Answer:
a
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
120/30=4
150/30=5
120/150=4/5
Answer with explanation:
Since there is no information provided on what options to determine the proportional relationship, so I will be demonstrating using examples and telling the method to compare the average running speeds.
Consider a group of 3 friends named Charles, Beck and Anna.
As they wanted to compare their average running speeds, they recorded the distance and amount of time each person ran one saturday morning.
To calculate Average Speed, we use:
Average Speed = 
Example:
Charles Ran:
5 km in 30 minutes
Beck Ran :
2 km in 25 minutes
Anna Ran:
4 km in 20 minutes
Average speed of Charles = 
Average speed of Beck = 
Average speed of Anna =
<em>Here, we can see from comparison that Average running speed of Anna is the most.</em>
Speed of Beck is proportional to both Charles and Anna.
Charles' Speed =2 (Beck's Speed)
Anna's Speed =2.5 (Beck's Speed)
To solve this problem,lets say that
X = the weight of the machine components. <span>
<span>X is normally distributed with mean=8.5 and sd=0.09
We need to find x1 and x2 such that
P(X<x1)=0.03 and P(X>x2)=0.03
<span>Standardizing:
<span>P( Z< (x1 - 8.5)/0.09 ) =0.03
P(Z > (x2 - 8.5)/0.09 ) =0.03.
<span>From the Z standard table, we can see that approximately P
= 0.03 is achieved when Z equals to:</span></span></span></span></span>
<span>z = -1.88 and z= 1.88</span>
Therefore,
P(Z<-1.88)=0.03 and P(Z>1.88)=0.03 <span>
So,
(x1 - 8.5)/0.09 = -1.88 and
(x2 - 8.5)/0.09 =1.88
Solving for x1 and x2:
<span>x1=-1.88(0.09) + 8.5 and
<span>x2=1.88(0.09) + 8.5
<span>Which yields:
<span><span>x1 = 8.33 g</span>
<span>x2 = 8.67 g</span></span></span></span></span></span>
<span>Answer: The bottom 3 is separated by the weight
8.33 g and the top 3 by the weight 8.67 g.</span>