A box contains 10 tags, numbered 1 through 10, with different numbers on each tag. A second box contains 8 tags, numbered 20 through 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?

Answers

Answer 1

Answer:

29

Step-by-step explanation:

Given that:

Bag 1 : Bag contains 10 tags numbered 1 - 10 with different numbers on each

Bag 2: Another bag with 8 tags numbered from 20 - 27

Two Tags are drawn at random, one from each bag; Expected value of the sum of numbers on the two selected tags :

Expected value = mean of numbers in bag 1 + mean if numbers in bag 2

E(X) = (bag 1 minimum + maximum) / 2 + (bag 2 minimum + maximum) / 2

E(X) = [(1 + 10) / 2] + [(20 + 27) / 2]

E(x) = (11/ 2) + (47/2)

E(x) = 5.5 + 23.5

E(x) = 29

Hence, expected value of sum if numbers from each draw = 29


Related Questions

Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answers

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​

Answers

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

one - fifth of first;

             [tex]\frac{1}{5}[/tex]x

  one - ninth of the second;

            [tex]\frac{1}{9}[/tex](x + 1)

for the "less" ;

         [tex]\frac{1}{5}[/tex]x -  [tex]\frac{1}{9}[/tex](x + 1) = 3

Multiply through by 45

       45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

30 tens – 3 tens 3 tenths

Answers

Answer:

Step-by-step explanation:

30 tens is 30*10=300. 3 tens is 3*10=30 and 3 tenths is 3*0.1. So assuming you mean 30 tens minus 3 tens and 3 tenths, the answer would be 300-30.3 which would equal 269.7

I dont understand this, plz help, will mark Branliest!

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11

Answers

X will equal 11

Work:
-3(x+7)=-12
-3x - -21= -12
-21 + -12= -33
-33/-3 = 11

What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.

Answers

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

Name the property that the statement illustrates.

Answers

Answer:

Symmetric property of angle congruence

symmetric property of angle congruence

What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.

Answers

Answer:

1/84

Step-by-step explanation:

Answer:

1/84

Step-by-step explanation:

2/12 x 1/14

Can be simplified to:

1/12 x 1/7

12 x 7 = 84

1/84

Please let me know if I'm wrong :)

John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?​

Answers

Answer:

59.8

Step-by-step explanation:

20÷100×299

0.2×299

59.8

Rusty is training for a triathlon. He runs 4miles for every 9 miles he bikes. At the end of his training, he has run o total of 92 miles. How many total miles did he bike?

Answers

Answer:

Rusty bikes for 207 miles

Step-by-step explanation:

Because 23 times 4 gives you 92 so you have to also multipy 9 by 23 gives you 207 miles. So Rusty biked for 207 miles. Hoped this helped.

Answer:

207

Step-by-step explanation:

IF f(x) = -3x – 2; FIND f(3)

Answers

Step-by-step explanation:

f(3) = -3(3)-2

=-9-2

=-11

Anyone know the answer ?

Answers

Its A i think. Like ya cut g

Answer:

b

Step-by-step explanation:

hope this helps

WHat is 9 to the the power of infinity timees the number of cubic inches

Answers

Answer:

...infinity cubic inches?

Step-by-step explanation:

Raul has 50 coupon books to sell. The total amount of money Raul will make from selling x coupon books is represented by a function.

f(x)=20x

What is the practical domain of the function?




all integers from 0 to 50, inclusive

all integers from 20 to 50, inclusive

all multiples of 20 between 0 and 1000, inclusive

all real numbers

Answers

The domain of a function is the set of its possible inputs .The output values are called the range.For any  the set of values x can take is called the domain of the function.

The given function is f(x)= 50x .Here x represents number of coupons . f(x) represents The total amount of money Raul will make .

It is given Raul started with 50 coupon books and has already won a prize for selling at least 10 coupon books .

The values x can take or the domain of the function will lie between  10 and 50.

The correct option is  All integers from 0 to 50, inclusive .

Answer:

The answer is 0 to 50

solve the inequality 809>-11+5/8n write the solution in set notation

Answers

Answer:

-798>n

Step-by-step explanation:

emilythompson35464

hope this helps srry if it doesn't tho

Answer:

1312

Step-by-step explanation:

i just did it and got it right

A truck can be rented from Company A for ​$160 a day plus ​$0.40 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

la respuesta correcta es $123.222per mile

Answer: T he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160miles.

Step-by-step explanation:

Step 1

Let us  write the rental cost with each company:

Company A , they will charge =$160 +$ 0.40x

Company B, They will charge = $80 + $0.90x

Where x =number of miles travelled

Step 2

we then find the number of miles in a day at which the rental costs for Company A and Company B will be  the same by equating both equations and solving for x

160 + 0.40x= 80 + 0.90x

160-80 = 0.90x-0.40x

80= 0.50x

x= 80/0.5

x= 160

Therefore t he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160 miles.

Click through and select the graph that correctly shows the following points:

X(-2, 0), Y(3, -5), and Z(0, 3).

Answers

Answer:

The second graph

Step-by-step explanation:

each of the points you listed are graphed on there.

Answer:

the answer is graph number 2

it has X(-2, 0), Y(3, -5), and Z(0, 3) points on it !

A number that is at most 30 as an inequality

Answers

Answer:

n  ⩽ 30

Step-by-step explanation:

plz help im biog help

Answers

Answer:

1.06 = 19.08

x = $5.75

The cost of the cat food is $5.75.

Step-by-step explanation:

Which of these numbers is irrational? O A. - 5 9 O B. 1.618 C. 43 O D. VO​

Answers

Answer:

D) [tex]\sqrt{6}[/tex]

Irrational numbers are numbers that cannot be expressed in the form of p/q where q is not equal to zero.

Here is how to understand if a number irrational or not:

Irrational numbers will have decimal expansions which are non-terminating and non-recurring (no pattern or repetition o certain groups of numbers couldn't be observed and the decimal expansion will not ever end)

EXAMPLE: For non-recurring and non- terminating decimal expansions.

2.258755655554517144516517849616128478462131...................76.2879485165886225568656559781230414746108....................4987.251484561515484513184964989494555121266....................

In the above examples, it can be observed that all the decimal digits had no pattern and they will never end.

In this question, the answer is root 6. but it is not necessary that we have to find the decimal expansion, but we ccanfind it easily just by findinf if the given number is a perfect square or not.

EXAMPLE:

[tex]\sqrt{4}[/tex] is a rational number as 4 is a perfect square.[tex]\sqrt{100}[/tex] is a rational number as 100 is a perfect square.[tex]\sqrt{8}[/tex] is not a rational number as 8 is not a perfect square

Which graph represents the function f(x) = |x|-4?

Answers

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

During a training mission, a battleship was ordered to find a submarine submerged at a depth of 1,220 feet and a fighter jet flying 1,150 feet in the air. On a number line, let 0 represent the battleship’s location, at sea level, with higher elevation on the positive side of 0.

Which number sentence correctly compares the absolute values of the elevations of the submarine and the fighter jet?
A. |-1,220| > |1,150|
B. |-1,220| < |1,150|
C. |1,220| < |-1,150|
D. |1,220| = |-1,150|

Answers

Answer:

B

Step-by-step explanation:

-1220 is negative lower than 0 and 1150 is higher than zero.

I need help! yes I’m this dumb

Find The Unit Rate:
150 students for 5 classes. How many students per class?

Answers

Answer:

30 student

Step-by-step explanation:

150/5=30

Answer:

he unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!

I need help!!! :( pleaseeee

Answers

Answer:

2/8 more days

Step-by-step explanation:

5/8-3/8=2/8

I believe the answer would be 2/8 days:)

NEED HELP ASAP WILL GIVE BRAINLYEST What is the value of this expression? (−7)(−2)+(−15÷3) Enter your answer in the box.

Answers

Answer:

9

Step-by-step explanation:

can anyone pls helppppp

Answers

hourly rate:
39(1.3r) = 541.80
(hours times hourly rate equals profit)

then solve
1.3r = 13.89
r = 10.69

the hourly rate is $10.69


to answer the bottom question, 390 + 117 = 507, but that’s not close to 541.80 so I have no idea what they’re asking there

1 quart to 1 gallon

Answers

4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.

Find the equation of the line parallel to the line y = 4x + 10, that goes
through the point (5, 1)

Answers

Answer:  the slope of y=−4x+10 is: −4.

Step-by-step explanation:

Please help???
-x + y=1
2x+y=-2

Answers

Answer:

(x, y) = (-1, 0)

Step-by-step explanation:

Here:

1. -x + y = 1

2. 2x + y = -2

so just temporarily....

multiply #1 by 2

and

multiply #2 by 2

1. -2x + 2y = 2

2. 4x + 2y = -4            then subtract top from bottom.

   -6x + 0  = 6

          -6x = 6

             x  = -1

Then implement x = -1 into the original state of #2

2. 2(-1) + y = -2

      -2 + y = -2

             y = -2 + 2

             y = 0

(x, y) = (-1, 0)

WooHoo! pls brainliest ;) !

5. If you want to get a black belt in karate, then you must first get a brown belt. If you want to get a brown belt in karate, you must first get a white belt.​

Answers

Answer:

yes??? what’s the question??

Step-by-step explanation:

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