Answer:
Right of X = 635.5
Step-by-step explanation:
By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.
According to the rule of continuity;
P(X ≤ k) becomes P( X ≤ K + 0.5)
P(X < K) becomes P(X < K - 0.5)
P(X ≥ K) becomes P(X ≥ K - 0.5)
P(X > K) becomes P(X > K + 0.5)
P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)
From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.
Then we use the > sign.
∴
P(X > K ) becomes P(X > K + 0.5)
P(X > 635) becomes P(X > 635 + 0.5)
⇒ P(X > 635.5) tot the right.
Right of X = 635.5
Answer: The equation doesn't look right, it's either there's too many symbols or you need to switch some things around.
Step-by-step explanation:
You can observe that angle 1 and angle with 47° are inside a parallelogram.
Consider that the sum of the internal angles of a parallelogram is 360°.
Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.
Consider that angle down right side is congruent with angle 1, then, they have the same measure.
You can write the previous situation in the following equation:
47 + 47 + ∠1 + ∠1 = 360 simplify like terms
94 + 2∠1 = 360 subtract both sides by 94
2∠1 = 360 - 94
2∠1 = 266 divide by 2 both sides
∠1 = 266/2
∠1 = 133
Hence, the measure of angle 1 is m∠1 = 133°
I believe it would be (-2,-2) i may be wrong though i dont have my graphing papers
Answer:

General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:

Derivative Property [Addition/Subtraction]:

Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
Integration Rule [Reverse Power Rule]:

Integration Property [Multiplied Constant]:

Integration Methods: U-Substitution and U-Solve
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Integrate Pt. 1</u>
<em>Identify variables for u-substitution/u-solve</em>.
- Set <em>u</em>:

- [<em>u</em>] Differentiate [Derivative Rules and Properties]:

- [<em>du</em>] Rewrite [U-Solve]:

<u>Step 3: Integrate Pt. 2</u>
- [Integral] Apply U-Solve:

- [Integrand] Simplify:

- [Integral] Rewrite [Integration Property - Multiplied Constant]:

- [Integral] Apply Integration Rule [Reverse Power Rule]:

- [<em>u</em>] Back-substitute:

∴ we have used u-solve (u-substitution) to <em>find</em> the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration