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3 years ago

Simplify algebraic expression 3/4 (1/2X - 12) + 4/5

1 answer:

8 0

$\frac{3}{4} ( \frac{1}{2} x-12)+ \frac{4}{5} =$

$=\frac{3}{4} ( \frac{x}{2} -12)+ \frac{4}{5}$

$= \frac{3x}{8} -9+ \frac{4}{5}$

$= -\frac{41}{5} + \frac{3x}{8}$

The answer is: $-\frac{41}{5} + \frac{3x}{8}$

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Which number has a 5 that represents a value ten times greater than the value

amm1812

It would be 42,523 because 50x10=500 and 5 in 42,523 is in the hundreds spot

8 0

3 years ago

Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t

SVEN [57.7K]

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - α) % confidence interval for population mean μ is:

$CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error of this confidence interval is:

$MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

Given:

$MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576$

*Use a z-table for the critical value.

Compute the value of n as follows:

$MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207$

Thus, the minimum sample size required is 207.

3 0

2 years ago

4x^2-400=0 square roots and solving quadratics

posledela

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

8 0

3 years ago

Please Help Identify each angle pair. Choose from the list below.

Slav-nsk [51]

Answer:

The answer is given below.

Step-by-step explanation:

Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.

Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.

Corresponding angles: The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.

Same side interior angles: These are the angles between the parallel lines with the transversal.

Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.

Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines

$\angle 1\ and\ \angle 6:\ \textrm{alternate exterior angles}\\\angle 1\ and\ \angle 3:\ \textrm{Vertical opposite angles}\\\angle 3\ and\ \angle 6:\ \textrm{corresponding angles}\\\angle 4\ and\ \angle 8:\ \textrm{same side interior angles}\\\angle 4\ and\ \angle 5:\ \textrm{alternate interior angles}\\\angle 5\ and\ \angle 6:\ \textrm{linear pair angles}$

4 0

2 years ago

Twelve less than a number is -75

yanalaym [24]

-87 because (-87)-12=-75

8 0

2 years ago