A shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02,
1 answer:
Answer:
Step-by-step explanation:
Given that a shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively.
Required probability = the probability for the shuttle to be launched on time
= Probability that all three do not fail
Since each key device is independent of the other
we have
prob that all three do not fail =
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the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope =
Substitute the values for both B and C coordinates, we have
Slope =
Find the difference for both the numerator and denominator
Slope =
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
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Given:
The given table represents the ingredient need to make 4 muffins.
To find:
The amount of flour needed to make 12 muffins.
Solution:
We have, the data for 4 muffins.
From the given table it is clear that,
Flour need for 4 muffins = 250 g
Flour need for 1 muffins = g
Flour need for 12 muffins = g
= g
= g
So, 750 g flour is need to make 12 muffins.
Therefore, the correct option is D.