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3 years ago

Variables with values that are determined by chance are called _____________.

Mathematics

2 answers:

viktelen [127]3 years ago

8 0

The correct answer is: [C]: "random variables."
__________________________________________________________

devlian [24]3 years ago

5 0

Answer: C. Random Variable.

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Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.

nikdorinn [45]

Answer:

The equation does not have a real root in the interval $\rm [0,1]$

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if $f$ is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in $\rm [0,1]$ , which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval $\rm [0,1]$ , which means to evaluate the equation in 0 and 1:

$f(x)=x^3-3x+8\\f(0)=8\\f(1)=6$

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval $\rm [0,1]$ . I attached a plot of the equation in the interval $\rm [-2,2]$ where you can clearly observe how the graph does not cross the x-axis in the interval.

6 0

3 years ago

PLZZZZZZ IL do anything give brainilest 5 star i'll like My grade depends on this PLEASE I NEED THIS TO BE CORRECT AND SHOW YOUR

sesenic [268]

Answer:

$195.00

Step-by-step explanation:

perimeter is 54 feet

area is 152 $ft^{2}$

54' * $1.50 = $81.00

152/8 = 19 bags of mulch needed

19*$6.00= $114.00

$195.00 you get away from the store for under 200 :P

P.S. since you said you'll do anything, send me $1,000,000.00 dollars :D

8 0

3 years ago

Please help asap will give brainlist

vagabundo [1.1K]

Answer:

Both are equations, one is linear, one is not linear boom

Step-by-step explanation:

4 0

3 years ago

Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.