Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<u>Step 2: Evaluate</u>
- [Limit] Simplify:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:
Recall that infinity in the denominator <em>converges</em> to 0. Therefore, we can focus on the first part:
∴ we have found the limit to <em>equal</em> negative infinity.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
I don’t see it, tell me the equation so I can do it!
Answer:
-2/3
Step-by-step explanation:
4+3x=2
3x=2-4
3x=-2
X= - 2/3
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0