Let’s change the equation into
y=mx+b
5x-6y=13 Subtract 5x on both sides
-6y=-5x+13 Then divide by -6 on both sides
Y=5/6x-13/6
m will be your slope
so:
Slope=5/6
Because is likely that the first outcome affected the second one, we can conclude that the events are dependent.
<h3>
When two events are independent?</h3>
Two events are independent if the outcome of one can't affect the outcome of the other.
Here, first, she chooses a blue marker from one box and then a yellow one from another, these are the two events.
Now, these are independent or dependent?.
Well, the fact that she chooses a blue marker first, means that she probably would not want to choose another blue marker for the second one. So yes, the first outcome does affect the second outcome, meaning that the events are dependent.
If you want to learn more about dependent and independent events, you can read:
brainly.com/question/1757299
Answer:
0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 114.8 mm Hg
Standard Deviation, σ = 13.1 mm Hg
Sample size = 23
We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
P(blood pressure is between 119 and 122 mm Hg)
0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.
<u>Sin is -sqrt 2/2 cos is sqrt2/2 and tan is -1</u>
Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.
