2. Construct a line that is perpendicular to line m and that passes through point P.

A song needs to be purchased 1,000,000 times in under a week to reach the top 10 chart. The purchase rate of Bailey's song can b

maria [59]

After 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

<h3>What is a function?</h3>

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

It is given that the website hosting the song uses the function:

f(t)=2002t² to represent the number of daily hits over time, where t is time in days.

It is required to predict the day on which the number of daily hits reaches 1,000,000.

We have a function:

f(t)=2002t²

When f(t) = 1,000,000 then what will be the value of 't'

Simply:

1000000 = 2002 t²

499.500 = t²

t = √499.500

t= 22.349 days

t = 22 days and 8 hours (0.349×24 hours) and 22 minutes (0.376×60 minutes) and 34 seconds (0.56×60 ≈ 34).

Thus, after 22 days and 8 hours (0.349×24 hours) and 34 seconds (0.56×60 ≈ 34), the number of daily hits reaches 1,000,000.

To know more about functions follow

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#SPJ1

7 0

2 years ago

In a sample of 1100 U.S. adults, 208 think that most celebrities are good role models. Two U.S. adults are selected from this s

DedPeter [7]

Answer:

a) 3.56% probability that both adults think most celebrities are good role models.

b) 65.74% probability that neither adult thinks most celebrities are good role models.

c) 34.26% probability that at least one of the two adults thinks most celebrities are good role models.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the adults are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

(a) Find the probability that both adults think most celebrities are good role models.

Desired outcomes:

Think most celebrities are good role models, so 2 from a set of 208. Then

$D = C_{208,2} = \frac{208!}{2!(208-2)!} = 21528$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{21528}{604450} = 0.0356$

3.56% probability that both adults think most celebrities are good role models.

(b) Find the probability that neither adult thinks most celebrities are good role models.

Desired outcomes:

2 from a set of 1100 - 208 = 892. Then

$D = C_{892,2} = \frac{892!}{2!(892-2)!} = 397386$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{397386}{604450} = 0.6574$

65.74% probability that neither adult thinks most celebrities are good role models.

(c) Find the probability that at least one of the two adults thinks most celebrities are good role models.

Either neither think, or at least one does. The sum of the probabilities of these events is 100%.

From b), 65.74% probability that neither think.

So

65.74 + p = 100

p = 100 - 65.74

p = 34.26

34.26% probability that at least one of the two adults thinks most celebrities are good role models.

8 0

3 years ago

I’m confused on this question and I need help

Nataly_w [17]

Answer:

Step-by-step explanation:

Pythagorean Theorem

c^2 = a^2 + b^2

a = 20

b = 15

c = ?

c^2 = 20^2 + 15^2

c^2 = 400 + 225

c^2 = 625 Take the square root of both sides.

√c^2 = √625

c = 25

The third side is 25 cm long.

4 0

2 years ago

How does the slope of a line segment relate to the rate of change?

LenKa [72]

The slope of the line is the rate of change

6 0

3 years ago

A recipe for 20 rolls requires 5 tablespoons of butter. How many tablespoons of butter I needed for 30 rolls

dangina [55]

Answer:The answer is 7.5 tablespoon

Step-by-step explanation:

The solution is in the image

3 0

2 years ago

Read 2 more answers