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valentinak56 [21]
3 years ago
8

PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What

is the mean of the data set?
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

<h2>10</h2>

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

Z = \frac{x - \mu}{\sigma}

On substituting the values;

2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10

The mean of the dataset is 10

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3(x + 6) = x - 2

3(-4+6)= -4-2

mutiply the bracket by 3

(3)(-4)= -12

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-12+18= -4-2

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Answer:

No solution

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3 years ago
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
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Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear
Nikolay [14]

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

Learn more about the slope here:

brainly.com/question/3605446

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6 0
2 years ago
What is the midpoint of the x-intercepts of f(x) = (x – 4)(x + 4)? (0,0) (0,4) (–4,0) (2,0)
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Answer:

The midpoint of the x-intercepts of the function is (0, 0)

Step-by-step explanation:

Notice that since the function comes in factor form, we know that its roots (which are actually the intercepts the function has with the x-axis) are: x = 4 and x = -4 (the x-values for which the function renders zero).

These two points are equidistant from the origin of coordinates (0, 0), and therefore the midpoint of these x-intercepts is (0, 0).

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3 years ago
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ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1

Step-by-step explanation:

Given the sequence

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a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

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As the common difference between the adjacent terms is same and equal to

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Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

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substituting a₁ = 9, d = 8 in the equation

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Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

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6 0
3 years ago
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