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tangare [24]
4 years ago
13

Find the outlier in the following set of data 6.1,0.6,4.9,6.6,5.9,3.3,5.1,5.4

Mathematics
1 answer:
eimsori [14]4 years ago
7 0

.6 because it is very low compared to the other numbers

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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is  

\large P(X>t) = e^{-t/10}

a)  

1 hour = 60 minutes, so the probability that you wait longer than one hour is

\large P(X>60)=e^{-6}=0.0025

b)

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

\large P(X\leq 10)=1-e^{-6}=0.9975

c)

We want x so that

P(X>x)=0.1

\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes

d)

We want P(X<x)=0.9

\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes

4 0
3 years ago
QUESTIONS
Arlecino [84]

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

8 0
3 years ago
The equation of line L, is y = 5x + 1
Lynna [10]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 1 ← is in slope- intercept form

with slope m = 5

Rearrange 2y - 10x + 3 = 0 into this form

Add 10x to both sides

2y = 10x ( subtract 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - \frac{3}{2} ← in slope- intercept form

with slope m = 5

Since both lines have a slope of 5 then they are parallel.

4 0
4 years ago
Rounding to the nearest dollar?
Verizon [17]
If you have for example 
19.90$ you round it as 20 
if u have 19.05 you have it as 19 only because its not near to the next number to it
7 0
3 years ago
Given the center (h,k) = (5,0) and radius r=3, write and equation for the circle in standard form
Len [333]

Answer

B)(x-5)^{2} + y^{2} = 9


Step by step explanation

The standard form of circle when center(h, k) and radius r, given is

(x - h)^2 + (y - k)^2 = r^2

Given: (h, k) = (5, 0) and r = 3

Now plug in these values in the standard form, we get

(x - 5)^2 + (y - 0)^2 = 3^2

(x- 5)^{2} + y^{2} = 9

Therefore, the answer is B) (x-5)^{2}  + y^{2} = 9

Thank you :)

3 0
3 years ago
Read 2 more answers
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