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2 years ago

A fair coin was flipped 50 times. It landed on heads 29 times.

Mathematics

1 answer:

faust18 [17]2 years ago

7 0

Answer:

21/50, 42%

Step-by-step explanation:

The total times the coin was flipped is 50 and the number of times it landed on tails is 50-29=21. So we need to divide 21 by 50, which gives us 42%.

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Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperatu

Crank

Answer:

180psi

Step-by-step explanation:

Step one:

given data

P1= 900 psi

T1= 350°C

P2=?

T2=70°C

Required

The final pressure P2

<em>Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up</em>

Applying the expression

P1/T1= P2/T2

substitute:

900/350= P2/70

2.57=P2/70

cross multiply

P2= 2.57*70

P2=180psi

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2 years ago

Use the triangle at the right. find the length of the missing side

mario62 [17]

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2 years ago

The sum of two and four and six times eight?

MissTica

Answer:

2+4 6(8)

Step-by-step explanation:

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

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2 years ago