What is linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
2x + 5xy - 3 = 0
x (2 + 5y) -3 = 0
x ( 2 + 5y ) = 3
2 + 5y = 3 / x
5y = (3/x) - 2
y = ( (3/x) - 2) / 5
According to the graph i don't think it's a linear equation.
Answer:
(a) The percent of her laps that are completed in less than 130 seconds is 55%.
(b) The fastest 3% of her laps are under 125.42 seconds.
(c) The middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of seconds for a randomly selected lap.
The random variable <em>X </em>is normally distributed with mean, <em>μ</em> = 129.71 seconds and standard deviation, <em>σ</em> = 2.28 seconds.
Thus, .
(a)
Compute the probability that a lap is completes in less than 130 seconds as follows:
The percentage is, 0.55 × 100 = 55%.
Thus, the percent of her laps that are completed in less than 130 seconds is 55%.
(b)
Let <em>x</em> represents the 3rd percentile.
That is, P (X < x) = 0.03.
⇒ P (Z < z) = 0.03
The value of <em>z</em> for the above probability is:
<em>z</em> = -1.88
Compute the value of <em>x</em> as follows:
Thus, the fastest 3% of her laps are under 125.42 seconds.
(c)
Let <em>x</em>₁ and <em>x</em>₂ be the values between which the middle 80% of the distribution lie.
That is,
The value of <em>z</em> for the above probability is:
<em>z</em> = 1.28
Compute the values of <em>x</em>₁ and <em>x</em>₂ as follows:
Thus, the middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.
Answer:
See attachment for cube
Step-by-step explanation:
Given
Required
The net of the cuboid
A cuboid has 6 faces.
The dimension of these faces are:
Length and Width; Length and Height;
Length and Width; Length and Height;
Width and Height; Width and Height;
This means that the faces will have the following dimensions:
6cm by 3cm; 6cm by 2cm
6cm by 3cm; 6cm by 2cm
3cm by 2cm; 3cm by 2 cm
Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.
<em>See attachment for net of the cuboid</em>
