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2 years ago

51. q(x) = 2 * (x - 1) ^ 2 + 5 , what is the value of q(- 3) ?

Mathematics

1 answer:

Sloan [31]2 years ago

8 0

Answer:

26.69

Step-by-step explanation:

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Given f(x) = 3x2 + kx – 7, and the remainder when f (x) is divided by x – 4 is

USPshnik [31]

Answer:

-243

Step-by-step explanation:

{3×³ykx-7 incluye

7 0

1 year ago

$16 is to 116.1 as what amount is to 178.4 ?

Nat2105 [25]

The answer would be $78..

3 0

3 years ago

if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?

Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 9 rolls, hence $n = 9$ .

Of the six sides, 2 are 3 or 4, hence $p = \frac{2}{6} = 0.3333$

The desired probability is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

$P(X < 2) = P(X = 0) + P(X = 1)$

Then

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

$P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026$

$P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117$

Then:

$P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857$

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0

2 years ago

Samuel deposited money in an account that pays an annual simple interest rate of 3.5%. at the end of 5 years, samuel earns $2625

evablogger [386]

He has deposited 1500 dollars into the account.

4 0

2 years ago

Read 2 more answers

How to convert 11/27 into a decimal

il63 [147K]

Answer:

11 ÷ 27 = 0.407407

Step-by-step explanation:

Una fracción, como 11/27, tiene un numerador y un denominador separado por una línea divisoria.

11 es el numerador, porque es el número de arriba de la línea divisoria.

27 es el denominador porque es el número de abajo de la línea divisoria.

Para convertir 11/27 a decimal, divide el numerador por el denominador.

4 0

3 years ago