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Lera25 [3.4K]
3 years ago
8

Find the roots of the polynomial equation x^3+2x^2+3x+6=0

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer: x=−2

Step-by-step explanation:

x^3+2x^2+3x+6=0

(x+2)(x^2+3)=0

x+2=0 or x^2+3=0

x=−2


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You are an assistant director of the alumni association at a local university. You attend a presentation given by the university
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Answer:

(0.102, -0.062)

Step-by-step explanation:

sample size in 2018 = n1 = 216

sample size in 2017 = n2 = 200

number of people who went for another degree in 2018 = x1 = 54

number of people who went for another degree in 2017 = x2 = 46

p1 = x1/n1 = 0.25

p2 = x2/n2 = 0.23

At 95% confidence level, z critical = 1.96

now we have to solve for the confidence interval =

<h2> p1 -p2 ± z*\sqrt{((1-p1)*p1)/n1 + ((1-p2)*p2/n2}</h2>

0.25 -0.23 ± 1.96*\sqrt{((1 - 0.25) * 0.25)/216 + ((1 - 0.23) *0.23/200}

= 0.02 ± 1.96 * 0.042

= 0.02 + 0.082 = <u>0.102</u>

= 0.02 - 0.082 = <u>-0.062</u>

<u>There is 95% confidence that there is a difference that lies between  - 0.062 and 0.102 on the proportion of students who continued their education in the years, 2017 and 2018.</u>

<u></u>

<u>There is no significant difference between the two.</u>

5 0
3 years ago
Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10
dedylja [7]

Answer:

Brent’s club has more possible team combinations because there are more members to choose from

Step-by-step explanation:

Brents club can be created in C12 6 =12!/6!/6!=7*8*9*10*11*12/(2*3*4*5*6)=

=924 variants

Miguel's  club can be created in C10 6=10!/6!/4!=7*8*9*10/(2*3*4)=210 variants

924>210 so Brent’s club has more possible team combinations because there are more members to choose from

4 0
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Which model represents the factors of 4x²-9?
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(

2

x

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2

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(

2

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3

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(

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6 0
3 years ago
2) Jayden paid $900 for an iPhone 12. The price of the
Vladimir79 [104]

Answer:

600

Step-by-step explanation:

5 0
2 years ago
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​(e) what might you conclude if a random sample of 3636 time intervals between eruptions has a mean longer than 104104 ​minutes?
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The answer in this question is A, D and E, we might conclude if a random sample of 36 time interval between eruption has a mean longer that 104 minutes, I can conclude that the population means may be greater than 91 and the probability mean must be more that 91, since the probability is low and also the population mean is 91, and this is an example of a typical sampling result.
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3 years ago
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