Total no. of hours you spent biking = 2 hours
the speed at which you rode your bike ≤ 17.6 mph
Now,
We have,




So, you for given conditions, you can't travel more then 35.3 miles
So, the inequality for the given circumstances is:
x ≤ 35.2
Number of books each of them have:
Jaime: x
Grant: x - 6
Ky: 3 (x - 6)
There are 176 books in total, so we can write it down as:
176 = x + x - 6 + 3 (x - 6)
176 = x + x - 6 + 3 * x + 3 * (-6)
176 = x + x - 6 + 3x - 18
176 = 2x - 6 + 3x - 18
176 = 5x - 24 / + 24 (both sides)
5x = 200 / ÷ 5 (both sides)
x = 40
Doublecheck:
Jamie: 40
Grant: 40 - 6 = 34
Ky: 3 (40 - 6) = 3 * 34 = 102
102 + 34 + 40 = 176, so it's correct :)
<u>Answer:</u>
Broker1 with $66.
Broker2 with $54.25
Broker4 with $50
Broker3 with $47.5
Broker5 with $33.5
<u>Explanation :
</u>
Total number of shares Cindy have : 300
Market Price per share : $25
Total price for the shares : 300
$25
= $7500
Now ,
<u>Case 1:
</u>
Commission provided by broker1 = 0.75%
Online fees provided by broker1 = $ 10
Total price provided by broker1= 
=$66.25
<u>Case 2: </u>
Commission provided by broker2= 0.5%
Online fees provided by broker2=$17
Total price provided by broker2= 
=$54.5
<u>Case 3:
</u>
Commission provided by broker 3= 0.6% for 100 0r few
Not applicable because the total shares are 300
For over 100 shares
Commission provided= 0.5%
Online fees = $10
Total price = 
=$47.5
<u>Case 4:
</u>
For more than 100 shares
Online fees for buying and sharing= $50
Total price = $50
<u>Case5 :
</u>
Commision for a share bought or sold = 0.05%
Online fees =$30
Total Price= 
=$33.75
Answer:
The minimum score required for admission is 21.9.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?
Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So




The minimum score required for admission is 21.9.
The answer might be B, but realize if a circle is shifting both y and x can’t decrease.. and both cant increase at the same time.