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Aleks [24]
3 years ago
13

A number,Y,is 2 less than half of a number X

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer: y = 0.5x - 2

Step-by-step explanation: 0.5x = half of a number X

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If jobs arrive every 15 seconds on average, what is the probability of waiting more than 30 seconds?
Aleksandr [31]

Answer: 0.14

Step-by-step explanation:

Given: Mean : \lambda=15\text{ per seconds}

In minutes , Mean : \lambda=4\text{ per minute}

The exponential distribution function with parameter \lambda  is given by :-

f(t)=\lambda e^{-\lambda t}, \text{ for }x\geq0

The probability of waiting more than 30 seconds i.e. 0.5 minutes is given by the exponential function :-

P(X\geq0.5)=1-P(X\leq0.5)\\\\=1-\int^{0.5}_{0}4e^{-4t}dt\\\\=1-[-e^{-4t}]^{0.5}_{0}\\\\=1-(1-e^{-2})=1-0.86=0.14

Hence, the probability of waiting more than 30 seconds = 0.14

5 0
4 years ago
What is the mean absolute deviation of the data set?<br><br> 2, 2, 5, 6, 8, 4, 8, 5
DedPeter [7]

ANSWER

The mean absolute deviation is 1.75

EXPLANATION

The given date set is 2, 2, 5, 6, 8, 4, 8, 5

The mean is

\bar X =  \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8}  = 5

The mean absolute value deviation is given by:

=\frac{ \sum |x -\bar X| }{n}

=  \frac{ | 2 - 5|  +  |2 - 5|+  |5- 5|+  |6 - 5|+  |8 - 5| +  |4 - 5|+  |8- 5|+  |5 - 5| }{8}

=  \frac{ 3  +  3+ 0+  1+  3 + 1+3+  0}{8}

=  \frac{14}{8}

= 1.75

7 0
3 years ago
Simply 22.5+7(n-3.4)
Bumek [7]
The answer is 7n-1.3. Use the distributive property to multiply 7 by n-3.4. Subtract like terms and it's simplified
3 0
4 years ago
Which expression is equivalent to the given expression? 17x−32x A. x(32−17) B. 17(x−32) C. 17x(1−32) D. x(17−32)
Olegator [25]
D is correct
good luck
6 0
3 years ago
Read 2 more answers
21/4 times the quantity 51/2 minus k<br> Need help writing a expression for this phrase
mart [117]

Answer:

21/4 x 51/2 - k use the app Photomate if wrong

5 0
3 years ago
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