Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
Answer:
(-5,-4)x=45
Step-by-step explanation:
<h3>
Answer: B. (10, -20)</h3>
Apply substitution
y = -5x + 30
y = -5*10 + 30 ... replace x with 10, since x = 10 is given
y = -50 + 30
y = -20
So x = 10 and y = -20 pair up to form the solution of the system.
Answer: 96.2%
Step-by-step explanation:
Assume that the heights of American men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of American men.
µ = mean height
σ = standard deviation
From the information given,
µ = 69.0 inches
σ = 2.8 inches
the probability of men that have heights between 64 and 78 inches is expressed as
P(64 ≤ x ≤ 78)
For x = 64,
z = (64 - 69)/2.8 = - 1.79
Looking at the normal distribution table, the probability corresponding to the z score is 0.037
For x = 78,
z = (78 - 69)/2.8 = 3.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.999
Therefore,
P(64 ≤ x ≤ 78) = 0.999 - 0.037 = 0.962
Therefore, the percent of men meeting these height requirements is
0.962 × 100 = 96.2%
Area of a square is defined as
Area = (side)^2
Let's start with square p. Square p has area = 17cm^2
Plug 17cm^2 into our area formula
17cm^2 = (side)^2. Take the square root of each side.
Sqrt(17) cm = side.
Every side for square p = sqrt(17) cm.
Next, square R has an area of 50 cm^2. Plug that into our formula.
50 cm^2 = (side)^2. Take the square root of each side.
Sqrt(50) = side.
Every side for square R = sqrt(50)
We now have one leg and the hypotenuse of a right triangle. Plug this into the pythagorean theorem.
b is the length of a side for square Q
(Sqrt(17))^2 + b^2 = (sqrt(50))^2. Square every term.
17 + b^2 = 50. Subtract 17 from both sides.
b^2 = 33. Take the square root of each side.
b = sqrt(33)
Each side of square Q = sqrt(33).
Plug sqrt(33) into our area formula.
A = (sqrt(33))^2. Solve for A
A = 33.
The area of square Q = 33 square centimeters.