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2 years ago

8

An airplane on autopilot took 9 hours to travel 6399 kilometers. What is the unit rate for kilometers per hour?

1 answer:

sukhopar [10]2 years ago

8 0

Answer:

6399/9=711 The answer to this question is 711.

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What is the midpoint of a line segment with the endpoints (-4, -3) and (7, -5)

Katyanochek1 [597]

Midpoint Formula: ( $\frac{x+x}{2}$ , $\frac{y+y}{2}$ )
Midpoint = ( $\frac {-4+7}{2}$ , $\frac {-3-5}{2}$ )
Midpoint = ( $\frac {3}{2}$ , $\frac {-8}{2}$ )
Midpoint = ( $\frac {3}{2}$ , -4)
So, the midpoint of the endpoints (-4,-3) and (7,-5) is ( $\frac {3}{2}$ , -4).
Have a nice day! ♪

4 0

2 years ago

Read 2 more answers

How can you find the probability of a simple event if the total number of equally likely outcomes is 20?

dimaraw [331]

You can divide the total number of outcomes.

5 0

2 years ago

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that $n = 2161, \pi = \frac{1214}{2161} = 0.5618$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}$

$M = 0.0209$

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0

3 years ago

Selena was comparing the flying speeds of different birds in science class. Which of the three birds flies fastest? Why?

Mashcka [7]

Answer:

Option C. The robin flies fastest because its rate is 15 m/s

Step-by-step explanation:

Let

x -----> the time in seconds

y ----> the distance in meters

The speed is equal to divide the distance by the time

In this problem, the slope or unit rate of the linear equation is the same that the speed

<em>Robin's Flight</em>

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

take two points from the table

(2,30) and (3,45)

substitute in the formula

$m=\frac{45-30}{3-2}$

$m=\frac{15}{1}$

$m=15\frac{m}{sec}$

<em>Cardinal's Flight</em>

$y=10x$

$m=10\frac{m}{sec}$

<em>Blue Jay's Flight</em>

take two points from the graph

(0,0) and (2,20)

substitute in the formula

$m=\frac{20-0}{2-0}$

$m=\frac{20}{2}$

$m=10\frac{m}{sec}$

Compare

The robin flies fastest because its rate is 15 m/s

4 0

3 years ago

Ayudaaaa por favor es urgente

ss7ja [257]

Answer:

use trig

Step-by-step explanation:

sin(15) = 100/x

x = 100/sin(15)

use calculator

8 0

3 years ago