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3 years ago

FORM A CUBIC POLYNOMIAL WHOSE ZEROS ARE -3,-1 AND 2

Mathematics

1 answer:

Firdavs [7]3 years ago

7 0

$(x+3)(x+1)(x-2)=\\(x^2+x+3x+3)(x-2)=\\(x^2+4x+3)(x-2)=\\x^3-2x^2+4x^2-8x+3x-6=\\x^3+2x^2-5x-6$

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Steps for factoring 15cw-20cz-6dw+8dz

Sliva [168]

Add the common like terms but first seperate them and the pair them

5 0

3 years ago

Read 2 more answers

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

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3 years ago

Is the answer A,B,C, or D please only answer if you truly know

Jobisdone [24]

The answer is 64. Length times width times height.

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3 years ago

Help math maths math math

Travka [436]

Answer:

Step-by-step explanation:

remeber is (x,y) so it will be like this $\frac{6-3}{4-6} =-\frac{3}{2}$

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3 years ago

How many solutions does the following equation have ?

Sergio [31]

Answer:<em>Exactly one solution.</em>

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

-23 - 2x= -12-5x

2.Rearrange terms

-2x - 23 = -12 - 5x

3. Rearrange terms

-2x - 23 = -5x-12

4. Add 23 to both sides of the equation

-2x-23+23= -5x-12+23

5.Simplify

-2x= -5x+11

6.Add 5x to both sides of the equation

-2x+5x=-5x+11+5x

7.Simplify

3x=11

8.Divide both sides of the equation by the same factor

$\frac{3x}{3}$ = $\frac{11}{3}$

9.Simplify and Solution

x= $\frac{11}{3}$

5 0

3 years ago