Answer:

Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius

so

step 2
Find the measure of arc MP



step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising

substitute the value

step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees


therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP

substitute the values


I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
<span>
x = 4.5 cm
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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<span>(1/2)n = 0.015625
n log 0.5 = log 0.015625
n = log 0.5 / log 0.015625
n = 6</span><span>24 days / 6 half-lives = 4.00 days (the length of the half-life)
</span>
Answer:
The value of the parameter is λ is 0.03692
Step-by-step explanation:
Consider the provided function.
for −∞ < x < ∞.
It is given that standard deviation is given as 38.3 km.
Now we need to calculate the value of parameter λ.
The general formula for the probability density function of the double exponential distribution is: 
Where μ is the location parameter and β is the scale parameter.
Compare the provided equation with the above formula we get.
and μ = 0.
Standard deviation = √2β

Now substitute the value of β in
.

Hence, the value of the parameter is λ is 0.03692