Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Step-by-step explanation:
Lets define independent and dependent events first.
<u>Independent events:</u>
The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.
<u>Dependent events:</u>
The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.
Now,
When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.
Hence,
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Keywords: Probability, dependent events
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They are perpendicular. and they both intersect at point B.
So... True, I guess
She saved 64 cents each week since you would simply divide the money by 5 weeks to get the amount of money she gets per week
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
If two triangles are similar, then their side lengths are proportional.
RS / JK = RT / JL
5 / x = 4 / 7
4x = 35
x = 35/4 = 8.75
RT / JL = TS / LK
4 / 7 = 6 / (y + 2)
42 = 4(y + 2)
42 = 4y + 4
4y = 38
y = 38/4 = 9.5
LK = 9.5 + 2 = 11.5 cm
JK = x = 8.75
Hope this helps!
