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lakkis [162]
3 years ago
9

g We have 5 red and 10 blue devices. The probability of the failure for the red devices is 1/2 while the probability of the fail

ure for the blue devices is 1/4. If we randomly pick a device, what is the probability of its failure
Mathematics
1 answer:
joja [24]3 years ago
3 0

Answer:

5 / 8

Step-by-step explanation:

Given :

Red devices = 5

Blue devices = 10

P(red failure) = 1/2

P(blue failure) = 1/4

Probability of failure if we pick a device equals ; P(red failure) or P(bue failure) =P(RuB)

P(RuB) = P(red failure) + P(Blue failure) - P(RnB)

P(RnB)

P(P(red failure) * P(Blue failure)

1 / 2 * 1/ 4

= 1/ 8

P(RuB) = P(red failure) + P(Blue failure) - P(RnB)

P(RuB) = 1/2 + 1/4 - 1/8

P(RuB) = 3/4 - 1/8 = (6 - 1) / 8 = 5/8

Hence, probability of failure is 5/8

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4 0
3 years ago
Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
sveticcg [70]

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

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3 years ago
Which equation describes the graph?<br><br> Y=-|x+2|<br> Y=-|x|+2<br> Y=-|x-2|<br> Y=-|x|-2
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Answer:

y = -|x|+2

Step-by-step explanation:

The graph represents y = |x| where the given graph opens upside down so it's negative and +2 translation towards the top

Answered by GAUTHMATH

5 0
3 years ago
6. Find the area of the triangle below.<br> Be sure to include the correct unit in your answer.
snow_tiger [21]

Answer:

512

Step-by-step explanation: area of triangle= 1/2*base*height

4 0
4 years ago
Read 2 more answers
Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A
belka [17]

Answer:

a) y=0.00991 x +1.042  

b) r^2 = 0.7503^2 = 0.563

c) r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

y = mx +b

Wehre

m=\frac{S_{xy}}{S_{xx}}  

And:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625  

And the slope would be:  

m=\frac{625}{63085.714}=0.00991  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429  

\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7  

And we can find the intercept using this:  

b=\bar y -m \bar x=7-(0.00991*601.429)=1.042  

And the line would be:

y=0.00991 x +1.042  

Part b

The correlation coefficient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=7 \sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354  

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

The determination coefficient is given by:

r^2 = 0.7503^2 = 0.563

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503  

4 0
3 years ago
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