20 - 21 - 10 + 5x +1= 0
5x = 10
x = 2
The function that best defines this arithmetic sequence is:
<h3>What is an arithmetic sequence?</h3>
- In an <em>arithmetic sequence,</em> the <u>difference between consecutive terms is always the same</u>, called common difference d.
The recursive function that defines the sequence is:
- In which
is the first term.
In this problem, the sequence is: {9, 5, 1, -3}
- Each term is the previous term subtracted by 4, hence
.
- The first term is 9, hence
.
Hence, the function is:
You can learn more about arithmetic sequences at brainly.com/question/6561461
You need two pieces and 1 has to be 2x longer than the other
set x as the smaller piece (easier to always go with the smaller value as x)
the other piece is 2x (double in size)
your equations would be 3x=240>>> x= 60
so smaller piece/ x= 60
bigger piece/ 2x= 120
Here you are. you can see my explication.
have fun
Answer:
Step-by-step explanation:
Hello!
X: the lifespan of a new computer monitor of Glotech.
The average life is μ= 85 months and the variance δ²= 64
And a sample of 122 monitors was taken.
You need to calculate the probability that the sample mean is greater than 86.6 months.
Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)
To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)
P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)
1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355
The probability of the sample mean is greater than 0.013355
I hope this helps!
