2. Honestly ur question doesn’t make sense so I just did 1/2 times 4
K added to 10 gives you 4 times the value of K.
If you wanted to solve the expression:
Subtract both sides of the expression, right hand side(10+k) and left hand side(4K), by -k as you want to get rid of the variable to get simply 10 on the LHS.
10+k -k = 4k -k
If we want to subtract k from k then we get 0, and if we want to subtract k from 4k we get 3k. For the sake of simplicity think of k as an object saying if I subtract object A from object A I get zero, and so forth.
We are left with the expression:
10 = 3k
We divide both sides by 3 as to get rid of it from the RHS.
We get a solution 10/3 = k
Answer:
x = 15
Step-by-step explanation:
Opposite angles are equal. Therefore, x = 60 - 45. Which is 15.
Answer:
0.75
Step-by-step explanation:
P(A | B) = P(A and B) / P(B)
P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)
P(vanilla | sundae) = 0.15 / 0.2
P(vanilla | sundae) = 0.75
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