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forsale [732]
3 years ago
8

Suppose that you and a friend are playing cards and decide to make a bet. If you draw three face cards, where a face card is a J

ack, a Queen, or a King, in succession from a standard deck of 52 cards without replacement, you win $40. Otherwise, you pay your friend $10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Expected value of the bet =

<h3>P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>

(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) =

(64/132600) * 40 + (1 - 64/132600) *(-10) =

64/3315 + (132536/132600) * (-10) =

64/3315 - (132536/13260) =

64/3315 - 33134/3315 =

-33070/3315 =

-9.97586726998 =

-$9.98, rounded to the nearest cent  

(i.e., the expected value of the bet is a loss of $9.98)

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An AISI 1040 cold-drawn steel tube has an OD 5 50 mm and wall thickness 6 mm. What maximum external pressure can this tube withs
lukranit [14]

Answer:

82.79MPa

Step-by-step explanation:

Minimum yield strength for AISI 1040 cold drawn steel as obtained from literature, Sᵧ = 490 MPa

Given, outer radius, r₀ = 25mm = 0.025m, thickness = 6mm = 0.006m, internal radius, rᵢ = 19mm = 0.019m,

Largest allowable stress = 0.8(-490) = -392 MPa (minus sign because of compressive nature of the stress)

The tangential stress, σₜ = - ((r₀²p₀)/(r₀² - rᵢ²))(1 + (rᵢ²/r²))

But the maximum tangential stress will occur on the internal diameter of the tube, where r = rᵢ

σₜₘₐₓ = -2(r₀²p₀)/(r₀² - rᵢ²)

p₀ = - σₜₘₐₓ(r₀² - rᵢ²)/2(r₀²) = -392(0.025² - 0.019²)/2(0.025²) = 82.79 MPa.

Hope this helps!!

8 0
3 years ago
NEED THESE ANSWERS FAST
vladimir2022 [97]

Answer:

1) m=2/9; y-intercept= 17/3

2) m=7 ; y-intercept= 22

3) m= -2/11 ; y-intercept= 100/11

4) m= 13/19 ; y-intercept= -53/13

Step by Step Explanation:

Use the slope formula to find the slope m.

6 0
3 years ago
A builder needed to buy four hundred fourteen boards for his latest project. If the boards he
allochka39001 [22]

Answer:

21

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need help on this thank you!
Digiron [165]
First off both triangles form a 90° angle there both congruent. you can tell they form a 90° angle because of square box
3 0
3 years ago
I need help asap pls
meriva

Answer:

\displaystyle 36° = m∠NQS

Step-by-step explanation:

Apply the Midsegment Theorem:

\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°

I am joyous to assist you at any time.

8 0
3 years ago
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