Answer:
I have made it in above picture hope it helps
How do you write 0.0000248 in scientific notation?
2 answers:
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
In this case, In this case, there is already a decimal point in the number and notice there is only one digit to the left of it.
Now, we need to count the number of places the decimal point would need to move in order to get to a number that is between 1 and 10.
In this case, we would need to move the decimal point 5 places in order to get to the number 2.48 which is a number between 1 and 10.
To get from 2.48 back to 0.0000248, we would need to move the decimal point five places top the left which gives us an exponent of -5. Lastly, we multiply 2.48 by 10 to the -5th power.
Therefore, 0.0000248 can be written in scientific notation as 2.48 x
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Answer:
A) 0.99413
B) 0.00022
Step-by-step explanation:
A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:
Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes
Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:
μ = n*μ_s ample = 42 × 5 = 210 minutes
While the standard deviation for the population would be:
σ = √nσ_sample = √(42 × 6) = 15.8745 minutes
To find the z-score, we will use the formula;
z = (x - μ)/σ
Thus;
z = (250 - 210)/15.8745
z = 2.52
From the z-distribution table attached, we have;
P(Z < 2.52) ≈ 0.99413
B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.
Thus, total time is now 250 + 10 = 260 minutes
Similar to the z-formula in A above, we have;
z = (260 - 210)/15.8745
z = 3.15
P(Z > 3.15) = 0.00022
