Answer:
The answer to your question is: - 7
Step-by-step explanation:
3125 = (- 1 - 18t) ⁵/³
(3125)³ = ( -1 - 18t)⁵
(3125)³/⁵ = - 1 - 18t
125 = - 1 - 18t
125 + 1 = - 18t
126 = - 18t
t = 126 / -18
t = -7
3125³ = 3.0518 x 10¹⁰
= 125
Which expression has a value of –12?
1 answer:
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Answer:
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.
Also sum of angles in triangle CBD is 180°.
Answer:
First choice:
Explanation:
<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
<u>1. Probability that the first is a man's card</u>
- Number of cards in the hat = 20 (the 20 business card)
- Number of man's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.
<u />
<u>2. Probability that the second is a woman's card</u>
- Number of cards in the hat = 19 (there is one less card in the hat)
- Number of wonan's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/19.
<u>3. Probability that the first is a man's card and the second, a woman's card</u>
<u />
- (1/2) × (10/19) = 5/19
That is the first choice.