Answer:
80 seconds
Step-by-step explanation:
Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.

Evaluate the exponents

Evaluate the sum

Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.

Evaluate the quotient

Take the arc tan of both sides

Evaluate

Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
brainly.com/question/4931057
#SPJ1
The mean is when you add up all the numbers and divide by the amount of numbers there are.
143+312+41+28+308+619+321+352+465=2589
2589/9=287.666666667
round to the whole number you get
288
A) By the rules of secants,
5(x +5) = 6(6 +4)
x + 5 = 12
x = 7
b) 3(3 +5) = 4(x +4)
6 = x +4
2 = x
Answer:
0.78
Step-by-step explanation:
We have the next probability distribution:
X P(X)
0 0.2
1 0.3
2 0.5
As we can see when we add all the probabilites the result is 1. Now calculating the mean we have:

The standard deviation is:

Then using the data that we have:

Then the standard deviation is 0.78