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3 years ago

Combine the like terms to create an equivalent expression: r + (−5r)

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

-4r

Step-by-step explanation:

r+(-5r)=r-5r=-4r

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Which expression is equivalent to C^2-4/c+3 divided by c+2/3(c^2-9)

faltersainse [42]

$\frac{ {c}^{2} - 4 }{c + 3} \times \frac{3( {c}^{2} - 9 )}{c + 2}$

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3 years ago

(5^2)^3 x(3^0 x 5^-3)

Artist 52 [7]

easy

10^3x(0)

30 x 0

= 0

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4 years ago

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The number of knots in a particular type of wood has a Poisson distribution with an average of 1.6 knots in 10 cubic feet of the

HACTEHA [7]

Answer:

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

1.6 knots in 10 cubic feet of the wood.

This means that $\mu = 1.6$

Find the probability that a 10-cubic-foot block of the wood has at most 5 knots.

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-1.6}*(1.6)^{0}}{(0)!} = 0.202$

$P(X = 1) = \frac{e^{-1.6}*(1.6)^{1}}{(1)!} = 0.323$

$P(X = 2) = \frac{e^{-1.6}*(1.6)^{2}}{(2)!} = 0.258$

$P(X = 3) = \frac{e^{-1.6}*(1.6)^{3}}{(3)!} = 0.138$

$P(X = 4) = \frac{e^{-1.6}*(1.6)^{4}}{(4)!} = 0.055$

$P(X = 5) = \frac{e^{-1.6}*(1.6)^{5}}{(5)!} = 0.018$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.202 + 0.323 + 0.258 + 0.138 + 0.055 + 0.018 = 0.994$

0.994 = 99.4% probability that a 10-cubic-foot block of the wood has at most 5 knots.

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3 years ago

Florist ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. which shows the correct

hoa [83]

Answer:

.9167 miles per lap

Step-by-step explanation:

3.6 miles total-1.2 miles walked= 4.4 miles in laps

4.4 miles=4.8 laps

we are solving for miles per lap, so we divide 4.4m/4.8l

6 0

3 years ago

Christy bought n 8 foot piece of lumber to trim a book shelf. Altogether she needs 100 inches of lumber for the trim. Did Christ

juin [17]

No she did not because 8 feet converted to inches is 96in. So, she is 4 inches short of 100! :-)

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3 years ago

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