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Answer: 9 and 3/7
Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.
We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.
We can change to the improper fraction 30/7.
We can also change to the improper fraction 11/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.
Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.
66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.
Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7
The elements are :
<span> 2,3,5,8,2.03,2.20,2.6,4.5
n = 8
</span>μ = ( <span>2 + 3 + 5 + 8 + 2.03 + 2.20 + 2.6 + 4.5 )/8 = 3.66625
sum = (</span> 2 - <span>3.66625)² + ( 3 </span><span>- 3.66625)² + ( 5 </span><span>- 3.66625)² + ( 8 </span><span>- 3.66625)² +
( 2.03 </span><span>- 3.66625)² + ( 2.20 </span><span>- 3.66625)² + ( 2.6 </span><span>- 3.66625)² + ( 4.5 </span>- <span>3.66625)²
= 30.44
∴ </span>The standard deviation = √ (30.44 / 8)
≈ 1.95 ( <span>to the nearest hundredth )</span>