We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
Answer:
the line containing them lies in the plane.
Step-by-step explanation:
If two planes intersect, then their intersection is a line.
The ratio of the length of each side of the triangle to that of the hexagon is
<h3>What is equilateral triangle?</h3>
The triangle which has all the three sides equal in dimension is called the equilateral triangle.
According to the question,
Area of triangle = Area of rhombus = Area of hexagon
1/2 base x height = 1/2 diagonal1 xdiagonal2 = (3√3 / 2) side²
The triangle has equal base and height = a.
The hexagon has each side measuring b.
1/2 a² = (3√3 / 2) b²
Ratio of sides of triangle and hexagon is
a²/b² = 3√3
a/b = √ 5.19615
a/b = 2.2795
Thus, the ratio of each side of the triangle to that of the hexagon is 2.2795.
Learn more about equilateral triangle.
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Answer:
is the required matrix form.
Step-by-step explanation:
Here, the given system of equation is:
5 x + 4 y = -14,
3 x + 6 y = 6
In a system of equation, the matrix for is given as
AX = b
Here, A = Co-efficient Matrix, X = Variable Matrix and B = Constant Matrix
Considering the given system:
Co-efficient Matrix(A) =
Variable Matrix(X) =
Constant Matrix(b) =
Hence, the combined matrix form of AX = b is
There are 128 ounces in 1 gallon. 128 divided by 3 is 42.6 (the six repeats). so therefore you are adding 42.6 ounces of cleaning solution to 85.3 ounces of water