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Studentka2010 [4]
2 years ago
10

Is the statement 15=|-15| true

Mathematics
2 answers:
aleksandr82 [10.1K]2 years ago
7 0

Answer:

Yes! |-15| = 15

Step-by-step explanation:

Many people think of absolute value (the two bars symbol around the -15) as ALWAYS POSITIVE.

You can also think of absolute value as a distance. If you move 15 units, it doesn't matter in what direction you go. 15 units travelled is 15 units.

Lastly, absolute value has a V-shaped graph, that is because its always positive.

Paladinen [302]2 years ago
6 0
Yes, the lines on either side of the number -15 mean absolute value. Meaning that whatever number inside of the lines is positive.
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In a study to establish the absolute threshold of hearing, 80 male college freshmen were each seated in a soundproof room and a
Norma-Jean [14]

Answer:

Step-by-step explanation:

Hello!

To study the threshold of hering the researcher took a random sample of 80 male college freshmen.

The students underwent an audiometry test where a tome was played and they had to press a button when they detected it.  The researcher recorded the lowest stimulus level at which the tone was detected obtaining a sample mean of X[bar]= 22.2 dB and a standard deviation of S= 2.1 dB

To estimate the population mean, since we don't have information about the variable distribution but the sample size is greater than 30, you can use the approximation of the standard normal distribution:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

Where the semiamplitude or margin of error of the interval is:

d= Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

Using a 95% level Z_{0.975}= 1.965

d= 1.965 * \frac{2.1}{\sqrt{80} }

d= 0.46

The point estimate of the population mean of the threshold of hearing for male college freshmen is X[bar]= 22.2 db

And the estimation using a 95%CI is [21.74;22.66]

I hope this helps!

8 0
3 years ago
Which one of the following reasons does NOT explain why 4x+5y≠9xy?
viva [34]
<h3>The terms 4x and 5y has different variable present in it. 4x + 5y \neq 9xy</h3>

<em><u>Solution:</u></em>

Given that,

4x + 5y \neq 9xy

<em><u>The reason is:</u></em>

When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable

Which means,

4x + 10x = 14x

But,

We cannot add terms that has different variable

Which means,

4x + 5y

Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together

4x+5y\neq 9xy

6 0
3 years ago
1. How could you figure out the coordinates of a reflection over the x-axis? What would the coordinates of that reflected point
zzz [600]

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>

The reflection of a point over the x axis is given by the equation (x, y) ⇒ (x, -y).

If the point (-8,2) is reflected over the y-axis, the new point would be (8, 2)

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0
2 years ago
Find the gradient of the line Joining the points p(-2,6) and Q(3,-2)​
Rudiy27

Answer:

-  \frac{8}{5}

Step-by-step explanation:

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

(x₁, y₁) is the 1st coordinate while (x₂, y₂) is the 2nd coordinate.

Gradient of the line

=  \frac{6 - ( - 2)}{ - 2 - 3}

=  \frac{6 + 2}{ - 5}

=   - \frac{8}{5}

7 0
3 years ago
I really need help to graduate!
lisov135 [29]

Answer:

option 1 is correct:

y = -5cos(2x - π)

5 0
3 years ago
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