Answer:
D
Step-by-step explanation:
We calculate the z-score for each
Mathematically;
z-score = (x-mean)/SD
z1 = (1.9-2.1)/0.2 = -1
z2 = (2.3-2.1)/0.2 = 1
So the proportion we want to calculate is;
P(-1<x<1)
We use the standard score table for this ;
P(-1<x<1) = P(x<1) -P(x<-1) = 0.68269 which is approximately 68%
Proportional mate try that maybe then
Answer: 
Step-by-step explanation:
Given
The force between the two particles is inversely proportional to the distance between them

When the distance is 2 m, the force is 10 N. For 5 m distance, it is

Thus, the force between them is
Let
x ------> number of switch type A
y -----> number of switch type B
so
Remember that
1 hour=60 min
32 hours=32*60=1,920 minutes
4x+5y=1,920 -------> equation 1
3x+5y=1,740 ------> equation 2
Solve the system of equations
Solve by graphing
using a graphing tool
see the attached figure
Solution is
x=180
y=240
therefore
<h2>the number of switch type A was 180</h2><h2>the number of switch type B was 240</h2>
Answer:
413.126
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 405
Standard deviation (s) = 19
Weight of fruit will be greater than how many grams (x) if picked 17% of the time:
P(Z > x) = 0.17 ;
The Zscore for P(Z > x) = 0.17 equals 0.954 (Z probability calculator)
Zscore = (x - m) / s
0.954 = (x - 405) / 19
0.954 * 19 = x - 405
18.126 = x - 405
x = 18.126 + 405
x = 423.126
Weight will be greater than 423.126