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Gnoma [55]
3 years ago
15

On three rolls of a single die, you will lose $11 if a 2 turns up at least once, and you will win $6 otherwise. What is the expe

cted value of the game?
Mathematics
1 answer:
julsineya [31]3 years ago
4 0
If on three rolls of a single die, you will lose $11 if a 2 turns up at least once, and you will win $6 otherwise, then the expected value of the game is $10. The correct answer to the following given statement above is 10 dollars.
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On average, water flows over a particular water fall at a rate of 2.08 x 105 cubic feet per second. One cubic foot of water weig
34kurt

Answer:

  5.61×10^8 ton/day

Step-by-step explanation:

  (2.08×10^5 ft³/s)·(8.64×10^4 s/day)·(6.24×10^1 lb/ft³)/(2×10^3 lb/ton)

  = (2.08·8.64·6.24/2)×10^(5+4+1-3) ton/day

  ≈ 56.07×10^7 ton/day

  ≈ 5.61×10^8 ton/day

_____

We have expressed the answer using 3 significant digits, to match the precision of the rate and weight.

4 0
3 years ago
For the following pair of functions, find (f+g)(x) and (f-g)(x).
ch4aika [34]

Given:

The functions are

f(x)=4x^2+7x-5

g(x)=-9x^2+4x-13

To find:

The functions (f+g)(x) and (f-g)(x).

Solution:

We know that,

(f+g)(x)=f(x)+g(x)

(f+g)(x)=4x^2+7x-5-9x^2+4x-13

(f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)

(f+g)(x)=-5x^2+11x-18

And,

(f-g)(x)=f(x)-g(x)

(f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)

(f+g)(x)=4x^2+7x-5+9x^2-4x+13

(f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)

(f-g)(x)=13x^2+3x+8

Therefore, the required functions are (f+g)(x)=-5x^2+11x-18

and (f-g)(x)=13x^2+3x+8.

7 0
3 years ago
Question 11
dem82 [27]

Answer:

There were 49 questions on this Geometry test.

Step-by-step explanation:

You can start by setting up a proportion:

x = total number of questions on Geometry test

\frac{37}{x} = \frac{75.51}{100}

Now, to solve for x, cross multiply:

75.51x = 3700

Finally, isolate x and solve:

x = 49.0001324328

This is very close to 49.

3 0
3 years ago
Evaluate the polynomial when x = 3 and y = - 8<br>x2 + y2 + xy<br>​
Ivahew [28]
<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

49

5 0
3 years ago
Read 2 more answers
What is the value of 2(x+y)² when X=3 and Y=4 ?
Nadya [2.5K]

Answer:

98

Step-by-step explanation:

2 (x + y) ²

= 2 (3 + 4 ) ²

= 2 x 7²

= 2 x 49

=  98

3 0
3 years ago
Read 2 more answers
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