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3 years ago

- 9(x + 2) > 9(x – 3)

Mathematics

1 answer:

mezya [45]3 years ago

5 0

Answer:

x < 1/2

Step-by-step explanation:

Distribute: -9x - 18 > 9x - 27

Collect like terms: -18x > -9

Divide both sides by -18: x < 1/2.

The sign changes because both sides were divided by a negative number.

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Which of the following fractions is equivalent to 5/6

expeople1 [14]

10/12, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60, and so on ...<span>
Source: </span><span>Equivalent fractions for 5/6</span>

4 0

2 years ago

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What is the place value of the 1 in 620.81

mixas84 [53]

Answer:

hundredths place

Step-by-step explanation:

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3 years ago

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A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

bearhunter [10]

Answer: A. (636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{0.05}=1.96$

Sample mean : $\overline{x}=645\text{ hours}$

Standard deviation : $\sigma= 31\text{ hours}$

The 95% confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)$

Hence, 95% confidence interval for population mean is (636.9, 653.1).

8 0

3 years ago

PLEASE HELP! urgent! Write the equation of a line in a slope-intercept form and standard form

m_a_m_a [10]

Answer:

$y = \frac{3}{4}x -3$ --- Slope intercept

$4y - 3x =- 12$ --- Standard form

Step-by-step explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line

$(x_1,y_1) = (0,-3)$

$(x_2,y_2) = (4,0)$

Next, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{0 --3}{4 - 0}$

$m = \frac{3}{4}$

The slope intercept is then calculated using:

$y = m(x - x_1) + y_1$

So, we have:

$y = \frac{3}{4}(x - 0) -3$

$y = \frac{3}{4}(x) -3$

$y = \frac{3}{4}x -3$

Multiply through bu 4

$4y = 3x - 12$

Subtract 3x from both sides

$4y - 3x =- 12$ --- Standard form

7 0

3 years ago

Reduce to simplest form

Alina [70]

Answer:

-1 5/28

Step-by-step explanation:

-3/7 + (-3/4)

Get a common denominator of 28

-3/7 *4/4 = -12/28

-3/4 *7/7 = -21/28

-12/28 + -21/28

-33/28

-28/28 - 5/28

-1 5/28

5 0

2 years ago