Answer:
7/66
Step-by-step explanation:
The probability of picking one girl would be 5/12 That is because there are 5 girls out of the 12 students, and the probability of an event occuring is:
of things you want/of things are possible
Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us 7/11 for the probability of picking a boy as the second pick.
And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be: 4/10
We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:
5/12 * 7/11 * 4/10 = 140/1320
Which when reduced is: 7/66
p = 3m
Step-by-step explanation:
p = number of pages
m = minutes read
3 times the number of minutes she reads will give you the number of pages she read.
The sum of the sides of a quadrilateral is equal to 360º.
x= 4th angle measurement
We have the following equation:
90+156+28+x=360
x=360-90-156-28
x=86
Answer: the size of the 4th angle would be 86º.
Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:
For angle θ:
- If x > 0 and y > 0:
;
- If x < 0:
; - If x > 0 and y < 0:
;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17
The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ = 
c) (√2,1,1)
= 2
= 
d) (−2√3,−2,3)
= 5
Since x < 0, use 2nd option:
Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:
Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
= 
z = -4
b) (0, 8, 15)
= 8
z = 15
c) (√2,1,1)
= 
z = 1
d) (−2√3,−2,3)
= 4
z = 3
