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3 years ago

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Mathematics

2 answers:

Naily [24]3 years ago

6 0

Answer:

The data value must be less than the mean.

Step-by-step explanation:

mel-nik [20]3 years ago

4 0

Correct Answer:
The data value must be less than the mean.

The formula for the z value is:

z-value = (Data value - Mean) / Standard Deviation

The z-value will be negative when the Numerator of the above expression will be negative. The numerator will be negative only when the Data Value is less than the mean value. For example, for a data value of 5 and mean value 8, the numerator will be -3, and when it will be divided by standard deviation, the resulting z value will be negative.

So, Third option is the correct answer.

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Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.

ryzh [129]

Answer: 1 3/4 is your mixed fraction and 7/4 is the improper fraction.

Step-by-step explanation:

6 0

2 years ago

Ten less than a number is three more than six times the number.

Dahasolnce [82]

Write it as an equation:

X - 10 = 6x + 3

Now solve for x:

Subtract 3 from both sides:

x-13 = 6x

Subtract 1 x from both sides:

-13 = 5x

Divide both sides by 5:

x = -13/5

6 0

3 years ago

Read 2 more answers

What is the Y-Intercept?

antoniya [11.8K]

Answer: The y-intercept is 1

Step-by-step explanation:

On a graph, the y-intercept is the point where the line intersects the y-axis. The corresponding x-coordinate is always 0. ... When a linear equation is written in slope-intercept form (y=mx+b), the slope is represented by the variable m. It is the coefficient to x in the equation.

7 0

2 years ago

Can someone please help me factor this

Dmitry_Shevchenko [17]

Answer:

$\huge\boxed{\bf\:1}$

Step-by-step explanation:

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$

Take $\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 }$ & factorise it at first.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \\= \frac{\left(x-3\right)\left(x-1\right)}{\left(x-4\right)\left(x-3\right)}\\= \frac{x-1}{x-4}$

Now factorise the next set : $\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }$ .

$\frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{\left(x-4\right)\left(x+6\right)}{\left(x-1\right)\left(x+6\right)}\\= \frac{x-4}{x-1}$

Now, multiply the two simplified results.

$\frac{ x ^ { 2 } -4x+3 }{ x ^ { 2 } -7x+12 } \times \frac{ x ^ { 2 } +2x-24 }{ x ^ { 2 } +5x-6 } ^ { }\\= \frac{x-1}{x-4}\times \frac{x-4}{x-1} \\= \frac{\left(x-1\right)\left(x-4\right)}{\left(x-4\right)\left(x-1\right)} \\= \boxed{\bf\: 1}$