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2 years ago

If f(x) = x+7 and g(x)=1/x-13, what is the domain of (f.g) (x)?

Mathematics

1 answer:

Hoochie [10]2 years ago

4 0

Answer:

The domain of f is all real numbers (since it is a polynomial), hence the value of g(x) is not restricted in any way.

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If an regular interior angle of a regular polygon is 140 degrees, how many sides does the polygon have and I need the work

torisob [31]

Answer:

9 sides

Step-by-step explanation:

exterior angle + interior angle = 180° , so

exterior angle + 140° = 180° ( subtract 140° from both sides )

exterior angle = 40°

The sum of the exterior angles of a polygon = 360°

Dividing sum by the measure of 1 exterior angles gives number of sides

number of sides = $\frac{360}{40}$ = 9

8 0

2 years ago

4x + 5y = 12 and 3x + 4y = 9.25 . Solve for systems of equations

masha68 [24]

Answer:

y=1

x=7/4

Step-by-step explanation:

4x + 5y = 12

3x + 4y = 9.25

4x + 5y = 12

12x + 16y =37

-12x -15 y =-36

12x + 16y =37

y=1

x=7/4

8 0

3 years ago

Read 2 more answers

a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representati

seropon [69]

Answer:

Step-by-step explanation:

The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.

8 0

3 years ago

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist

Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

$n=1200$ random sample taken

$\hat p=\frac{620}{1200}=0.517$ estimated proportion of people that would vote for the Republican candidate

$p$ true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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 population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1- p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: