Sum of the first 8 terms in an arithmetic sequence is 304.
Given that, 
and 
.
<h3>What is sum of arithmetic sequence?</h3>
The sum of the arithmetic sequence formula is defined as the formula to calculate the total of all the terms present in an arithmetic sequence.
The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ).
Now, sum of the first 8 terms in an arithmetic sequence is
(8/2).(2+74)
=4×76
=304
Therefore, sum of the first 8 terms in an arithmetic sequence is 304.
To learn more about an arithmetic sequence visit:
brainly.com/question/15412619.
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Answer:
w = 16
EQUATION: (96 - 32 × 2) ÷ 2 = w ⇆ USE PEMDAS
Step-by-step explanation:
32 + 32 = 64
96 - 64 = 32
32 ÷ 2 = 16
w = 16
brainliest please
Answer:
5 basketballs and 2 soccer balls
Step-by-step explanation:
5 times 20= 100
2 times 18= 36
equals 136
4 basketballs and 6 soccer balls- wrong-185
2 basketballs and 7 soccer balls-wrong-166
6 basketballs and 5 soccer balls- wrong- over 200
Answer:
![P[at\ least\ 1] = 0.9961](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%200.9961)
Step-by-step explanation:
Given
Required
Probability that s/he gets at least one correctly
First, we calculate the probability of answering a question correctly
Since, there are just 2 choices (true or false), the probability is:
Similarly, the probability of answering a question, wrongly is:
The following relationship exists, in probability:
![P[at\ least\ 1] = 1 - P[none]](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20P%5Bnone%5D)
So, to calculate the required probability.
First, we calculate the probability that he answers none of the 8 questions correctly.
![P[none] = p(wrong)^8](https://tex.z-dn.net/?f=P%5Bnone%5D%20%3D%20p%28wrong%29%5E8)
![P[none] = (\frac{1}{2})^8](https://tex.z-dn.net/?f=P%5Bnone%5D%20%3D%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E8)
Substitute in
![P[at\ least\ 1] = 1 - (\frac{1}{2})^8](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E8)
![P[at\ least\ 1] = 1 - \frac{1}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%201%20-%20%5Cfrac%7B1%7D%7B256%7D)
Take LCM
![P[at\ least\ 1] = \frac{256 - 1}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%20%5Cfrac%7B256%20-%201%7D%7B256%7D)
![P[at\ least\ 1] = \frac{255}{256}](https://tex.z-dn.net/?f=P%5Bat%5C%20least%5C%201%5D%20%3D%20%5Cfrac%7B255%7D%7B256%7D)
<em></em>
<em>Hence, the probability that s/he gets at least one correctly is 0.9961</em>
Answer:
t = d/r
Step-by-step explanation:
Given the equation, d = rt for <em>t</em><em>:</em>
Switch sides:
rt = d
Divide both sides by r to isolate<em> t</em>:<em> </em>
t = d/r
