Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
Step-by-step explanation:
4. To use SSS, you need three pairs of congruent sides. You're given two pairs of congruent sides, so the additional information needed is WY ≅ KM.
5. To use ASA, you need a pair of congruent sides between two pairs of congruent angles. You're given one pair of congruent angles, and since the triangles share a common side, we know BC ≅ BC. So the additional information needed is ∠WBC ≅ ∠ACB.
6. To use SAS, you need a pair of congruent angles between two pairs of congruent sides. You're given two pairs of congruent sides, so the additional information needed is ∠I ≅ ∠F.
Hi...the answer is b.. I would recommend plot graph and find the gradient.... then use the point formula
Answer:
Step-by-step explanation:
Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute
= 12 per hour.
a) the probability that the time between two successive arrivals is less than 6 minutes
= For one hour more than 60/6 =10 customers arrive.
P(X>10) = 0.6528
b) Prob that there will be exactly three arrivals during a given 10-minute period
P(x=3) for average 2
= 0.1804
25a is true
25b is true
25c is false
25d is false
