Simplify 24+4x-6(2x-5)
2 answers:
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The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.
<h3>What is a standard deviation?</h3>It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The set of data is given below.
16, 22, 8, 5, 20, 18, 14, 17, 24
The mean of the data set will be
μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9
μ = 144 / 9
μ = 16
Then the standard deviation of the data set will be
Simplify the expression further, then we have
σ = √34.44
σ = 5.87
The mean and standard deviation for the set of data will be 16 and 5.87.
Then the correct option is A.
More about the standard deviation link is given below.
#SPJ1
Answer:
[See Below]
Step-by-step explanation:
Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).
So we work out the sum of missing fractions:
And so we know the fractions in the missing boxes must add up to .
This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so
.
So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.
Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.
(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)
