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Maurinko [17]
3 years ago
11

The consumer price index is

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer: b would be the correct answer

Step-by-step explanation:

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
3 years ago
Find the value of x for which l is parallel to m.
lozanna [386]

I think its the same on both sides so it would be 154 hope this helps and is right have a nice day

8 0
2 years ago
Which statement proves that quadrilateral JKLM is a kite?
sesenic [268]
A quadrilateral is a kite if the diagonals are:

i) perpendicular
ii) bisect each other
iii) not equal ( together with conditions i and ii this would make the quadrilateral a square)


Another definition of the kite is :

a quadrilateral with 2 pairs of equal adjacent sides.


Let's check the choices one by one:

A. <span>∠M is a right angle and MK bisects ∠LMJ.

according to these, ML and MJ may well be not equal...


</span><span>B. LM = JM = 3 and JK = LK = √17.
</span>
this makes the quadrilateral a kite.


<span>C. MK intersects LJ at its midpoint
</span>
if they are not perpendicular, the quadrilateral is not a kite.


<span>D. The slope of MK is –1 and the slope of LJ is 1.

this only means that MK and LJ are perpendicular, but not whether they bisect each other,


Answer: only B</span>
9 0
3 years ago
Read 2 more answers
6
kirill115 [55]
7 of the sweets in the bag are strawberry. Since there are 20 sweets total in the bag, 20 - 7 = 13 sweets in the bag must be non-strawberry.

The probability that a sweet taken at random from the bag is not strawberry would thus be 13/20.
6 0
2 years ago
I am not sure how to answer this
Zina [86]

Answer:

0.613 ...............................

8 0
1 year ago
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