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2 years ago

2x-1/4 + x/3 = 2 Solve the equation

Mathematics

1 answer:

Marta_Voda [28]2 years ago

7 0

Answer:

below

Step-by-step explanation:

steps are shown above

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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

What is the answer? Brainliest and 13 pointsssssss

vodomira [7]

Answer:

Step-by-step explanation:

2x^2 +3y

Let x =3 and y=5

2 *(3)^2 +3(5)

We do exponents first

2 * 9 + 3(5)

Then multiply

18+ 15

Add

5 0

2 years ago

Which of the following equation have exactly one solution?

Archy [21]

Answer:

A, B, C all have one solution.

Step-by-step explanation:

1) Each equation in this question has one variable (x). This means that only one solution will be there.

2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78

Which is not true

3) Option A, if solved x = -65/68

4) Option B, x = 13/2

5) Option C, x = 5

All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.

8 0

3 years ago

Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)

Setler79 [48]

Answer:

$\boxed {\boxed {\sf (1.5 , 2.5)}}$

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

$(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})$

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

x₁= 5
y₁= 4
x₂= -2
y₂= 1

Substitute these values into the formula.

$( \frac {5+ -2}{2}, \frac {4+1}{2})$

Solve the numerators.

5+ -2 = 5-2 = 3
4+1 = 5

$( \frac {3}{2}, \frac{5}{2})$

Convert the fractions to decimals.

$(1.5, 2.5)$

The midpoint of the line segment is (1.5 , 2.5)

3 0

2 years ago

A printer makes more than 3 copies of a book every hour. How many books can the printer make in 4 hours?

sineoko [7]

Answer:

Step-by-step explanation:

4 x 3 is 12

7 0

2 years ago

Read 2 more answers