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babymother [125]

2 years ago

12

A 22-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 19 fe

et from the base of the building. How high up the wall does the ladder reach?

1 answer:

-BARSIC- [3]2 years ago

5 0

Answer:

3 Feet

Step-by-step explanation:

The reason why it is 3 Feet is that 22 - 19 = 3. (Another anwser is 19 + 3 = 22)

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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

Describe how (2 cubed) (2 superscript negative 4) can be simplified.

irina [24]

Answer:

1/2

Step-by-step explanation:

Given:

(2 cubed) (2 superscript negative 4)

= (2³)(2^-4)

= (2³) (1 / 2⁴)

= (2³ * 1) / 2⁴

= 2³ / 2⁴

Both numerator and denominator has the same base. Thus, pick one of the bases

Also, in indices, division sign can be translated to subtraction

Therefore,

2³ / 2⁴

= 2^3-4

= 2^-1

= 1/2¹

= 1/2

(2³)(2^-4) = 1/2

7 0

2 years ago

Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given

Stells [14]

Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .

4 0

3 years ago

Solve r + (-8) = 10<br><br> ———————-

Yuliya22 [10]

Answer:

r = 18

Step-by-step explanation:

r -8 = 10

r -8 + 8 = 10 + 8

r = 18

4 0

2 years ago

John can ride his skateboard 100 feet in 4.6 seconds. How fast is this in miles per

cricket20 [7]

Answer:

about .24 mile per hour

1 mile is 5280 foot

Step-by-step explanation:

5 0

2 years ago