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3 years ago

Translate this sentence into an algebraic equation. 8 less than the product of 5 and y is 16

Mathematics

2 answers:

lisov135 [29]3 years ago

9 0

The answer is 8-5+y=16

HIPE THIS HELPS!

HAVE A GR8 DAY ;-)

miv72 [106K]3 years ago

4 0

For this case we must raise an algebraic equation:

We have the following statement:

8 less: It is represented as $8-$

the product of 5 and y: It is represented as $5y$

is 16: Represented as $= 16$

Finally we have the following equation:

$8-5y = 16$

Answer:

$8-5y = 16$

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If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca

aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function $A ( t ) = 10 e^{ -0.0188 t$ (t in hours)

(a)After 12 Hours

$A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)$

(b)If A(t)=5mg

Then:

$5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)$

(c)

$A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)$

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What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?

olga2289 [7]

L=10ft
R=15ft
We have to find theta

$\Large{\underline{\sf Solution:-}}$

$\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r$

$\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15$

$\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1$

$\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}$

$\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}$

$\\ \sf\dashrightarrow \Theta=38.2°$

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2 years ago

What is the difference between a plane and a piece of paper?

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3 years ago

Tic-tac-toe: In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is

Natasha2012 [34]

Answer:

$P(X \geq 1) = 1-P(X$

And if we find the individual probability we got:

$P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865$

And replacing we got:

$P(X \geq 1) = 1-P(X$

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.127)$