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3 years ago

Why can't the graphing calculator be used to solve (or approximate solutions to) all polynomial equations?

1 answer:

5 0

Because it is normally set to only find real roots, not complex roots

if you are smart, you can use the factor function and use your head to find those roots

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How to Simplify the rational expression.

alexandr402 [8]

2r - 4 2(r - 2)
--------- = ----------- = 2
r - 2 r - 2

answer
2

3 0

3 years ago

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

2 years ago

Suppose you have the 26 letters of the alphabet on separate cards in a hat. You pick out a card, write down the letter, put the

tekilochka [14]

The probability is 4/26 since MATH has 4 letters. It might be a trick question though because you're putting the card back in the hat, therefore it might be different. Sorry if this is too confusing I overthink it lol

8 0

3 years ago

There are 150 students in the band and 90 students in the chorus. One half of the band members and 4/5 of the chorus members par

Anit [1.1K]

150 x 1/2 = 75
90 x 4/5 = 72

3 members

4 0

3 years ago

Solve the equation for x 1/3x - 15 = 12

Akimi4 [234]

X = 81
You are welcome

6 0

3 years ago

Read 2 more answers