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3 years ago

Question 1 (1 point) Divide using any method. -3x3 + 4.x2 + 2x – 5) (x - 2)

Mathematics

1 answer:

valkas [14]3 years ago

3 0

Answer:Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

Divide the highest order term in the dividend

by the highest order term in divisor

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

Pull the next terms from the original dividend down into the current dividend.

Divide the highest order term in the dividend

−

by the highest order term in divisor

Multiply the new quotient term by the divisor.

The expression needs to be subtracted from the dividend, so change all the signs in

−

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

The final answer is the quotient plus the remainder over the divisor.

−

Step-by-step explanation:

You might be interested in

Suppose you want to eat lunch at a popular restaurant. The restaurant does not take reservations, so there is usually a waiting

grin007 [14]

Answer:

a) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{15-19}{4} =-1$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-1)=1-P(z$

And replacing we got:

$P(X >20| X>15)= \frac{0.401}{0.841}= 0.477$

b) $z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{18-19}{4} =-0.25$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-0.25)=1-P(z$

And replacing we got:

$P(X >20| X>18)= \frac{0.401}{0.599}= 0.669$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:

$X \sim N(19,4.0)$

Where $\mu=19$ and $\sigma=4.0$

Part a

For this cae we want to find this probability:

$P(X >20| X>15)$

And if we use the conditional probability formula we got:

$P(X >20| X>15)= \frac{P(X >20 \cap X>15)}{P(X>15)}=\frac{P(X>20)}{P(X>15)}$

We can solve the problem using the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{15-19}{4} =-1$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-1)=1-P(z$

And replacing we got:

$P(X >20| X>15)= \frac{0.401}{0.841}= 0.477$

Part b

$P(X >20| X>18)= \frac{P(X >20 \cap X>18)}{P(X>18)}=\frac{P(X>20)}{P(X>18)}$

We can solve the problem using the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$z_1 =\frac{20-19}{4} =0.25$

$z_2 =\frac{18-19}{4} =-0.25$

And we can use the complement rule and we got:

$P(z>0.25)=1-P(z$

$P(z>-0.25)=1-P(z$

And replacing we got:

$P(X >20| X>18)= \frac{0.401}{0.599}= 0.669$

5 0

4 years ago

I get the part A of the question its just the part B that i would really appreciate for someone to explain

Julli [10]

Step-by-step explanation:

650065 = (a² + 1)(c² + 1)

and

650065 = (ac - 1)² + (a + c)² = the sum of 2 squared numbers (ac - 1)² and (a + c)².

we see that 5 and 13 and therefore 5×13=65 are all factor of 650065. and then 650065/65 = 10001.

and we know that 65 = (64 + 1) = (8² + 1)

and 10001 = (10000 + 1) = (100² + 1)

so, a = 8, c = 100

that means the 2 squared numbers summing up to 650065 are

(ac - 1)² = (8×100 - 1)² = 799² = 638,401

(a + c)² = (8 + 100)² = 108² = 11,664

650,065 = 638,401 + 11,664 = 799² + 108²

8 0

2 years ago

Lynne feeds her cat 65 g of cat food per day.

almond37 [142]

She feed her cat 65g a day and 1oz -28.3g 65/38.3=2.12oz a day 7 days in a week 2.12 multiplied by 7 then multiply that answer by 5 weeks. 2.12(7)=14.84(5)=74.2oz.

7 0

3 years ago

PLEASE HELP! What is the approximate area of the shaded region? use 3.14 for Pi

tiny-mole [99]

Answer:

A. 16.86 square inches

Step-by-step explanation:

Area of Circle = $\pi r^2$ , where r = radius.