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2 years ago

Identify the domain and range of

Mathematics

1 answer:

maria [59]2 years ago

5 0

Answer:

Domain: $(-\infty, \infty)$
Range: $(0, \infty)$

Step-by-step explanation:

The domain of an exponential function is all real numbers.

The range of an exponential function that has not been vertically shifted is $(0, \infty)$ .

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PLS help asap, brainliest goes to whoever properly explains their answer! (i know the answer is x=3 but i don't know how to get

Gre4nikov [31]

Step-by-step explanation:

f(x) = 2^x (this is exponential function)

f(x) = 8

the equation is :

2^x = 8

2^x = 2³

cross out 2

so, we get : x= 3

7 0

3 years ago

Help plz!!!!!!!!!!!!

enyata [817]

Answer:

Option A, 90

Step-by-step explanation:

105×2-120

= 210-120

= 90

4 0

3 years ago

The experimental probability that it will snow on any day in Maine during the month of January is about 19% Out of the 31 days,

Alenkasestr [34]

Answer:

9. The experimental probability that it will rain on any given day in Houston Texas is about 15%. Thus, out of 365 days, 15% of that are the predicted days the it will rain in the Place. => 365 days is the total number of days in a year => 15% is the predicted days to rain => 365 * .15 = 54.75 Since this is a decimal number, let’s round this off to 55 days. Why 55 because the value of tenths is more than 5

Step-by-step explanation: hope this helps

6 0

3 years ago

Explain why the sum of a rational number and an irrational number is always irrational

grandymaker [24]

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

(write this in your own words)

8 0

3 years ago

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in H

vlada-n [284]

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

$H_0: \mu = 1872$

And the alternate hypothesis is:

$H_a: \mu > 1872$

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.

1872 is tested at the null hypothesis:

This means that $\mu = 1872$

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that $n = 40, X = 2031, \sigma = 373$

Value of the test-statistic:

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

$z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}$

$z = 2.7$

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

7 0

3 years ago