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3 years ago

Solve the absolute value equation. [×3]-2=9

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

Answer:

$| {x}^{3} | - 2 = 9 \\ | {x}^{3} | = 11 \\ x = 2.2$

charle [14.2K]3 years ago

4 0

Answer:

Although the constant on the right side is negative does not mean there is no solution. Because the negative nine is outside the absolute value, the solution can exist.

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

$\text{Range} = 234-119 = 115\$$

Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1356}{8} = 169.5$

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 + 2352.25 + 1406.25 + 552.25 + 812.25 = 13406

$\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$$

Variance =

$\sigma^2 = 1915.142\$$

Measure of variance for someone searching for room:

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

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3 years ago

TriangleABC is transformed to form triangleA'B'C' .

ExtremeBDS [4]

A=(2,4); B=(3,9); C=(4,1)
A'=(4,-2); B'=(9,-3); C'=(1,-4)

All the points P=(x,y) change to P'=(y,-x), this corresponds to a rotation counterclockwise about the origin, then:

Answer: Triangle ABC is
First box: rotated counterclockwise
Second box: 90° about the origin
to form triangle A'B'C'

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Natali5045456 [20]

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3 years ago

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Corey needs 24 boards that are 47 1/2 inches long. B. If you can only buy 8-foot boards, how many should he buy? Explain.

dimulka [17.4K]

A. 95 feet

<span>B. 12, because that would get you 96 feet of board, and if you only got 11, then you would only have 88 feet of boards which is not enough.

Hope this helped!</span>

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3 years ago

If an ambulance has an average speed of 0.83 miles per minute and an average response time of 8 minutes, what is the average dis

Mrac [35]

Answer: The average distance the ambulance travels to reach an emergency situation is 6.64 miles.

Step-by-step explanation:

Hi, to answer this question we have to apply the speed formula:

Speed rate = distance / time

Replacing with the values given:

0.83 miles per minute = d / 8 minutes

Solving for d (distance)

0.83 mpm x 8 m =d

d =6.64 miles

The average distance the ambulance travels to reach an emergency situation is 6.64 miles.

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

Solve the absolute value equation. [×3]-2=9​

Solve the absolute value equation. [×3]-2=9