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2 years ago

Solve for x.

Mathematics

1 answer:

Crank2 years ago

6 0

The solutions to the given absolute value equation are:

x = −74 and x = 80

<h3>How to solve the given equation for x?</h3>

Here we want to solve the absolute value equation:

(1/7)*|x - 3| - 2 = 9

To solve this, we first need to isolate the absolute value part, so we get:

(1/7)*|x - 3| - 2 = 9

(1/7)*|x - 3| = 9 + 2

(1/7)*|x - 3| = 11

|x - 3| = 11*7

|x - 3| = 77

Now we can decompose the absolute value equation into two simpler ones, which are:

x - 3 = 77

x - 3 = -77

Solving those two equations we get:

x = 77 + 3 = 80

x = -77 + 3 = -74

Thus the solutions are:

x = -74 and x = 80, we conclude that the correct option is the last one.

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Suppose that 950 couples each have a baby find the mean and standard deviation for the number of boys in the 950 babies

nydimaria [60]

The mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively

<h3>How to determine the mean and the standard deviation?</h3>

From the complete question, we have:

P(boy)= 0.5

Sample size = 950

The mean is then calculated as:

$\bar x = np$

This gives

$\bar x = 950 * 0.5$

Evaluate

$\bar x = 475$

The standard deviation is calculated as:

$\sigma = \sqrt{np(1 - p)$

This gives

$\sigma = \sqrt{950 * 0.5(1 - 0.5)$

Evaluate

$\sigma = 15.41$

Hence, the mean and standard deviation for the number of boys in the 950 babies are 475 and 15.41, respectively

Read more about mean and standard deviation at:

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4 0

2 years ago

How do you factor m^4-1

Vladimir79 [104]

(m^2-+1)m^2-1)
M^2 times m^2 gives you m^4

6 0

3 years ago

A normal distribution has a mean of 15 and a standard deviation of 2. Find the value that corresponds to the 75th percentile. Ro

Sonbull [250]

Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

$\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348$

Rounding, we get x = 16.35 as our answer

5 0

3 years ago

Help help help help

goblinko [34]

Answer:

$\displaystyle m=\frac{-1}{2}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Reading a Cartesian plane
Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (4, 1)

Point (0, 3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{3-1}{0-4}$
[Fraction] Subtract: $\displaystyle m=\frac{2}{-4}$
[Fraction] Simplify: $\displaystyle m=\frac{-1}{2}$

4 0

3 years ago

How could you use the Associative Property to rewrite the expression -6 + (-14 + 9)?

Nuetrik [128]

Answer:move the parenthesis to the right so it will say (-6-14) +9

Step-by-step explanation:

The associative property says That you can get the same answer b simply moving the parentheses left and right as long as you are given three. Umbers minimum

4 0

4 years ago