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IgorC [24]
3 years ago
10

A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains 8 tags, numbered 20 th

rough 27, with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags(A) 13.5(B) 14.5(C) 15.0(D) 27.0(E) 29.0
Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

E) 29.0

Step-by-step explanation:

The value of the sum is obtained from 2 independent experiments: the value of the number of the first box X₁ and the value of the number of the second box X₂.

The expected value of a draw is the average of all its values, so E(X₁) = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5 and E(X₂) = (20+21+22+23+24+25+26+27)/8 = 23.5

Hence, E(X₁+X₂) = E(X₁)+E(X₂) = 5.5+23.5=29

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Write each equation in slope-intercept form (3,4); and (-6,-2)
Alborosie

Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

y = 2/3x + 2

7 0
2 years ago
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Tree times the sum of ten and a number is 25. What is the number? <br><br> (Fraction)
ella [17]

Answer:

Step-by-step explanation:

3(10+n) = 25

30 +3n =25

30-30 and 25-30=

3n=-5

3/3 and 5/-3

6 0
3 years ago
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Please solve for g!!!!
laiz [17]
The answer to the question

3 0
3 years ago
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David is shoveling driveways to raise money for his Spring
Anna007 [38]

Answer:

Total savings  = $63  +  12 ( m)  

: m  = number of driveways shoveled

Step-by-step explanation:

Here, the money earned for each road David shovels = $15

The number of driveway shoveled by David = 12

The total money saved  David has after he is done with his work = $243

Now, The number of money saved by shoving 12 driveways  

= 12 x ( Money earned by shoveling 1 driveway)

= 12 x ( $15) = $ 180

Total savings  = His previous savings  + Money earned from Shovel work

⇒  $243  =   His previous savings + $ 180

⇒ His previous savings = $243  - $180 = $63

Now, we can write his total savings as:

Total savings  = $63  + 12 ( m)  

: m  = number of driveways shoveled

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3 years ago
-7/10 divided by 2/5 in it's simplest form
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3 years ago
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