Forty percent of prison inmates were unemployed when they entered prison. If 5 inmates are randomly selected. Find these possibi

Answer:

The likelihood that a failure will not take place within the next 30 months is 0.0454.

Step-by-step explanation:

We employ a Poisson distribution where:

t = time units

x = occurrences during t units

λ = average occurrences per unit of time

P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!

Here, λt equals 25.

x equals 30.

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E signifies exponent)

P (x=30) = 1.204 E31/30!

Utilizing a statistical calculator will yield:

P (x=30) = 0.0454

The probability that the next failure will not occur prior to 30 months is 0.0454.

Create a visual representation to depict the situation outlined below.

Let h signify the height of the tree.

Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB

This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
Consequently, h = 1.94*3 = 5.82 m

Final result: 5.82 m

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

Where signifies the starting quantity (), is the decay rate () and denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

Answer:

Step-by-step explanation:

Given

Required

Calculate the hourly rate

First, we will determine the amount of ice cream that was sold

Next, calculate the average hourly rate:

-- Approximated