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2 years ago

Factor the following Trinomial: x^2-3x+1

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

Answer:

The factors are (x-4) and (x+1)

(x-4)(x+1) = x²+x-4x-4 = x²-3x-4

Step-by-step explanation:

(x-4)(x+1) = x²+x-4x-4 = x²-3x-4

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If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the d

katen-ka-za [31]

Answer:

We need a sample size of least 119

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Sample size needed

At least n, in which n is found when $M = 0.09$

We don't know the proportion, so we use $\pi = 0.5$ , which is when we would need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.09\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}$

$n = 118.6$

Rounding up

We need a sample size of least 119

6 0

3 years ago

The variance of a stock's returns can be calculated as the:

Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

$\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}$

where, $\overline{x}$ is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0

4 years ago

Can somebody help me plz i dont understand

Katyanochek1 [597]

Answer:

B cause it righrhjeueudjss

4 0

3 years ago

Read 2 more answers

Your uncle is 2 years older than 3 times your age. You are 12 years old. How old is your uncle?

OlgaM077 [116]

Answer:

is it 38? cause 12 times 3 is 36 add 2 which is 38

6 0

3 years ago

Read 2 more answers

The string of a kite is 120 metres long and it makes an angle of 60 degree

Afina-wow [57]

Answer:

103.92 m

Step-by-step explanation:

The kite is making right angle with the ground and its string is acting as hypotenuse of right triangle.

Let the height of the kite from the ground be h meters.

Therefore, by trigonometrical ratio:

$\sin \theta \: = \frac{height \: of \: the \: kite}{length \: of \: the \: string} \\ \\ \sin 60 \degree \: = \frac{h}{120} \\ \\ \frac{ \sqrt{3} }{2} = \frac{h}{120} \\ \\ h = \frac{ \sqrt{3} }{2} \times 120 \\ \\ h = \sqrt{3} \times 60 \\ \\ h = 1.732 \times 60 \\ \\ h = 103.92 \: m \\$

Thus, the height of the kite from the ground is 103.92 meters.

7 0

3 years ago