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3 years ago

What is the answer to 54x^2-144x

Mathematics

2 answers:

Maurinko [17]3 years ago

8 0

Step-by-step explanation:

54x^2-144x

18x(3x-8) is your answer

sergij07 [2.7K]3 years ago

4 0

The answer is 18x (3x-8)

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Simplify 4 + (-3) - 2 times (-6)

iVinArrow [24]

Step-by-step explanation:

$= 4 + ( - 3) - 2 ( - 6)$

here ( + ) × ( - ) = ( - )

$= 4 - 3 + 12$

$= 4 + 12 - 3$

$= 16 - 3$

$= 13$

8 0

1 year ago

Read 2 more answers

A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili

Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 (inclusive) mistakes is 0.53.

Let X be the number of mistake

$P(X$

$P(6\leq X\leq 20)=0.53$

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. $P(X>20)$

$P(X>20)=1-P(X\leq 20)$

$P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))$

$P(X>20)=1-(0.26+0.53)$

$P(X>20)=1-(0.79)$

$P(X>20)=0.21$

b. A student makes 6 or more mistakes

i.e. $P(X\geq 6)=1-P(X$

$P(X\geq 6)=1-0.26$

$P(X\geq 6)=0.74$

c. A student makes at most 20 mistakes

i.e. $P(X\leq 20)=1-P(X>20)$

Using 'a' part $P(X>20)=0.21$

$P(X\leq 20)=1-0.21$

$P(X\leq 20)=0.79$

d. Which two of these three events are complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0

2 years ago

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Ng ne Volume of a Cone

AnnyKZ [126]

Answer: height = 6, radius = 8, Volume = 401.92

Explanation:
Height = 6 given

Find radius:

Use Pythagorean’s theorem to find the side of the right triangle:

a^2 + b^2 = c^2
b^2 = c^2 - a^2
b^2 = 10^2 - 6^2
b^2 = 100-36
b^2 = 64
b = 8

And since length b is also the radius of the circle then radius = 8

Find volume:

V = pi x r^2 x h/3

V = 3.14 x 8^2 x 6/3

V = 3.14 x 64 x 2

V = 401.92

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2 years ago

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The

Nikolay [14]

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of $77^{\circ}$ the ground.