Kirti knows the following information from a study on cold medicine that included 60 participants: 30 participants in total rece
ived cold medicine. 26 participants in total had a cold that lasted longer than 7 days. 14 participants received cold medicine but had a cold that lasted longer than 7 days. Can you help Kirti organize the results into a two-way frequency table?
1 answer:
The frequency table is attached.
Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.
Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.
14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.
30-14=16 people received medicine and had a cold less than or equal to 7 days.
30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.
Since there were 30 people out of the 60 that received cold medicine, that means that 60-30=30 people did not.
Since 26 people had a cold longer than 7 days, this means 60-26=34 had a cold that was less than or equal to 7 days.
14 people had a cold longer than 7 days and received medicine; this means that 26-14=12 people had a cold longer than 7 days and did not receive medicine.
30-14=16 people received medicine and had a cold less than or equal to 7 days.
30-12=18 people did not receive medicine and had a cold less than or equal to 7 days.
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<h3><u>Question:</u></h3>
In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5
<h3><u>Answer:</u></h3>OPTION D
The exponent in Sam’s product is -5
<h3><u>Solution:</u></h3>Given that,
In math class, Sam correctly multiplied by 500, then reported his product in scientific notation.
<em><u>To find: exponent in Sam’s product</u></em>
Let us first multiply 500 with
Then Sam has reported this answer in scientific notation
Lets understand what is scientific notation of any number.
Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.
Let us rewrite the Sam's answer in scientific notation
<em><u>The format for writing a number in scientific notation is:</u></em>
(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).
In , we move the decimal 3 times to left side
Since the decimal is moved left side, we multiply by
Exponent is a quantity representing the power to which a given number or expression is to be raised
So in exponent is -5