Answer:
556
Step-by-step explanation:
So, 378/189=2. So it will double two times. x2x2=x4. 139x4=556.
Thus an approximate 95% confidence interval for the average enrollment of all 60,000 faculty members in the two years prior to the survey. which implies that the given statement is true.
According to the statement
Average sample =3700
SD sample =6500
Sample size =400
EV average =3700
SE average =325
Population size =3000
The boundaries of the 68% confidence interval are then 1 standard error from the estimated average:
EV average+1⋅SE average =3700+1⋅325=3700+325=4025
EV average−1⋅SE average =3700−1⋅325=3700−325=3375
Thus an approximate 95% confidence interval for the average enrollment of all 60,000 faculty members in the two years prior to the survey. which implies that the given statement is true.
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Answer:
Option A
Step-by-step explanation:
According to the second law of thermodynamics, heat always flows from hot to cold places, unless work is done on the system. In this case the ice is colder than room temperature, and therefore the heat flows from the soda to the ice cube. The ice cube absorbs the heat, and partially melts.
The mean grade on the quiz was 88.
<u>Step-by-step explanation:</u>
We need to find the mean grade of the quiz using the information given.
The mean also known as the average is defined as the sum of data entries in a set divided by the number of entries in the data set.
The standard deviation gives the amount of variation or dispersion of data values present in a data set.
The given data are,
- The standard deviation of the quiz, SD = 3.
- The score 94 is exactly 2 standard deviations above the mean.
The above sentence represents that 94 is above the mean with 2 standard deviations.
⇒ 94 = Mean + 2 standard deviations.
We know the value for standard deviation. So substitute SD= 3 in the expression provided.
⇒ 94 = Mean + (2×3)
⇒ 94 = Mean + 6
To find mean, subtract 6 on both sides.
⇒ 94 -6 = Mean
⇒ Mean = 88
Therefore, the mean grade on the quiz was 88.
-6 x 2 +5 = -7
The absolute value of -7 is 7.
8 x 1/2 =4
7-4=3
