Answer:
To provide a baseline for judging the survival rates of infants who received whole-body cooling
Step-by-step explanation:
In this case, the purpose of the experiment is to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage.
Then, the proposed method (whole-body cooling) has to be contrasted with the baseline, in this case, the "usual care". If we want to know if this proposed method is statistically better, we have to compare with these baseline with random sampling out of the same population.
If it is not compared to nothing or to a new method, it wouldn't be possible to conclude if the method is better or not than the usual care.
Answer:
13
Step-by-step explanation:
If you look at where $5 crosses the line of best fit, you see it between 12 and 14 ounces. The answer is 13.
Answer: 25 + 3n
Step-by-step explanation:
Hi, the answer is lacking the last part:
<em>Write an expression for the amount of money he makes this week.
</em>
So, to answer this we have to write an expression:
The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.
Mathematically speaking:
25 + 3n
Feel free to ask for more if needed or if you did not understand something.
If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).
Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).
If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.
• Case 1: suppose <em>x</em> < 0. Then
<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = -1/√2 → <em>y</em> = ±1/√2
• Case 2: suppose <em>x</em> ≥ 0. Then
<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)
<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0 → <em>x</em> = 1/√2 → <em>y</em> = ±1/√2
In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.