Answer:
No.
Step-by-step explanation:
Take the second expression: 5(2 - 20)
To solve, you must distribute the 5 to all terms within the parenthesis:
5(2 - 20) = (5 * 2) - (5 * 20) = 10 - 100 = -90
On the other hand:
10 - 20 = -30
∴ the two expressions are not equivalent.
The series is a geometric series and the sum of the first 8 terms of the series 48, 60, 75 is 952.32
<h3>How to determine the sum of the first 8 terms?</h3>
The series is given as:
48, 60, 75
The above series is a geometric series with the following parameters:
First term, a = 48
Common ratio, r = 1.25
The sum of n terms is:
So, we have:
Evaluate
Hence, the sum of the first 8 terms of the series is 952.32
Read more about series at:
brainly.com/question/6561461
#SPJ1
The final probability is the weighted average of the playing probabilities calculated over the possible weather options:
P(john practices cello; given that it rains) * P(it rains) +
P(john practices cello; given that it does not rain) * P(it does not rain) =
0.6 * 0.7 + 0.4 * 0.3 = 0.54
The probability is 54%
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN