Write 15 cookies to 40 brownies as a ratio in simplest form.
2 answers:
if we write the ratio 15 cookies to 40 cookies we will get the following ratio
15:40
to write in simplest form we have to find the highest common factor for both 15 and 40
the factors for both 15 and 40 are as follows
15 - 1,3,5,15
40 - 1,2,4,5,8,10,20,40
the highest common factor is 5
so we have to divide both ny 5 to get the simplest form
ratio in the simplest form is 3:8
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Answer:
<em>Standard deviation for the number of people with the genetic mutation = 4.178</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
<em>Mean of the binomial distribution ' μ ' =18</em>
<em>Standard deviation of the binomial distribution</em>
<em> σ = </em>
<u><em>Conclusion:</em></u><em>-</em>
<em>Standard deviation for the number of people with the genetic mutation = 4.178</em>
Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m==12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.