Answer:
0.046145 = 4.6145%
Step-by-step explanation:
We need to find the probability of 19 or 20 (all) students considering calculus to be an exciting subject, so first we find the probability for 19 students, then for 20 students, and we sum these probabilities.
The probability of the student NOT considering calculus to be an exciting subject is 1 - 0.78 = 0.22
For 19 students, we also have to calculate a combination of 20 choose 19, as these 19 students can be in different "position" among the 20 students, so:
C(20,19) = 20!/19! = 20
Probability of 19 students considering calculus to be an exciting subject:
C(20,19) * 0.78^19 * 0.22^1 = 0.039196756
Probability of 20 students considering calculus to be an exciting subject:
C(20,20) * 0.78^20 = 1 * 0.78^20 = 0.006948516
The final probability is:
0.039196756 + 0.006948516 = 0.046145272 = 4.6145272%
Rounding to six decimal places: 0.046145 = 4.6145%
Answer:
a=9+6
p=-30+20
z=15+(-12)
x=-10+(-7)
Step-by-step explanation:
I actually think its b cause it can't be d (thats obvious) yh........but i might be wrong
Answer:
Step-by-step explanation:
Researchers measured the data speeds for a particular smartphone carrier at 50 airports.
The highest speed measured was 76.6 Mbps.
n= 50
X[bar]= 17.95
S= 23.39
a. What is the difference between the carrier's highest data speed and the mean of all 50 data speeds?
If the highest speed is 76.6 and the sample mean is 17.95, the difference is 76.6-17.95= 58.65 Mbps
b. How many standard deviations is that [the difference found in part (a)]?
To know how many standard deviations is the max value apart from the sample mean, you have to divide the difference between those two values by the standard deviation
Dif/S= 58.65/23.39= 2.507 ≅ 2.51 Standard deviations
c. Convert the carrier's highest data speed to a z score.
The value is X= 76.6
Using the formula Z= (X - μ)/ δ= (76.6 - 17.95)/ 23.39= 2.51
d. If we consider data speeds that convert to z scores between minus−2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
The Z value corresponding to the highest data speed is 2.51, considerin that is greater than 2 you can assume that it is significant.
I hope it helps!
Answer
a decrease of 0.2 gallons per second
Explanation
The drain was open for 30 seconds.
The water that ran out for 30 seconds = 20 - 14
= 6 gallons
Rate of decrease = (change in gallons)/(time taken)
= 6/30
= 0.2
The rate of change in the amount of water remaining in the tub per second will be the same as the one that ran out since the outlet is the same.
So the correct answer from the choices is "a decrease of 0.2 gallons per second".
