Answer:
Mean: 49
Mode: none, since all the numbers only appear once
Median: 48
Range: 69
Step-by-step explanation:
53+64+19+25+88+48+46 = 343
343/7= 49 (mean)
19, 25, 26, 48, 53, 64, 88 (middle number is 48, so the median is 48)
Range= largest number-smallest number
88-19= 69 (range)
Answer:
64.65% probability of at least one injury commuting to work in the next 20 years
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Each day:
Bikes to work with probability 0.4.
If he bikes to work, 0.1 injuries per year.
Walks to work with probability 0.6.
If he walks to work, 0.02 injuries per year.
20 years.
So

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

We want
. Then

In which



64.65% probability of at least one injury commuting to work in the next 20 years
Here's why:
<span>Say the 5 people are A, B, C, D, E </span>
<span>A shakes hands w/ B C D E </span>
<span>B shakes w/ C D E </span>
<span>C with D E </span>
<span>D with E </span>
<span>That's 10</span>
Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Express in simplest a+bi form: Square root of 1b + Square root of -1b

Lets simplify 
We know 

We cannot simplify 


So a + ib form is 