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Alja [10]
2 years ago
4

The value 5 is an upper bound for the zeros of the function shown below.

Mathematics
1 answer:
Naily [24]2 years ago
3 0

Explanation:

According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.

Given:  f(x) = x⁴ + x³ - 11x² - 9x + 18

From the calculator, obtain

f(5) = 448

f(4) = 126

f(3) = 0

f(2) = -20

f(1) = 0

f(0) = 18

f(-1) = 16

f(-2) = 0

f(-3) = 0

The polynomial is of degree 4, so it has at most 4 real zeros.

From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.

Therefore

f(x) = (x+3)(x+2)(x-1)(x-3).

For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.

The statement that x=5 is an upper bound for the zeros of f(x) is true.

Read more on Brainly.com - brainly.com/question/4229142#readmore

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xxMikexx [17]

Answer:

(1). y = x ~ Exp (1/3).

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

Step-by-step explanation:

Kindly check the attachment to aid in understanding the solution to the question.

So, from the question, we given the following parameters or information or data;

(A). The probability in which attempt to establish a video call via some social media app may fail with = 0.1.

(B). " If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. "

(C). "due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and Y = X otherwise.)."

(1). Hence, for FY(y) = y = x ~ Exp (1/3) for the condition that zero is equal to y = x < 6.

(2). Check attachment.

(3). EY = 3(1 - e^-2).

(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.

The condition to follow in order to solve this question is that y = 0 if x ≤ 0, y = x if 0 ≤ x ≤ 6 and y = 6 if x ≥ 6.

8 0
2 years ago
In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation. Point A′
emmasim [6.3K]

You did not attach any picture to solve this problem. We cannot calculate for the value of A’ and D’ without the correct graph. However, I think I found the correct graph (see attached), please attach it next time.

So we are given that the figure is dilated by a factor of, meaning that all of its end points are multiplied by 2. By this rule, all we have to do is to simply multiply the initial coordinates of A and D by 2 to get A’ and D’, that is:

A’ = (-1 * 2, -1 * 2) = (-2, -2)

<span>D’ = (2 * 2, -1 * 2) = (4, -2)</span>

3 0
2 years ago
Jankord Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks. Typically, 10 p
dimulka [17.4K]

Answer:

P(X 0.9619

Step-by-step explanation:

From the given information;

the probability of getting returned p = 0.1

If eight rings are sold today, what is the probability that fewer than three will be returned;

According to binomial distribution

Binomial distribution is the probability of success or failure of an outcome of an experiment under observation which is usually repeated several trials. Binomial experiments are random experiment with fixed number of repeated experiment. If we cannot predict before head, the outcome of an experiment , the experiment is called a random experiment.

So , using binomial distribution to determine the probability that fewer than three will be returned;

i.e

P(X \sum_{x=0}^{2}\binom{8}{x}(0.1)^{x}(1-0.1)^{8-x}

P(X 0.9619

8 0
2 years ago
In a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other." How
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Answer:

50 % of them participated

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The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm
N76 [4]

Answer:

look it up because found the correct answer there

Step-by-step explanation:

4 0
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