Answer:
b) falls between 18.4 and 31.6 minutes.
Step-by-step explanation:
Problems involving normally distributed samples can be tackled using the z-score formula.
In any set with a mean
and standard deviation
, the z-score for a measurement X is calculated as follows:

The Z-score indicates how many standard deviations an observation diverges from the mean. After determining the Z-score, consulting the z-score table provides the associated p-value. This p-value represents the likelihood of observing a measure less than X, i.e., the percentile of X. Subtracting the p-value from 1 yields the probability of observing a measure greater than X.
In this question, we find that:

To cover the Middle 90%
The lower limit is determined as the value of X when Z corresponds to a p-value of 0.5 - 0.9/2 = 0.05.
The upper limit corresponds to the value of X when Z has a p-value of 0.5 + 0.9/2 = 0.95.
Lower limit:
X when Z = -1.645



Upper limit:
X when Z = 1.645



Thus, the correct assessment is:
b) between 18.4 and 31.6 minutes.
When rounding 243.875: to the nearest tenth, it becomes 243.9; to the nearest hundredth, it is 243.88; to the nearest ten, it rounds down to 240; and to the nearest hundred, it rounds down to 200. The general rule in rounding states that if the decimal is less than 5, the number remains the same; if it is 5 or more, you round up.
Set t = 0 to find the initial height
Answer:
1%
Step-by-step explanation:
The selling price for each radio is $2288.
Total selling price is
$4576.
Profit is 10%.
Loss is also 10%.
Cost price=
Cost price=
Utilizing the formula,
Cost price of the first radio is
$2080.
Cost price of the second radio is
=$2542.2.
The combined cost price for both radios totals 2080+2542.2=$4622.2.
Total cost price exceeds total selling price.
Loss equals selling price minus cost price.
Loss is calculated as 4622.2-4576=$46.2.
Loss%=
Loss percentage is
1%.
Thus, the loss is 1%.