Answer:
44, 21
Step-by-step explanation:
x+y = 2x-23
x-y = 2y - 19
Rewrite
-x + y = -23
x - 3y = -19
Use elimination.
Answer:
<u>The answer is :</u>
<u>x₁ = 4</u>
<u>x₂ = -4</u>
Step-by-step explanation:
Let's solve the equation using square roots.
X^2+16=0
x² + 16 = 0
x² = -16 (Adding 16 at both sides of the equation)
√x² = i√16 (Square root to both sides of the equation)
x = +/- 4i (Roots of the solution)
<u>x₁ = 4i</u>
<u>x₂ = -4i</u>
Answer:
Step-by-step explanation:
Assuming that the patio is a rectangle, we have
Where 
is the length and 
is the width.
Now let's assume that the length of the patio is double than the width.
So, the equation that represents this problem is
Answer:
This question does not make since.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the distance travelled on 1 gallon of fuel is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the distance travelled.
µ = mean distance
σ = standard deviation
From the information given,
µ = 50 miles
σ = 8 miles
A) P(x > 53) = 1 - P(x ≤ 53)
For x = 53,
z = (53 - 50)/8 = 0.38
Looking at the normal distribution table, the probability value corresponding to the z score is 0.648
B) P(x < 42)
For x = 42
z = (42 - 50)/8 = - 1
Looking at the normal distribution table, the probability value corresponding to the z score is 0.1587
C) P(44 ≤ x ≤ 53)
For x = 44
z = (44 - 50)/8 = - 0.75
Looking at the normal distribution table, the probability value corresponding to the z score is 0.2266
For x = 55,
z = (55 - 50)/8 = 0.63
Looking at the normal distribution table, the probability value corresponding to the z score is 0.7357
Therefore,
P(44 ≤ x ≤ 53) = 0.7357 - 0.2266 = 0.5091
