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Shalnov [3]
2 years ago
7

Which polynomial is equivalent to 8x3+12x/2x when x≠0?

Mathematics
1 answer:
ANTONII [103]2 years ago
6 0

Answer: look at the picture

Step-by-step explanation: Hope this help :D

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Write an equation for the nth term of the arithmetic sequence 8, 3, -2, -7,... Find the 9th term of the sequence.
enot [183]

Step-by-step explanation:

1) the difference betwee the terms given is 3-8=-2-3= -5, then

2) for n-th term: aₙ=8-5(n-1);

3) for the 9-th term: a₉=8-5*8=-32.

8 0
1 year ago
Write a definition and give an example of the Commutative Property of Addition using decimal numbers.
konstantin123 [22]
Numbers that can easily be added to each other
Ex. 1.00 + 1.00 Is obviously 2.00 meaning its not hard to solve
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3 years ago
Please help asap tell me if you cant open the document
bogdanovich [222]

Answer:

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Step-by-step explanation:

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2 years ago
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The perimeter of a rectangle is 36 units. the width, w, of the rectangle is 8 units.which equation correctly relates the given i
pychu [463]

The length of the given rectangle is 10 units.

Here, we are given that the perimeter of a rectangle is 36 units.

A rectangle is a figure with 4 sides and opposite sides equal. The perimeter of a rectangle is calculated using the given formula-

Perimeter = 2 ( length + breadth )

Here, the breadth (width) is given to be 8 units.

Let the length be x units.

Then, we can form the following equation-

Perimeter = 2( x + 8 )

36 = 2x + 16

36 - 16 = 2x

20 = 2x

2x = 20

x = 20/2

x = 10

Thus, the length of the given rectangle is 10 units.

Learn more about perimeter here-

brainly.com/question/19819849

#SPJ4

6 0
1 year ago
Production of a gas flow meter takes place in two distinct operations. Measurements (n = 15) of the time required for the first
Karolina [17]

Answer:

a) P(a > 80) = 0.323

b) The 95% confidence interval = (73.40, 80.60)

c) The 95% confidence interval expresses that the mean of the distribution can always be found in the given range, with a 95% confidence level.

Step-by-step explanation:

X ~ (45, 4)

Y ~ (32, 2.5)

(X+Y) ~ (77, 6.5)

Let a = (X+Y)

a) Probability that the time required to complete both of those steps will exceed 80 min = P(a > 80)

This is a normal distribution problem

We then standardize 80 min time

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (a - μ)/σ = (80 - 77)/6.5 = 0.46

To determine the probability the time required to complete both of those steps will exceed 80 min = P(a > 80) = P(z > 0.46)

We'll use data from the normal probability table for these probabilities

P(a > 80) = P(z > 0.46) = 1 - P(z ≤ 0.46) = 1 - 0.677 = 0.323

b) 95% confidence interval for the expected total time required to produce one flow meter.

We need to obtain the margin of error

Margin of error = (critical value) × (standard error of the sample)

Critical value for a 95% confidence interval = critical value for a significance level of 5% = t(15-1, 0.05/2) = 2.145 (using the t-score since information on the population mean and standard deviation isn't known)

Standard error for the sample of sum of times = (standard deviation of the sum of times)/√n = (6.5/√15) = 1.678

Margin of error = 2.145 × 1.678 = 3.60

Limits of the confidence interval = (Sample mean ± margin of error)

Lower limit of the confidence interval = (Sample mean - margin of error) = 77 - 3.60 = 73.40

Upper limit of the confidence interval = 77 + 3.60 = 80.60

The confidence interval = (73.40, 80.60)

4 0
3 years ago
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