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3 years ago

What is p(4,4) on two consecutive rolls of a number cube

1 answer:

6 0

The probability of rolling 1 number, a four, on a 6-sided number cube, is 1/6.
On the second roll, the probability of rolling 1 number, a four, is again 1/6 (remember theoretical probability for one event does not consider previous rolls).
But the probability of rolling a four on 2 on consecutive rolls will be the probability of the first event times the probability of the second event. Think of it as rolling a four on the first time <em>and</em> the second time, and whenever there is "and" you need to multiply the probabilities. The probability of rolling a four on two consecutive rolls is
(1/6)*(1/6) = 1/36.

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A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?

DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals $2.20\times 10^{8}\,Pa$ . The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress ( $\sigma$ ), measured in pascals, in the wire with circular cross-section is:

$\sigma = \frac{4\cdot F}{\pi\cdot D^{2}}$ (1)

Where:

$F$ - Axial force, measured in newtons.

$D$ - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that $F = 800\,N$ and $D = 0.002\,m$ , then the axial stress experimented by the titanium wire is:

$\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}$

$\sigma \approx 2.546\times 10^{8}\,Pa$

Since stress is greater than ultimate strength, the wire will break.

3 0

3 years ago

Three times the difference of eight and twice a number is five times the number.

Softa [21]

Answer:

Step-by-step explanation:

3(2n-8)=5n distribute 3

6n-24=5n combine like terms

-24=-n divide by -1 on both sides

24=n

n=24

7 0

3 years ago

Your assigned 32 math exercises for homework you complete 87.5of these before dinner how many do you hav to do after dinner.

krek1111 [17]

87.5% of 32 questions = 28 questions.

32 - 28 = 4

so there are 4 questions to be done after dinner.

5 0

3 years ago

Use the formula SA=6s2 , where SA is the surface area and s is the edge length of the cube, to solve this problem.

Irina-Kira [14]

Using the SA formula you'll have to substitute in the edge length for s.

SA = 6(312)²
SA = 584064

The surface area is 584,064 feet²

Hope this helps :)

3 0

3 years ago

Read 2 more answers

Solve the formula A=1/2h(a+b)

lapo4ka [179]

Answer:

Step-by-step explanation:

3 0

2 years ago