If triangle JKL s congruent to triangle RST which congruences are true by CPCTC
1 answer:
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Answer:
The probability that the instrument does not fail in an 8-hour shift is
The probability of at least 1 failure in a 24-hour day is
Step-by-step explanation:
The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:
Let X be the number of failures of a testing instrument.
We know that the mean failures per hour.
(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:
For an 8-hour shift, the mean is
(b) To find the probability of at least 1 failure in a 24-hour day, you need to:
For a 24-hour day, the mean is
Answer:
The cost of 1 Rose Bush= $ 8
The cost of 1 Shrub = $12.
Step-by-step explanation:
The cost of 11 rose bushes and 4 shrubs = $136
The cost of 2 rose bushes and 11 shrubs = $148
Let the cost of one rose bush = $x
and the cost of one shrub = $ y
Now, according to the question:
11 x + 4 y = 136
and 2 x + 11 y = 148
From (1), we get that 11x = 136 - 4y
or,
Substitute this value of x in equation (2), we get
or,
or, 113 y = 1356
or, y = 1356/113 = 12
⇒ y = 12, So
or, x =8 and y = 12 is the solution of the above system.
Hence, the cost of 1 rose bush = $x = $8
and The cost of 1 shrub = $ y = $12.