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MA_775_DIABLO [31]
3 years ago
10

Why can it help to line up the decimal points before comparing and ordering numbers with decimals

Mathematics
2 answers:
aliina [53]3 years ago
5 0
So you don't loose your place
Reptile [31]3 years ago
3 0

Answer:

so you can't lose your place

Step-by-step explanation:

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A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6
mylen [45]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n=106

Sample mean : \overline{x}=98.3^{\circ}\ F

Standard deviation : \sigma= 0.69^{\circ}F

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Then , 99​% confidence interval estimate of the mean body temperature of all healthy humans will be :-

98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. \mu=\overline{x}=98.3^{\circ}\ F

7 0
3 years ago
Which equation shows a valid step in solving /2x-6+2x+6=0?
AfilCa [17]

An equation which shows a valid step that can be used to solve the given mathematical equation is (\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3

<h3>What is an equation?</h3>

An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.

In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.

Take the cube of both sides, we have:

\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3

Read more on equations here: brainly.com/question/13170908

#SPJ1

5 0
2 years ago
How do I find the equation of the axis of symmetry and the coordinates of the vertex?
Firlakuza [10]
<span>For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a . Example 1: Find the axis of symmetry of the parabola shown. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.</span>
5 0
3 years ago
1. The ordered pair (-1, -1) is a solution of the system -4x + 2y = 2 and x + y = -2.
Nastasia [14]
1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.
5 0
3 years ago
Which of the following best describes the graphs below?​
Ede4ka [16]

Answer:

The 3rd statement best describes the graphs.

Step-by-step explanation:

The 3rd statement best describes the graphs because they must be similar. The two triangles cannot be congruent because Triangle A must be dilated to become Triangle B.

Multiplying by a scale factor of 1/2 would cause the shape to shrink, but multiplying by a scale factor of 2 would cause the shape to grow.

4 0
3 years ago
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