Answer:
The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.
Step-by-step explanation:
Problems of normally distributed samples can be solved using 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, or the area of the normal curve to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, or the area of the normal curve to the right of Z.
In this problem, we have that:

Less than 44 minutes.
Area to the left of Z when X = 44. So



So the answer is:
The percentage of time that his commute time is less than 44 minutes is equal to the area under the standard normal curve that lies to the left of 1.8.
Step-by-step explanation:
Since we have given that
Material needed to make a pillow cover is given by

We need to calculate the material which will be needed to make 9 pillows covers.
So, we use the "Multiplication Operation" as we need the value for more pillow covers :


Answer:
okay so the way your going to set this up is backwards because you already know your hypotenuse. 65^2 = 25^2 + b^2. So its 24 feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
Independent Variable (IV): Special college preparation program
How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.
Dependent variables (DV): Math placement scores of college applicants
How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.
Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).
Hypothesis:
If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.
Answer:
9 x 4 = 36 divided by 2 = 18