The number of Grade 6 students were asked in total is 100 students.
<h3>How to calculate the value?</h3>
Let the number of students who choose Natural History be x.
Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50
The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:
1/3 = x/x+50
Cross multiply
3x = x + 50
Collect like terms
3x - x = 50.
2x = 50
Divide
x = 50/2
x = 25
Also, x + 50 = 25 + 50 = 75
The number of Grade 6 students that were asked will be:
= 25 + 75
= 100
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Answer:
Step-by-step explanation:
From the information given:
For Adult Men
Mean
= 69.5
Standard deviation
= 2.4
observed value X = 74
For Adult Women
Mean
= 63.8
Standard deviation
= 2.6
observed value X = 70
Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex
For Adult Men :



z = 1.875
For Adult Women :



z = 2.3846
Thus; we can conclude that , the women is more unusually tall within his or her respective sex
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Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of
and the second line has a slope of
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:



We now know that
for the first line, which means that the slope of the second line is
. With this, we have the following equation for our new line:

where
is the Y-intercept that we now need to determine with the coordinates given in the problem statement,
:




Finally, we can create our line:



Answer:
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Step-by-step explanation: