Answer:
(x + 8) / 4 = (x - 3) / 2 | *4
x + 8 = 2 * (x - 3)
x + 8 = 2 * x - 6
8 = x - 6
14 = x
The number is 14.
(14 + 8) / 4 = (14 - 3) / 2
22 / 4 = 11 / 2
5.5 = 5.5
Answer:
Step-by-step explanation:
the bearing of A from B is 065º. ... A boat sails from a
Represent the length and width by L and W. Then L = W + 4.
Using the perimeter formula: P = 2L + 2W = 68 ft = 2W) + 2(W+4).
Solve for W: 68 = 2W + 2W + 8, or 4W = 60. Thus, W = 15 and L = 19.
The dimensions of the rectangle are 15 by 19 feet.
It's called the least squares method because the parameters of the regression line are adjusted in such a way that the sum of squares of the difference (between the actual and predicted values) is a minimum.
Answer:
1.844
Step-by-step explanation:
Given that final exam has 20 multiple choices questions. 10 questions have 5 choices and 10 questions have 4 choices.
So we divide the questions into two groups I and II.
The no of correct answers in I is called U.
U is binomial with n =10 and p = 0.2
Similarly II group, V the no of correct answers would be binomial
with n =10 and p = 0.25
Our random variable X= U+V
Obviously U and V are independent.
We have var (U) = npq = 1.6
Var (V) = npq = 1.875
Var(X) = Var(U+V)
= Var(U)+Var(V) since U and V are independent
= 3.4
STd dev (X) = 