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3 years ago

How can you use rates to determine wheather a situation is a proportional relationship

1 answer:

7 0

<em>If the rate is a constant, the relationship is proportional.</em> (The rate is the constant of porportionality.)

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For two or more points on the function curve, divide the dependent variable value by the independent one. If you get the same result in every case, the relationship is porportional.

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For some non-proportional relationships, it is possible to find points on the graph that will pass the above test. If you suspect the relationship is actually not one of proportionality, try more points. Check also to make sure that (0, 0) is on the curve.

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two sides of a polygon are parallel line segments. what is the least number of sides the polygon could have?

Darya [45]

4 is the least the amount of sides the polygon can have

8 0

3 years ago

Read 2 more answers

Find the measure of angle K.

atroni [7]

Answer:

m∠K = 97°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360

127 + 5x + 3 + 10x + 7 + 88 = 360

15x + 225 = 360

15x = 135

x = 9

m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°

8 0

3 years ago

HELP PLEASE

nordsb [41]

Answer:

<h3>perpendicular line: y = -¹/₆ x + 4¹/₃ </h3><h3> parallel line: y = 6x - 45 </h3>

Step-by-step explanation:

y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7 ⇒ m₁=6

6×m₂ = -1 ⇒ m₂ = -¹/₆

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in slope-intercept form:

y = -¹/₆ x + 4¹/₃

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in slope-intercept form:

y = 6x - 45

7 0

3 years ago

A researcher selects two samples of equal size and computes a mean difference of 1.0 between the two sample means. If the pooled

s344n2d4d5 [400]

Answer:

The Cohen's D is given by this formula:

$D = \frac{\bar X_A -\bar X_B}{s_p}$

Where $s_p$ represent the deviation pooled and we know from the problem that:

$s^2_p = 4$ represent the pooled variance

So then the pooled deviation would be:

$s_p = \sqrt{4}= 2$

And the difference of the two samples is $\bar X_a -\bar X_b = 1$ , and replacing we got:

$D = \frac{1}{2}= 0.5$

And since the value for D obtained is 0.5 we can consider this as a medium effect.

Step-by-step explanation:

Previous concepts

Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.

Solution to the problem

The Cohen's D is given by this formula:

$D = \frac{\bar X_A -\bar X_B}{s_p}$

Where $s_p$ represent the deviation pooled and we know from the problem that:

$s^2_p = 4$ represent the pooled variance

So then the pooled deviation would be:

$s_p = \sqrt{4}= 2$

And the difference of the two samples is $\bar X_a -\bar X_b = 1$ , and replacing we got:

$D = \frac{1}{2}= 0.5$

And since the value for D obtained is 0.5 we can consider this as a medium effect.

7 0

3 years ago

Find the length of the highlighted arc. Round your answer to the nearest tenth. *

Firlakuza [10]

Answer:

Approximately 23.6

Step-by-step explanation:

So first find the fraction of the whole circumference the arc is.

270 ÷ 360 = 0.75

The circumference is 10π

0.75 * 10π = 7.5π

7.5π = 23.5619449019 ≈ 23.6

6 0

3 years ago