Answer: shorter: 24 longer: 41
Step-by-step explanation: we need to write an equation. x+(2x-7)=65. We don’t need the parentheses, but I put them so it would make it a bit more clear. Simplify: 3x-7=65. Add 7 to both sides: 3x=72. Divide by three: 72/3=24 Now we know the shorter piece is 24. 24x2-7=48-7=41. We know these are correct because 24+41=65
For this case we have the following equation:
x ^ 2 + 18x + 32 = 0
Rewriting we have:
x ^ 2 + 18x = -32
By completing squares we have:
x ^ 2 + 18x + (18/2) ^ 2 = -32 + (18/2) ^ 2
Rewriting:
x ^ 2 + 18x + (9) ^ 2 = -32 + (9) ^ 2
x ^ 2 + 18x + 81 = -32 + 81
x ^ 2 + 18x + 81 = 49
(x + 9) ^ 2 = 49
Answer:
(x + 9) ^ 2 = 49
option 1
The mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively
<h3>How to determine the mean and the standard deviation?</h3>
From the complete question, we have:
P(boy)= 0.5
Sample size = 950
The mean is then calculated as:
This gives
Evaluate
The standard deviation is calculated as:
This gives
Evaluate
Hence, the mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively
Read more about mean and standard deviation at:
brainly.com/question/4079902
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2(4+2) so the answer is 12
