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.
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<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>
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That is the first choice.
Answer:
<h2>231in^3</h2>
Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4
/3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4
/3π(3.8)^3
V=4
/3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
To find the surface area, multiply length x width x height.
let "length" = l
l x 32 x 36 = 4344
Simplify
l x (32 x 36) = 4344
l x 1152 = 4344
Isolate the length. Divide 1152 from both sides
(l x 1152)/1152 = (4344)/1152
l = 4344/1152
l = 3.77 (rounded)
3.77 cm is your length.
hope this helps
Written out that's 2x-7 is greater than or equal to 41. Add 7 to both sides to get 2x is greater than or equal to 48. Divide both sides by 2 to get that x is greater than or equal to 24.
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