Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the parameters are given as follows:
.
Hence:


X - 48 = -24
X = 24.
The life span of an appliance that has a z-score of –3 is of 24 months.
More can be learned about the normal distribution at brainly.com/question/24663213
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<h2>
Hello!</h2>
The answer is:
The correct option is the option D

<h2>
Why?</h2>
To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).
We need to use the following free fall equation:

Where:
is the final speed.
is the initial speed.
g is the acceleration due to gravity.
t is the time.
We are given the following information:



Then, using the formula to isolate the acceleration, we have:


Now, substituting we have:


Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

Hence, the correct option is the option D

Have a nice day!
10*12=120+29=149 hoped i helped
Let
R = Ralph's age
S = Sara's age
First statement is translated as:
S = 3R
Second statement is translated as:
S + 4 = 2(R + 4)
Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
True because<span> the common factor to both numbers would be an even number.
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