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Rzqust [24]
3 years ago
6

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents

the area of the rectangle?
Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer: 6x^2 -8x +2

Step-by-step explanation:

The area of a rectangle is just length multiplied by width so would have:

Area = length x width = (6x-2)(x-1) = 6x^2 -8x +2.

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blsea [12.9K]
The square root of 64 is 8 since 8*8 or 8^2 equals 64
6 0
3 years ago
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What is the value of 7x2−6x when x = 4
Yanka [14]
You replace x with 4 7•4•2-6•4= 32
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What is the greatest integer $x$ for which $\frac79 > \frac{x}{13}$?
tensa zangetsu [6.8K]

Answer:

3

Step-by-step explanation:

Some function [] rounds DOWN a number to the nearest integer. For example [1.5]=1, [2]=2, [-1.5]=-2, ...

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8 0
2 years ago
The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\lambda x}

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

In all 3 cases, we want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = 1 - e^{-5\lambda}

(a) lambda=.5

P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821

(b) lambda=0.9

P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111

(c) lambda=1.1

P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041

7 0
3 years ago
Describe how you regroup whenyou find 64+43
Mariana [72]
You regroup because the 4 in 64 plus the 3 in 43 equals 7, then you move onto the tens place, and 60 plus 40 equals 100, so that is how. Your answer is 107.
8 0
3 years ago
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