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 />
That is the first choice.
Answer:
99.7%
Step-by-step explanation:
Given that mean (μ) = 394.3 ms and standard deviation (σ) = 84.6 ms.
The empirical rule states that for a normal distribution:
- 68% falls within one standard deviation (μ ± σ)
- 95% falls within two standard deviation (μ ± 2σ)
- 99.7% falls within three standard deviation (μ ± 3σ)
one standard deviation = 394.3 ± 84.6 = (309.7, 478.9). 68% falls within 309.7 and 478.9 ms
two standard deviation = 394.3 ± 2 × 84.6 = (225.1, 563.5). 95% falls within 225.1 and 563.5 ms
three standard deviation = 394.3 ± 3 × 84.6 = (140.5, 648.1). 99.7% falls within 140.5 and 648.1 ms
Answer:
2:5
Step-by-step explanation:
Since there are 2 nickles and 5 quarters there are 2 nickles for every 5 quarters so answer is 2:5
the first simple interest will be $1.73 more than the second one.
<h3>
Which is the difference between the two interests?</h3>
The loan is of $575, and there are two options:
7 years at 4.5% or 8 years at 3.9%
Remember that the simple interest formula is:
SI = (P*R*T)/100
Where:
P = principal value.
R = rate (this is the percentage per year)
T = time, in years.
Then for the first option. the interest will be:
SI = ($575*4.5*7)/100 = $181.13
For the second option we will have the interest:
SI' =( $575*3.9*8)/100 = $179.4
The difference is:
$181.13 - $179.4 = $1.73
This means that the first simple interest will be $1.73 more than the second one.
If you want to learn more about simple interests:
brainly.com/question/20690803
#SPJ1
Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2 = 0.125
0.125 as a decimal is 1/8
