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3 years ago

If you flip a coin or roll a 6-sided die, what is the probabilty that you will flip a tails and roll a 2?

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

Answer:

$\frac{1}{12}$

Step-by-step explanation:

P(tail) = $\frac{1}{2}$

P(2) = $\frac{1}{6}$

P(tail and 2 ) = $\frac{1}{2}$ × $\frac{1}{6}$ = $\frac{1}{12}$

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Mekhanik [1.2K]

Answer:

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Step-by-step explanation:

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2 years ago

John ran 1 2/5 miles in 1/3 hour. How many miles can John run in 1 hour

sasho [114]

Answer:

5 miles per hour

Step-by-step explanation:

15/3=5

4 0

3 years ago

the mgf of a random variable x is e^3(e^t-1). Find P[mean - standard deviation squared < X < 1/2( mean + standard deviatio

postnew [5]

The given MGF is that for a random variable following a Poisson distribution with parameter $\lambda=3$ .

This means $\mathbb E(X)=\mathbb V(X)=\lambda$ , and $X$ has PMF

$f_X(x)=\begin{cases}\dfrac{3^xe^{-3}}{x!}&\text{for }x\ge0\\0&\text{otherwise}\end{cases}$

So, the desired probability is

$\mathbb P\left(\lambda-\lambda^2$

This is equivalent to

$\displaystyle\sum_{x=0}^2\mathbb P(X=x)=\sum_{x=0}^2\frac{3^x}{x!e^3}=\frac{17}{2e^3}\approx0.4232$

8 0

3 years ago

Find the inverse of this 3x3 matrix. [1 5 2]

MissTica

Lets say the 3x3 Matrix is

M = [1 5 2 ]
[1 1 7 ]
[0 -3 7 ]

We apply the Gauss-Jordan elimination method (Procedure and result shown in the image below)

5 0

3 years ago

The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per secon

castortr0y [4]

Answer:

Step-by-step explanation:

According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e

F = mg where;

F is the force of gravity

m is the mass of the body

g is the proportionality constant known as the acceleration due to gravity.

If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;

F = m*32.2

F =32.2m

Hence the required equation is F = 32.2m

5 0

3 years ago

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