Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
<u>Calculus</u>
Implicit Differentiation
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule:
Chain Rule:
Quotient Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
-xy - 2y = -4
Rate of change of the tangent line at point (-1, 4)
<u>Step 2: Differentiate Pt. 1</u>
<em>Find 1st Derivative</em>
- Implicit Differentiation [Product Rule/Basic Power Rule]:
- [Algebra] Isolate <em>y'</em> terms:
- [Algebra] Factor <em>y'</em>:
- [Algebra] Isolate <em>y'</em>:
- [Algebra] Rewrite:
<u>Step 3: Find </u><em><u>y</u></em>
- Define equation:
- Factor <em>y</em>:
- Isolate <em>y</em>:
- Simplify:
<u>Step 4: Rewrite 1st Derivative</u>
- [Algebra] Substitute in <em>y</em>:
- [Algebra] Simplify:
<u>Step 5: Differentiate Pt. 2</u>
<em>Find 2nd Derivative</em>
- Differentiate [Quotient Rule/Basic Power Rule]:
- [Derivative] Simplify:
<u>Step 6: Find Slope at Given Point</u>
- [Algebra] Substitute in <em>x</em>:
- [Algebra] Evaluate:
Following are the solution parts for the given question:
For question A:
In the given question, we calculate of the confidence interval for the mean weight of shipped homemade candies that can be calculated as follows:
Using the t table we calculate When of the confidence interval:
So confidence interval for the mean weight of shipped homemade candies is between .
For question B:
Here we need to calculate confidence interval for the true proportion of all college students who own a car which can be calculated as
Using the Z-table we found
therefore the confidence interval for the genuine proportion of college students who possess a car is
So the confidence interval for the genuine proportion of college students who possess a car is between
For question C:
- In question A, We are certain that the weight of supplied homemade candies is between 392.47 grams and 427.53 grams.
-
In question B, We are positive that the true percentage of college students who possess a car is between 0.28 and 0.34.
Learn more about confidence intervals:
brainly.in/question/16329412
Answer: 5
Step-by-step explanation:
f(x)=3-x
f(-2)=3-(-2)
f(-2)=3+2
f(-2)=5
Hope this helps!! :)
Please let me know if you have any question
Answer:
y = -3, -4
Step-by-step explanation:
Formula is (b/2)^2
So...
(y+7/2)^2 - 1/4 = 0
Add 1/4 to each side
(y+7/2)^2 = 1/4
Square root...
y+7/2 = +-1/2
Add
y = -3, -4
Answer:
its 6 I'm pretty sure about it