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Nezavi [6.7K]
3 years ago
5

What is 3/2n-8/3=29/12

Mathematics
1 answer:
bixtya [17]3 years ago
5 0

Simplify 3/2n to 3n/2

3n/2 - 8/3 = 29/12

Add 8/3 to both sides

3n/2 = 29/12 + 8/3

Simplify 29/12 + 8/3 to 61/12

3n/2 = 61/12

Multiply both sides by 2

3n = 61/12 × 2

Simplify 61/12 × 2 to 122/12

3n = 61/6

Divide both sides by 3

n = 61/6/3

Simplify 61/6/3 to 61/6 × 3

n = 61/6 × 3

Simplify 6 × 3 to 18

<u>n = 61/18</u>

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Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

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<h3>The slope of line u is 8/5</h3>
8 0
3 years ago
What inequality represents the sentence? The product of a number and 12 is no more than 15.
bulgar [2K]
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7 0
4 years ago
Which of the following are exact numbers?
Mademuasel [1]

Answer:

Explanation with the help of discrete variables and continuous variables.

Step-by-step explanation:

We have to tell that which of the following can be an exact number.

This can be done with the approach of discrete and continuous variables.

Discrete variables are the variables that are countable and cannot be expressed in decimal form. They are point estimated.

Continuous variable are the variable that are estimated with the help of an interval. Their values can be expressed with the help of a decimal expansion. They are not countable.

a) Mass of a paper clip, Surface are of dime, Inches in a mile, Ounces in pound, microseconds in a week

Since all mass, area, weight(ounces), time, length(inches) are continuous variable, they can be estimated with the help of an interval. Thus, they can have exact number but not always.

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4 0
3 years ago
A research report says that t(63) = 1.99; p = .03. From that information, can you reject the null hypothesis with 95% confidence
Leona [35]

Answer:

Yes, I can reject the null hypothesis with 95% confidence.

Step-by-step explanation:

Critical value t(63) = 1.99

p-value = 0.03

Confidence level (C) = 95% = 0.95

Significance level = 1 - C = 1 - 0.95 = 0.05

Conclusion:

Reject the null hypothesis because the p-value 0.03 is less than the significance level 0.05.

4 0
3 years ago
Read 2 more answers
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