A deck has 52 cards
A deck has 25 black cards.
A deck has 4 "4" cards but 2 of them are black, therefore 2 red
P(black or 4) = (25 + 2) / 52 = 27/52
Standard deviation is calculated by
1. calculate mean, m
2. calculate deviation of EACH entry of data set from the mean, i.e.
d=(x-m)
3. calculate mean of square of deviations (d^2)/n to get variance,v
4. take square-root of variance to get standard deviation.
For example,
To find the standard deviation of data set {3,7,8}
1. mean=(3+7+8)/3=6
2. deviations, di={3-6,7-6,8-6}={-3,1,2}
3. squares of deviations, di^2={9,1,4}
4. mean of squares of deviations=(9+1+4)/3=14/3
Standard deviation=sqrt(14/3)=2.16
For the given data set, if you follow the above steps, you would get
sum=400
mean=400/9
variance (mean square of deviations)=8246/81
standard deviation=sqrt(8246/81)=sqrt(8246)/9
Answer:
6.58 has the greatest value
6.362 < 6.5 < 6.537 < 6.58
You use the distance distance formula d √︎(x₂-x₁)+(y₂-y₁) on this as well as y=mx+b.
With mx+b you find your second set of coordinates. With the distance formula you get your square root.
So y=-3x+10 well send you 10 up the y intercept the, neg 3 down, and positive one across the x axis.
This gives you your second set of coordinates (1,7) to go with your first set.
You apply both sets of coordinates to the distance formula. d √︎(x₂-x₁)+(y₂-y₁)
You get √︎(1-(-6))+(7-8)
Then √︎7-1
Finally √︎6
And √︎6 is between 2*2 and 3*3
Rough guess, the Sq root of 6 is 2.449 or rounded to the hundredth 2.45
Answer:
0, 2 . . . . . (any pair of consecutive even integers)
Step-by-step explanation:
You want a pair of consecutive even integers such that twice the lesser is 4 less than two times the greater.
<h3>Setup</h3>
Let x represent the lesser of the two even integers. Then the greater is (x+2) and the given relation is ...
2x = 2(x+2) -4
<h3>Solution</h3>
Simplifying gives ...
2x = 2x +4 -4
2x = 2x . . . . . . . true for any even integer x
Any pair of consecutive even integers will satisfy the relation.
one such pair is 0, 2
<em>check</em>: 2(2) -4 = 2(0)
