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3 years ago

Find the product. (-3ab2)3 -27 a3b6 -9 a3b5 -23 a2b2 27 ab

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

Answer:

a) -27 a³ b⁶

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given ( -3 ab² )³

By using (ab )ⁿ = aⁿ bⁿ

( -3 ab² )³ = (-3)³ a³ (b²)³

Again , using formula $(a^{m} )^{n} = a^{mn}$

= -27 a³ b⁶

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dusya [7]

The value of x equals 30.

Step by Step explanation:

All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!

5 0

3 years ago

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

3) John Wayne died of cancer. In 1955, he was in Utah shooting the film The Conqueror. Across the state line, in Nevada, the U.S

-Dominant- [34]

Answer:

20.9 %, it is more than the national population 13.6%.

Step-by-step explanation:

Total number of persons = 220

died number of persons = 46

The percentage of died persons

$\frac{46}{220}\times 100 \\\\= 20.9 %$

So, it is more than the national population of 13.6 %.

6 0

3 years ago

The length of a rectangle is 6 inches more than the width. The perimeter is 40 inches. Find the length and the width of the rect

eduard

Answer:

lenght = 13 inches

width = 7 inches

Step-by-step explanation:

p= 2(l+b)

let lenght be x

width be y

so x=y+6

40 = 2(y+6 + y)

40= 2( 2y+6 )

20= 2y +6

2y = 20-6

2y=14

y=7

x=7+6=13

so lenght is 13 inches

width is 7 inches

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3 years ago

The NYC DOE Laptop weighs around 48 oz (ounces). Note: 1 pound 16 ounces Find this weight in pounds What would be the weight in

Anastaziya [24]

Answer:

Step-by-step explanation:

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3 years ago