Item 2 Solve the equation. 6.7x=5.2x+12.3
1 answer:
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The scale factor of the similar triangles is: 1/2. The value of x is: 4.5 cm.
<h3>Scale Factor of Similar Triangles</h3>Scale factor of similar triangles is the ratio of their corresponding sides.
Given the two similar triangles in the diagram attached below, we have the following scale factor as:
Scale factor = 2/4 = 1/2
Therefore:
x = 1/2 × 9
x = 4.5 cm.
Therefore, the scale factor of the similar triangles is: 1/2. The value of x is: 4.5 cm.
Learn more about scale factor on:
Answer:
the probability of no defects in 10 feet of steel = 0.1353
Step-by-step explanation:
GIven that:
A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.
Let consider β to be the average value for defecting
So;
β = 2
Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.
Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2
i.e
the probability mass function can be represented as follows:
where;
y = 0,1,2,3 ...
Hence, the probability of no defects in 10 feet of steel
y = 0
P(y =0) = 0.1353