Answer:
Percentage of the students scored higher than 89% = 65.87%
Step-by-step explanation:
We need to find the percentage of students who scored higher than 89% given mean = 84 and standard deviation = 5.
We can find the percentage of students who scored higher than 89% by using z-score.
The formula for z-score is:
μ= mean = 84
σ=standard deviation = 5
x= random number = 89
Putting these values, we get
Now, we know that we need to find students who score greater than 89%
so P(X>89) or P(X>1),
finding value of z= 1 which can be easily found using z score tables.
By looking at table we get the value of z = 0.3413
Subtracting the value of z from 1 we get
Percentage of the students scored higher than 89% = 1-0.3413 = 0.6587 or 65.87%
Volume of a conical funnel = π r² h/3
v = 3.14 * (2in)² * 6in/3
v = 3.14 * 4in² * 2in
v = 25.12 in³
25.12 in³ ÷ 10 in³ per minute = 2.512 minutes
It will take 2.51 minutes for all the liquid to pass through the nozzle.
Answer:
b
Step-by-step explanation:
It can expand by 48600.
By depositing 5400 this represents the 10 percent that needs to be reserved. multiply 5400 by 10 to get 100 percent that could be loaned or created. 54000 subtract the initial 10 percent of 5400 to get 48600 difference or new money that could be created.