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3 years ago

The Shirt shop sold 15 tshirts. Of the

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

Answer:

Step-by-step explanation:

1/5 of 15 is 3. 3 shirts are grey. 15-3 is 12. 12 t shirt are white.

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Assume that a policyholder is four times more likely to file exactly two claims as to file exactly three claims. Assume also tha

kykrilka [37]

Answer:

1.3125

Step-by-step explanation:

Given that our random variable $X$ follows a Poisson distribution $P(X=k)=\frac{\lambda^k e^-^p}{k!} \ \ \ \ \ \ \ \ p=\lambda$

Evaluate the formula at $k=2,3:$

$P(X=2)=0.5\lambda^2e^{-\lambda}\\\\P(X=3)=\frac{1}{6}\lambda^2e^{-\lambda}$

#since

$4P(X=2)=P(X=3);\\\\0.5\lambda^2e^{-\lambda}=4\times\frac{1}{6}\lambda^3e^{-\lambda}\\\\0.5\lambda^2=\frac{2}{3}\lambda^3\\\\0.75=\lambda$

The mean and variance of the Poisson distributed random variable is equal to $\lambda$ :

$\mu=\lambda=0.75\\\sigma ^2=\lambda=0.75$

#By property variance:

$\sigma ^2=V(X)=E(X^2)-(E(X))^2=E(X^2)\\\\E(X^2)=\sigma^2+\mu^2=0.75+0.75^2=1.3125$

The expectation is 1.3125

4 0

3 years ago

Multiply 631.6 by 0.8

pentagon [3]

Answer: multiply 631.6 by 0.8 = 505.28

3 0

2 years ago

How do I resolve this? Como resuelvo esto?

Nikolay [14]

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ -----\\ A=144\pi \end{cases}\implies 144\pi =\pi r^2\implies \cfrac{144\pi }{\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies \boxed{12=r} \\\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad C=2\pi \boxed{12}\implies C=24\pi$

4 0

3 years ago

What is the value of the x variable in the solution to the following system of equations?

iren [92.7K]

The correct answer should be c) 3.

6 0

3 years ago

Can someone please help me ;-; this is due today

IRISSAK [1]

Answer:

The correct answer: F (Scalene) and A (Acute)

Step-by-step explanation:

F. (Scalene): By definition, a scalene triangle is a triangle that has no equal sides, and no equal angles. This definition matches your given triangle, since it has no equal sides and angles.

A. (Acute): By definition, an acute triangle is a triangle in which all the internal angles are less than 90 degrees. This definition matches your given triangle, since all of the internal angles are less than 90 degrees.

The given triangle is not obtuse, equilateral, right, and isoceles.

It is not an obtuse triangle because none of the angles are greater than 90 degrees.

It is not an equilateral triangle because its sides are not equal.

It is not a right triangle because none of its internal angles measure 90 degrees.

And it is not an isoceles triangle because by definition, an isoceles triangle must have two equal sides. Your given triangle has no equal sides.

6 0

2 years ago