-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I add these equations term by term
8x - 3y = 2
-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I add these eq.
-x -y = 56
8x - 3y = 2
-x -y = 56
this is the system after i reduce it ( it has only two variables x and y)
Answer:
least to greatest are:
-2.5, -2.47, -2/5, 5, 21/4
Answer:
The mass of the grains = 120 ± 1 g
Step-by-step explanation:
we are given the following:
Total mass of container + grains = 185 grams
Mass of container = 65 grams
Therefore, mass of grains is calculated as follows:
Mass of grains = ( Mass of container + grains) - mass of container
= 185 - 65 = 120 grams.
since the scale has an absolute uncertainty of 1 g, the mass of the grains is written as 120 ± 1 g
If we let x be the width of the garden, then x+4 will be the length. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs.
12² = (x)² + (x + 4)²
Simplifying,
144 = x² + x² + 8x + 16
Further simplification,
144 = 2x² + 8x + 16
x² + 4x - 128 = 0
The value of x from the equation is 6.2 ft. The length is then equal to 10.2 ft.
The answer to this item is the second choice.
Given:
μ = 50 g, the mean
Let σ = the standard deviation.
For the random variable x =55 g, the z-score is
z = (55 - 50)/σ
We know that P(x > 55) =0.14 (14%).
From standard tables,
P(x > 55) = 0.14 => z = 0.36 (see the figure below).
Therefore
(55 - 50)/σ = 0.36
5/σ = 0.36
σ = 13.9
Answer: 13.9 grams
