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3 years ago

F(x)=(x^3+4x^2+7x-9) d(x)=(x+3) divide using long division

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

The result is x^2 +x +4 -21/(x+3).

_____

Polynomial long division tends to be easier than numerical long division because the quotient term never needs adjustment. It is always the ratio of the highest degree terms of the dividend and divisor.

See the attachment for the intermediate steps.

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A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use. The company's promotion

Vlad [161]

Answer:

The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use.

At the null hypothesis, we test if the proportion is of at least 64%, that is:

$H_0: p \geq 0.64$

At the alternative hypothesis, we test if the proportion is of less than 64%, that is:

$H_1: p < 0.64$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

64% is tested at the null hypothesis:

This means that $\mu = 0.64, \sigma = \sqrt{0.64*0.36}$

A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use.

This means that $n = 900, X = 0.61$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.61 - 0.64}{\frac{\sqrt{0.64*0.36}}{\sqrt{900}}}$

$z = -1.88$

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.61, which is the p-value of z = -1.88.

Looking at the z-table, z = -1.88 has a p-value of 0.0301.

The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.

8 0

3 years ago

Leila ran for president of the chess club, and she received 36 votes. There were 40 members in the club. What percentage of the

Troyanec [42]

Answer:

90% of the club member voted for Leila

Step-by-step explanation:

Leila ran for president of the chess club and she received 36 votes . The club has a total of 40 members . The percentage of the club member that voted for her can be computed below.

total member of the club = 40

number that voted for her = 36

a% of 40 = 36

a/100 of 40 = 36

40a/100 = 36

cross multiply

40a = 3600

divide both sides by 40

a = 3600/40

a = 90 %

90% of the club member voted for Leila

5 0

4 years ago

Which proportion is equivalent to the original equation

AnnZ [28]

Is there a picture of the problem?

5 0

3 years ago

The probability of flipping a coin and getting a head is 0.5 if the coins is flipped two times, the probility of getting a hard

jarptica [38.1K]

Answer:

0.75 so FALSE

Step-by-step explanation:

It is the only number that could be left after 0.5 and 0.25

7 0

3 years ago

-7x+3y=15 on a graph

Tom [10]

$-7x+3y=15\qquad\text{add 7x to both sides}\\\\3y=7x+15\qquad\text{divide both sides by 3}\\\\y=\dfrac{7}{3}x+5\\\\\text{It is a linear function. We need only two points to plot the graph.}\\\\\text{Choice any two x values and calculate the y values.}\\\\for\ x=0\to y=\dfrac{7}{3}(0)+5=0+5=5\to(0,\ 5)\\\\for\ x=-3\to y=\dfrac{7}{3}(-3)+5=-7+5=-2\to(-3,\ -2)$

4 0

3 years ago