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2 years ago

What are the zeros of x^3 - 18x^2 +107x -210

Mathematics

1 answer:

trapecia [35]2 years ago

4 0

Answer:

(−7)(−6)(−5) so the zeros are 5, 6, &7

Step-by-step explanation:

You might be interested in

What is the answer to 725x25?

Umnica [9.8K]

The answer is 18125
explanation:

7 0

2 years ago

Read 2 more answers

Need help GET BRAINLISTS #8

gladu [14]

Answer: 6.7 mm

Step-by-step explanation:

The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).

The apothem is the perpendicular distance from the center of the square to the midpoint of its side.

We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).

Area of square = 9(9) = 81

Area of square = 1/2(apothem)(perimeter)

Perimeter = 4(9) = 36

81 = 1/2(apothem)(36)

162 = apothem(36)

apothem = 4.5

Pythagorean theorem: $a^{2} + b^{2} = c^{2}$

Plug the apothem and the given height into the equation:

$4.5^{2} + 5^{2} = x^{2}$ (x being the slant height)

20.25 + 25 = $x^{2}$

x = $\sqrt{45.25}$

x ≈ 6.7

5 0

3 years ago

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

3 years ago

Choose all answers that apply:<br> a - -1.5 < x < -0.5<br> b- 0 c- 3.5 d- none of the above

Darya [45]

Answer:

None of the above.

Step-by-step explanation:

The interval where h is increasing is -1.5 < x < 1.5. Answers a, b, and c do not match.

3 0

2 years ago

Pls anwser (1) this is math look at the pic

Anni [7]

The answer is -3 for the problem

6 0

2 years ago