$x + \frac{5}{3}x + 4 + x + \frac{4}{x} + 3 \\ x + \frac{5x}{3}+ 4 + x + \frac{4}{x}+ 3 \\ (x + \frac{5x}{3} + x) + (4 + 3) + \frac{4}{x} \\ x = \frac{11x}{3} + 7 + \frac{4}{x}$

3 0

3 years ago

An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

$\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85$

Therefore, the height of the airplane above the tower is 1,819.85 feet.

8 0

3 years ago

Read 2 more answers

Line b passes through points (9, 1) and (1, 6). Line c passes through points (10, 7) and (2, 12). Are line b and line c parallel

andre [41]

<h2>Answer: Lines b & c are parallel.⇄</h2>

Step-by-step explanation:

When lines are perpendicular, the product of their slope is -1 (the slopes are negative reciprocal).
When lines are parallel, they have the same slope.

Slope = ( y₂ - y₁) / (x₂ - x₁)

Slope of Line b = ( 6 - 1 ) ÷ ( 1 - 9 )

= 5 ÷ (- 8)

= - ⁵/₈

Slope of Line c = ( 12 - 7 ) ÷ ( 2 - 10 )

= - ⁵/₈

⇒ Line b ║ Line c

8 0

2 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