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3 years ago

Simplify (-3a^3b)•(3a^4b^3)

Mathematics

2 answers:

Natasha2012 [34]3 years ago

8 0

Answer:

-9a^7b^4

Step-by-step explanation:

morpeh [17]3 years ago

6 0

Answer:

The answer is $-9a^{7}b^{4}$ .

Step-by-step explanation:

To simplify this problem, start by multiplying $a^3$ by $a^4$ by adding the exponents, which will look like $(-3a^7b)*(3b^3)$ . Next, multiply $b$ by $b^3$ by adding the exponents, which will look like $(-3a^7b^4)*(3)$ . Then, multiply 3 by -3, which will look like $-9a^7b^4$ . The final answer is $-9a^7b^4$ .

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Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

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2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

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3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

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3 years ago