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3 years ago

If three pounds of coffee costs $22.56, what is the cost of 1

Mathematics

1 answer:

NeX [460]3 years ago

8 0

Answer:

$7.52 = 7 dollars and 52 cents.

Step-by-step explanation:

Given that three pounds of coffee = $22.56

1 pound of coffee = $22.56/3

Thus, we would have:

$\frac{22.56}{3} = 7.52$ .

A pound of coffee = $7.52

$7.52 = 7 dollars and 52 cents.

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A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa

UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so $\mu = \frac{14}{60} = 0.2333$

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081$

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

8 0

3 years ago

A roller coaster makes an angle of 52 degrees with the ground. The horizontal distance from the crest of the hill to the bottom

Ann [662]

Answer:

Step-by-step explanation:

Using soh cah toa

Sin=opp/hot

Sin 52°=h/121

h=sin52°×121

h=0.7880×121feet

h=95.348feet

4 0

3 years ago

The sector of a circle with a 12 in. radius has a central angle measure of 60°. What is the exact area of the sector in terms of

IRINA_888 [86]

The sector of the circle formed by its two radius of length 12 inches has an area of 24 pi. This is obtained using the formula, Area is equal to the product of pi, radius squared and central angle all over 360.

4 0

3 years ago

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where

Anastasy [175]

Answer:

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

4 0

3 years ago

Riddle what 3D shape should be afraid of?

Digiron [165]

Well a sphere ok ok :)

4 0

3 years ago

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