I need help with my math test someone please help
2 answers:
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The fourth coordinate of rectangular piece of material is (2.8 , -2.7)
According to the question,
Charles drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are (-1.4, -2.7), (-1.4,3.7), and (2.8,3.7).
As we know , the opposite sides of rectangle are equal
If we locate these coordinates in our graph and join them
Length of rectangle will be = 2.8+1.4 = 4.2cm
Breadth of rectangle will be = 3.7 + 2.7 = 6.4cm
So, the fourth coordinate should lie 6.4cm far from (2.8,3.7)
Subtracting 6.4 from y-axis,
Fourth coordinate = 3.7 - 6.4
= -2.7
Therefore , The fourth side of rectangle = (2.8 , -2.7)
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Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable:
Therefore,
Variance of binomial random variable:
Therefore,
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.