To solve the problem we must know about Z-Score.
<h3>What is Z-score?</h3>
A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
The life span of an appliance that has a z-score of –3 is 24 months.
Given to us
- Mean, μ = 48 months,
- standard deviation, σ = 8 months,
- Z-Score = -3
<h3> What is the life span of an appliance?</h3>
The life span of the appliance can be calculated using the Z-score formula,

Substitute the values,

Hence, the life span of an appliance that has a z-score of –3 is 24 months.
Learn more about Z-score:
brainly.com/question/13299273
Answer:
62.5 m
Step-by-step explanation:
Proportions:
10/20 and x/125
-cross multiply
20x = 125*10
20x = 1250
20x/20 = 1250/20
x = 62.5
Answer:
a)E=.05t +34
b)$54
c)$600
Step-by-step explanation:
a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"
he earns an extra $34 a night of work. --> this is the constant
E= --> the total earned that night
E=.05t +34
b) simply plug in the total tip into the equation
E=.05(400) + 34
E=$54
--> he earned $54 that night
c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y
we find t, which is tip the restaurant was given
--> 64 = .05t +34
-34. -34
30= .05t ---> divide by .05 each side
t= $600
the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work
hoped this helped:)
Answer:
Dijonea have 8192 megabytes on her memory card
Step-by-step explanation:
Capacity of Tammy's memory card = 4-gigabyte
given that Dijonea buys a memory card with twice as much storage as Tammy’s
Thus,
Capacity of Dijonea's memory card = 2*Capacity of Tammy's memory card
Capacity of Dijonea's memory card = 2*4-gigabyte = 8-gigabyte
Given that
1 gigabyte = 1,024 megabytes
we have to find value of 8 gigabyte in terms of megabytes
for that we multiple both side in above equation by 8
1 *8 gigabyte = 1,024 *8 megabytes
8 gigabyte = 8192 megabytes
Thus, Dijonea have 8192 megabytes on her memory card