Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So



has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22



has a pvalue of 0.8413
X = 20



has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Answer:
10 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year,
then, solving our equation
t = 100 / ( 500 × 0.02 ) = 10
t = 10 years
The time required to
accumulate simple interest of $ 100.00
from a principal of $ 500.00
at an interest rate of 2% per year
is 10 years.
So sig figs are non zero so
500 has 1 sig fig, 5
but 500. has 3 sig figs because it has a decimal
2.3 has 2 sig figs
2.03 has 3 sig figs so to make 232.76 to 2 sig figs you would put it into scientific notation and get 2.3 times 10^2 and thats 2 sig figs (the 10^2 doesn't count as a sig fig)
Answer:
m=0.5 b=1
Step-by-step explanation:
M is the increase in value by one square point via b.
B is the y axis beginning position.
I could be wrong, though.
In this question we already know the value of 'b' so put the value b=2 in the equation
=|4(2)-8| + |-1-(2)^2| + 2(2)^3
=|8-8| + |-1-4| + 2(8)
=0 -5 +16
=11