Answer:
x = 2 or x = 1 or x = -1
Step-by-step explanation:
Solve for x over the real numbers:
x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0
The left hand side factors into a product with three terms:
(x - 2) (x - 1)^3 (x + 1) = 0
Split into three equations:
x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0
Add 2 to both sides:
x = 2 or (x - 1)^3 = 0 or x + 1 = 0
Take cube roots of both sides:
x = 2 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 2 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 2 or x = 1 or x = -1
The percentage by which the cost is increasing will be 75%.
<h3>What is the percentage?</h3>
The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders who want to go to the water slides is found from;
In the year 2000, a house was valued at $60 000.
In 2010, the same house was valued at $80 000.
The percentage value is found as;

Hence the percentage by which the cost is increasing will be 75%.
To learn more about percentages, refer to:
brainly.com/question/13450942
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Step-by-step explanation:
Given that,
a)
X ~ Bernoulli
and Y ~ Bernoulli 
X + Y = Z
The possible value for Z are Z = 0 when X = 0 and Y = 0
and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0
If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,
Therefore Z is a Bernoulli random variable
b)
If X and Y can not be both equal to 1
then,
or 
and 

c)
If both X = 1 and Y = 1 then Z = 2
The possible values of the random variable Z are 0, 1 and 2.
since a Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution
Answer:
At a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would travel 1,333 km.
Step-by-step explanation:
If a kangaroo hops 2 kilometers in 3 minutes, to calculate how much distance this animal hops in 2 minutes, the following calculation should be performed:
2 km / 3 min = 0.666 km per minute (2/3 x 2)
0.666 km per minute x 2 minutes = 1.333 kilometers in 2 minutes (0.666 x 2)
Therefore, at a speed of 2 km every 3 minutes, in 2 minutes the kangaroo would hop 1,333 km.
Answer:
50
Step-by-step explanation: