Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples can be 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:

Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645




Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645




Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Answer:
Function: 
Not Function:
and 
Step-by-step explanation:
Given



Required
Determine if
is a function of 
Solving x+y=9

Make y the subject of formula

<em>Hence; y is a function of x</em>
Solving 

Subtract x² from both sides

Square root of both sides

This implies that
or 
<em>Because </em>
<em> can be any of those two expressions, it is not a function.</em>
Solving 

Reorder

Take square roots

This implies that
or 
<em>Because </em>
<em> can be any of those two expressions, it is not a function.</em>
Answer:
8. 24.5
9. 29.6
Step-by-step explanation:
The first one shows 1 cm and 7 mm, we need to convert 7 mm to cm
1 cm + 7 mm
= 1 cm +

cm
= 1 cm + 0.7 cm
= 1.7 cm
The first one is 1.7 cmThe second one shows 11 inches and 5/16 inches. Between number 11 and 12, there are 16 strips and the pointer lies on fifth strip, thus it show 5/16 inches.
The second one is 11
inches.The third one shows 13 cm and 8 mm. We need to convert mm into cm.
13 cm + 8 mm
= 13 cm + 0.8 cm
= 13.8 cm
The third one is 13.8 mm
Answer:
-53-27x
Step-by-step explanation:
Answer attached...
Hope it helps :)