Answer:
≈ 33.2 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)
d = 
= 
= 
= 
≈ 33.2 ( to 1 dec. place )
A) Both terms contain x, so they can be combined. -25 + 36 = 11 therefore -25x + 36x = 11x
B) 7s and 3s both contain s, so they can be combined, but the 3 cannot be combined with them as it does not contain an s. 7 - 3 = 4 therefore 7s - 3s = 4s. The 3 stays on its own as it cannot be combined, therefore the answer is 4s + 3
C) 12x and 2x contain x, so they can be combined, but the 11 cannot be combined with them as it does not contain an x. 12 - 2 = 10 therefore 12x - 2x = 10x. The 11 stays on its own as it cannot be combined, therefore the answer is 10x - 11
Answer:
a. 0.00069
b. 0.063
c.0.00095
Step-by-step explanation:
a. Probability that exactly 5 men consider themselves professional baseball fans:-
Here, there's a 63/100 or 63% possiblity that five (5) men consider themselves fans and of course, a 37/100 possibility that the other 5 men consider themselves non fans. Each of these must be multiplied and then the result will be the probability that exactly five men consider themselves baseball fans:-
(63/100)^5 × (37/100)^5
= 0.09924 × 0.006934
= 0.000688
Therefore the probability that 5 consider themselves baseball fans is 0.00069
b. The probability that at least 6 are fans:-
In this case, each of the 6 men have some 63/100 or 63% possibility of being a fan.
We therefore multiply 63/100 by itself up to six times
i.e 63/100 × 63/100 × 63/100 × 63/100 × 63/100 × 63/100
or (63/100)^6
= 0.06252
The probability that at least 6 men consider themselves professional baseball fans is 0.063
c. Probability that less than four consider themselves baseball fans:-
In this scenario, it means that at least 7 men out of the ten do not consider themselves professional baseball fans. We then simply multiply 37/100 by itself up to seven times. It isn't too necessary what the remaining three are.
= (37/100)^7
= 0.0009493
Therefore the possibility that less than four men do not consider themselves baseball fans is 0.00095
Answer:
a is the ans;8/15
Step-by-step explanation:
we have tanb = p/ b
so,by taking reference angle b we get,
p=8 and b= 15.
therefore; tanb=8/15
Answer:
1
Step-by-step explanation:
