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3 years ago

To which sets of numbers does −14 belong?

Mathematics

1 answer:

Reil [10]3 years ago

3 0

Hello

the naswer is real number

have a nice day

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Danny answered 70 % questions correctly on his math test. if he answered 35 questions correctly, how man y were on the test

liraira [26]

Answer:

50 questions.

Step-by-step explanation:

70% - 35

100% - $\frac{100}{70}$ × 35 = 50

6 0

3 years ago

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

3 years ago

The probability a person is infected by a certain cold virus is 0.2. If a random sample of 12 people is taken, what is the proba

inna [77]

Answer:

If 0.2 = 20%, The probability that 1 person will be infected is 100%, according to theory.

3 0

2 years ago

Please explain step by step for 0.67÷0.3=?

pentagon [3]

Multiply each of the numbers by a ten to a power that they both become whole numbers.

0.67 * $10^2$ = 67
0.3 * $10^2$ = 30

Divide as usual.

67 / 30 = 2 $\frac{1}{3}$

So, the answer is 2 1/3.

3 0

3 years ago

What the error to this promblem

dimaraw [331]

The error to that problem is the person switched the x and y points, like in point A, it’s supposed to be (x,y) or (1,5). The person put the y in front of the x while writing the points.

3 0

2 years ago