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Svetlanka [38]
2 years ago
9

Write the common difference of an arithmetic sequence if a8 = ‒8 and a10 = ‒12 ? A. ‒4 B. ‒2 C. ‒1 D. 2

Mathematics
1 answer:
Tom [10]2 years ago
4 0

Answer:

the common difference between these numbers are 2

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Solve |p + 2|= 10<br> (-12)<br> {-8. 8)<br> {-12, 8)
Firdavs [7]

Answer:

i belive p= 8

Step-by-step explanation:

10-2= 8

8+2 is 10 so p +2 woyld =10

3 0
2 years ago
I need help please and thank you
Sedaia [141]

Answer:

20 hours

Step-by-step explanation:

3 0
3 years ago
These roots of the polynomial equation x^4-4x^3-2x^2+12x+9=0 are 3,-1,-1. Explain why the fourth root must be a real number. Fin
Alex787 [66]

Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.

Because we know 3 and -1 (multiplicity 2) are both roots, the last root r is such that we can write

x^4-4x^3-2x^2+12x+9=(x-3)(x+1)^2(x-r)

There are a few ways we can go about finding r, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be (-3)(1)(1)(-r)=3r.

Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

3r=9\implies r=3

so the missing root is 3.

Other things we could have tried that spring to mind:

- three rounds of division, dividing the quartic polynomial by (x-3), then by (x+1) twice, and noting that the remainder upon each division should be 0

- rational root theorem

4 0
3 years ago
Read 2 more answers
William is planning to buy a guitar for $35.95. The sales tax rate is 8.25%. He wants to be sure he has enough money. How much w
hram777 [196]
A.) 38.92 the sales tax is $2.97 so 35.95 + 2.97 = 38.92
3 0
3 years ago
A multiple choice test is composed of 10 questions. Each question has four possible answers, only one of the four possible answe
kompoz [17]

Answer:

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

X \sim Binom(n=10, p=0.25)

And the expected value is given by:

E(X) = np =10*0.25 = 2.5

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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!}  

Solution to the problem

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

X \sim Binom(n=10, p=0.25)

And the expected value is given by:

E(X) = np =10*0.25 = 2.5

4 0
2 years ago
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