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2 years ago

Which experiment describes a binomial experiment?

1 answer:

7 0

You have 4 options:
4 cards: because you draw cards and don't replace them your chance p changes on every trial, so it can't be a binomial experiment
roll 2 dice until...: a binomial experiment must have a consistent amount of trials, by doing an action until some condition is fulfilled violates this as the amount of trials or throws in this case is random
ask 9 people: there are three options, binomial experiments can only have 2

the only option left is the spinner, which is a binomial experiment

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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re

PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic clarithromycin is eliminated from the body according to the formula:

$A(t) = 500e^{-0.1386t}$ ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

$100= 500e^{-0.1386t}$

Divide both sides by 500 we get;

$\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}$

Simplify:

$\frac{1}{5} = e^{-0.1386t}$

Taking logarithm both sides with base e, then we have;

$\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})$

$\log_e (\frac{1}{5})=-0.1386t$ [ Using $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[using value of $\log_e (0.2) = -1.6094379124341$ ]

then;

$t = \frac{-1.6094379124341}{-0.1386}$

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams

6 0

2 years ago

Which equation represents a parabola that has a focus of (0 0) and a directrix of y = 2

mel-nik [20]

ANSWER

$x ^{2} = - 4(y - 1).$

EXPLANATION

Since the parabola has the (0, 0) and the directrix at y=2.

The equation is of the form

${(x - h)}^{2} = - 4p(y - k)$

where (h,k) is the vertex.

The vertex is half way between the directrix and the focus.

The vertex will be at (0,1)

and is the distance from the vertex to the focus which is 1.

${(x - 0)}^{2} = - 4(1)(y - 1)$

$x ^{2} = - 4(y - 1)$

7 0

2 years ago

What is the sum of the interior angles of the polygon shown below?

34kurt

Answer:

900

Step-by-step explanation:

Sum of interior angle for a polygon = (n-2)180

7 sides

=(7-2)180

=5*180

=900

8 0

3 years ago

Determine the taylor series about the point x0=2 for the function 11−x. determine the radius of convergence of the series.

just olya [345]

Try this solution, if it is possible check it in the other sources.
P.S. for the radius of convergence: it is clear that all the members of the series (except the 1st and the 2d ones) are '0'.

6 0

3 years ago

Which triangle is NOT similar to the other three?

Liono4ka [1.6K]

it would be triangle D

4 0

2 years ago

Read 2 more answers