R is (-3,8)
to get from p’ to q’, you subtract 7 from the x’ value, and add 5 to the y’ value. so you do the same to get from q’ to r’
To answer, we let x be the 4th term. We use the concept of geometric mean in order to answer this question. The ratio of the fourth term and the third term is equal to the ratio of the fifth term and the fourth term. That is,
x/40 = 10/x
The values of x from the equation are 20 and -20.
Answer:
perpendicular lines
Step-by-step explanation:
when the two equation are written in slope intercept form:
y = -4x -7
y = 1/4x -2
the slopes are opposite reciprocals which means they are perpendicular
Answer:
a) 3.5
b) 3.33
c) 
Step-by-step explanation:
As given,
A fair die is rolled 10 times
a)
Expected value of Sum of the number in 10 rolls = 
= 3.5
∴ we get
Expected value of Sum of the number in 10 rolls = 3.5
b)
Ley Y : number of multiples of 3
Y be Binomial
Y - B(n = 10, p =
)
Now,
Expected value = E(Y) = np = 10×
= 3.33
c)
Let m = total number of faces in a die
⇒m = 6
As die is roll 10 times
⇒n = 10
Now,
Let Y = number of different faces appears
Now,
Expected value, E(Y) = m - m
= 