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4 years ago

Identify the area of ⊙K in terms of π. SHOW YOUR WORK, PLEASE!!

Mathematics

1 answer:

Maru [420]4 years ago

5 0

The formula for area of a circle is π x r^2

r = radius = 7 cm.

Area = 7^2 x π

Area = 49π cm²

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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

There are 7 males and 5 females and we need to select 4 different people. how many ways can we select 4 people?

saul85 [17]

$\displaystyle \binom{12}{4}=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495$

5 0

3 years ago

Subtract the expression :<br> - 5x + 3x - 24<br> Plzz ....answer....plzzz

Afina-wow [57]

Answer:

-2x-24

Step-by-step explanation:

-5x+3x-24 = - 2x-24

4 0

3 years ago

Read 2 more answers

3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10 Find the mean of the data.

slava [35]

Answer:

7.55

Step-by-step explanation:

An arithmetic mean is the average value of all the data points.

In order to find the average value, you add all the data points then divide the resulting sum by the number of data points there are.

The sum of all data points:

3 + 9 + 10 + 5 + 8 + 5 + 9 + 11 + 10 + 3 + 10 =

The number of data points:

3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10

1,2,3,4,5,6,7,8,9,10, 11 = 11 data points

Average value/ Mean:

83 / 11 = 7.545454545454 = rounded to 7.55

7 0

3 years ago

A graph cannot be shift vertically and horizontally true or false

hodyreva [135]

NO, any graph can be shifted horizontally and/or vertically

6 0

3 years ago