Answer:
31.82% probability that this day would be a winter day
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening
In this question:
Event A: Rain
Event B: Winter day
Probability of rain:
0.42 of 0.25(winter), 0.23 of 0.25(spring), 0.16 of 0.25(summer) or 0.51 of 0.25(fall).
So
Intersection:
Rain on a winter day, which is 0.42 of 0.25. So
If you were told that on a particular day it was raining in Vancouver, what would be the probability that this day would be a winter day?
31.82% probability that this day would be a winter day
Answer:
x = 7 , y= - 6
Step-by-step explanation:
4x = -2 - 5y ___(1)
4x= 10 - 3y ___(2)
so, now by simultaneous equations,
10 - 3y = - 2 - 5y
2y = -12
y = -6
if y = -6
then, 4x= 10 -3(-6)
4x =28
x = 7
105 is a composite number. 105 = 1 x 105, 3 x 35, 5 x 21, 7 x 15. Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105. Prime factorization: 105 = 3 x 5 x 7.
Answer:
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
So rewriting both equations using the tangents values, we have that:
From the first equation, we have that:
Using this value of x in the second equation, we have that:
Answer:
TPW is a isosceles because it has at least two equal sides and two equal angles (two congruent sides and angles)
Step-by-step explanation:
Hope that helps dude !