span>x^4</span>*<span>x^6</span></span>)</span></span></span><span>
=<span>0.12*<span>x^10</span></span></span><span>
=<span>0.12<span>x^<span>10</span></span></span></span>
Answer:
3(x-9)
when you distribute the equation you get
3(x)-3(9) which is the last answer
Step-by-step explanation:
