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3 years ago

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What is the domain of the function?

Formula1" title="y = \sqrt[3]{x - 1} " alt="y = \sqrt[3]{x - 1} " align="absmiddle" class="latex-formula">

1 answer:

BabaBlast [244]3 years ago

3 0

Answer: The first option.

Step-by-step explanation:

This domain has no domain restrictions. Therefore, it covers all real numbers. x∈R

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A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. Supp

Trava [24]

Answer:

The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%

Step-by-step explanation:

As the test is targeted to 18-to-29-year-old adults using social media, we want to know the probability that a randomly selected adult uses social media and belong to the study group.

To achieve this, we have this data:

- 36% of all adults do not use social media

- 75% of all adults are >30 years old.

- The percentage of population that is <em>either</em> 18-29 years old <em>or</em> uses social media is 66.7%

Using the last data we have that

$P(social\,media=yes\, or\,18-29=yes)=P(social\,media=yes)+P(18-29=yes)-P(social\,media=yes\, \&\,18-29=yes)\\\\0.667=(1-0.36)+(1-0.75)-P(social\,media=yes\, \&\,18-29=yes)\\\\0.667=0.64+0.25-P(social\,media=yes\, \&\,18-29=yes)\\\\P(social\,media=yes\, \&\,18-29=yes)=0.64+0.25-0.667=0.223$

The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%

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3 years ago

Can you give step by step equation to solve

jarptica [38.1K]

Answer:

to solve what................???

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3 years ago

According to the rule of 72, which statement is true? An investment of $3,100 will double in 12 years at a compound interest rat

bulgar [2K]

Hey!

Question - According to the rule of 72, which statement is true? An investment of $3,100 will double in 12 years at a compound interest rate of 5%. An investment of $9,000 will double in 10 years at a compound interest rate of 7%. An investment of $4,500 will double in 8 years at a compound interest rate of 9%. An investment of $3,000 will double in 4 years at a compound interest rate of 12%

Answer - An investment of $3,000 will double in 4 years at a compound interest rate of 12%

0.012 / 3000 = 0.00004 = 4

6 0

3 years ago

Read 2 more answers

A random sample of 100 U.S. adults were selected from a population. In the population, the probability of having hypertension is

svp [43]

Answer:

For this case we want to calculate this probability:

$P(X\leq 30)$

And for this case if we use the normal approximation we can use the z score formula given by:

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

And using this formula with the correction factor of continuity we got:

$P(X\leq 30) =P(X$

And using the normal standard table or excel we got:

$P(Z \leq 1.522)= 0.936$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest "number of people with hypertension", on this case we now that:

$X \sim Binom(n=100, p=0.24)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=100*0.24=24 \geq 10$

$n(1-p)=100*(1-0.24)=76 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=100*0.24=24$

$\sigma=\sqrt{np(1-p)}=\sqrt{100*0.24(1-0.24)}=4.27$

Solution to the problem

For this case we want to calculate this probability:

$P(X\leq 30)$

And for this case if we use the normal approximation we can use the z score formula given by:

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

And using this formula with the correction factor of continuity we got:

$P(X\leq 30) =P(X$

And using the normal standard table or excel we got:

$P(Z \leq 1.522)= 0.936$

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There are 254 counties in Texas. Zane rounds the number of counties to the nearest ten. What is the difference between the actua

Nimfa-mama [501]

250 is rounded to nearest 10. Difference is 4.

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4 years ago