Answer:
Step-by-step explanation:
When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"
To find the distance we can use the Pythagorean theorem.
→ 
→ 
→ 
<u>Let's Plug in the side lengths:</u>
<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>
<u>Now, add 81+4= 85</u>
<u>Take the square root of both sides:</u>
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The store clerk gave the customer:
Gas. . . . . . . . . 17.01
$5 ticket . . . . . . 5
$3 ticket . . . . . . 3
2 x $1 ticket . . . 2
Total. . . . . . . $27.01
The customer gave the store clerk:
$5 ticket . . . 5
$2 ticket . . . 2
cash. . . . . 100
Total. . . . $107
The store clerk owes the customer ($107 - $27.01) = $ 79.99 .
Answer:
216
Step-by-step explanation:
I'm sure there is a simpler way to do this but this is how I did it.
First divide 18 by 6 because it triples every 6 hours.
18/6=3
This means it will triple three times
Then triple the value three times
#1. 8x3=24
#2. 24x3=72
#3. 72x3=216
In 18 hours the virus will infect 216 people.
The confidence interval is
We first find p, our sample proportion. 118/200 = 0.59.
Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.
The margin of error (ME) is given by
This gives us the confidence interval
