Answer:
266.67
Step-by-step explanation:
120=.45(x)
x=266.67
Well Tristan better get it together
9514 1404 393
Answer:
5/4
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (9 -4)/(7 -3) = 5/4
The slope of the line through those points is 5/4.
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The attached graph shows the equation of the line in point-slope form, so you can see that the computed slope makes the line go through both points.
Answer: Either 25.0 or 25 depending on how your teacher wants you to format the answer
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Explanation:
To start off, it probably helps to translate what the question wants.
It states "For the pilot of airplane B, calculate the angle between the lines of sight to the airplane at C and Jenny's airplane [at point A]".
This fairly long, and possibly complex, sentence boils down to "find angle B"
To find angle B, we need to find the length of side 'a' first
Let,
a = x
b = 4.2
c = 5.7
Note how the lowercase letters (a,b,c) are opposite their uppercase counterparts (A,B,C). This is often the conventional way to label triangles. The lowercase letters are usually for the side lengths while the upper case is for the angles.
We have angle A = 120 degrees
Plug these values into the law of cosines formula below. Then solve for x
a^2 = b^2 + c^2 - 2*b*c*cos(A)
x^2 = 4.2^2 + 5.7^2 - 2*4.2*5.7*cos(120)
x^2 = 17.64 + 32.49 - 47.88*cos(120)
x^2 = 17.64 + 32.49 - 47.88*(-0.5)
x^2 = 17.64 + 32.49 + 23.94
x^2 = 74.07
x = sqrt(74.07)
x = 8.60639297266863
x = 8.6064
So side 'a' is roughly 8.6064 kilometers when we round to four decimal places
Now we'll use this to find angle B
Use the law of cosines again, but this time, the formula is slightly altered so that angle B is the focus instead of angle A
Plug in the side lengths (a,b,c). Solve for angle B
b^2 = a^2 + c^2 - 2*a*c*cos(B)
(4.2)^2 = (8.6064)^2 + (5.7)^2 - 2*(8.6064)*(5.7)*cos(B)
17.64 = 74.07012096 + 32.49 - 98.11296*cos(B)
17.64 = 106.56012096 - 98.11296*cos(B)
17.64 - 106.56012096 = 106.56012096 - 98.11296*cos(B)-106.56012096
-88.92012096 = -98.11296*cos(B)
(-88.92012096)/(-98.11296) = (-98.11296*cos(B))/(-98.11296)
0.906303519535034 = cos(B)
cos(B) = 0.906303519535034
arccos(cos(B)) = arccos(0.906303519535034)
B = 25.0005785532867
It's a bit messier this time around, but we get the approximate angle
B = 25.0005785532867
which rounds to
B = 25.0 degrees
when we round to the nearest tenth. We can write "25.0" as simply "25"
Answer:
The probability is
Step-by-step explanation:
Generally a true positive means that the person tested is a drug user and he/she test positive to the test
while true negative mean that the person tested is not a drug user and he/she test negative to the test
From the question we are told that
The probability that a person test positive to the drug test given that the person is a drug user is
Here P => event that a person test positive to the drug test
U => event that the person is a drug user
The probability that a person test negative to the drug test given that the person is not a drug user is
Here N => event that a person test negative to the drug test
S => event that the person is not a drug user
The probability that a person is a drug user is
Generally the probability that a person test positive to the test given that the person is a non- user is
=>
Generally the probability that a person is a non user of drug is
=>
Generally the probability that a person test positive to the drug test is mathematically evaluated as
=>
=>
Generally the probability a person is a user given that he or she tested positive is mathematically represented as
=>
=>
Converting to percentage
=>