We are given here that a blackjack hand consists of:
1 of the 4 aces = 4 / 52
1 of the 16 cards worth 10 points (10, jack, queen, king)
= 16 / 52
So assuming that cards are dealt without replacement,
therefore the probability of getting a blackjack hand is:
<span>P = 1st is ace * 2nd is 10 pt card +
1st is 10 pt card * 2nd is ace</span>
P = (4 / 52) * (16 / 51) + (16 / 52) * (4 / 51)
P = 0.04827 = 4.83%
Therefore there is a 4.83% probability to get a blackjack
hand.
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Answer:
Option (B)
Step-by-step explanation:
x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5
- (<u>x³ + x² - x</u>)
5x² + x + 5
-(<u>5x² + 5x - 5)</u>
-4x + 10
Result : 
By the comparing the result with the Lorie's solution,
She made a mistake in the last step in which she combined the constant incorrectly.
Therefore, Option (B) will be the answer.
A(n) = –3 • 2⁽ⁿ⁻¹⁾
for n = 1 , A₁ = -3.(2)⁰ = -3
for n = 2 , A₂ = -3.(2)¹ = -6
for n = 3 , A₃ = -3.(2)² = -12
for n = 4 , A₄ = -3.(2)³ = -24
...........................................
for n = 8 , A₈ = -3.(2)⁷ = -384
Given: AD ≅ BC and AD ∥ BC
Prove: ABCD is a parallelogram.
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. given
2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram 7. parallelogram side theorem
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Change in snow = 2 - 1.6 = 0.4 ft
-> percent change = 0.4/2 * 100% = 0.2 * 100% = 20%
