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2 years ago

6

Select the correct answer. Which statement is true about this quadratic equation? y=2x^2 + 9x-12 a There is one complex solution

b there are two complex solutions c There is one real solution d There are two real solutions

1 answer:

Yakvenalex [24]2 years ago

5 0

Answer:

There are 2 complex solutions

Step-by-step explanation:

Both imaginary Solutions

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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

Show that: (p¼- q¼)(p¼ + q¼)(√P+√q)= p-q.

Irina18 [472]

Answer:

Step-by-step explanation:

let p¼ = a, q¼ = b

L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.

3 0

1 year ago

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Replacing only the minimum value in a data to a smaller number will change the median

irakobra [83]

This is false my dude.

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2 years ago

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the main rotor of a helicopter rotates 430 times per minute. find the number of degrees through which a point on the main rotor

n200080 [17]

Answer:

2580 degrees rotated per second

Step-by-step explanation:

since you have to find the degrees it rotates per second.

you need to divide 430 by 60 to find rotations per second

1) 430/60

= 7.16666667 rotations per second

-then you have to multiply it by 360 degrees ,because their is 360 degrees in a circle

2) 7.16666667 (360)

= 2580 degrees rotated per second

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2 years ago

What is the product?

Marina86 [1]

Answer:

$\frac{2}{k+2}$

Step-by-step explanation:

Simplify the expression and you will get this.

hope this helps

3 0

2 years ago