Hi there!
Solving th' Inequality :-
4y + 3 > 24 + 14
=> 4y + 3 > 38
=> 4y > 38 - 3
=> 4y > 35
=> y >
=> y > 8.75
Therefore, all real number y which are greater than 8.75 are the solutions of th' given Inequality.
Hence,
Solution of the following Inequality is : ( 8.75, ∞ )
~ Hope it helps!
Answer: m<6 = 68 degrees
Step-by-step explanation:
Angle 1 is supplementary to angle 4 because they are the product of two intersecting lines. This means angle 1 + angle 4 = 180 degrees. Subtract 112 from 180. 180-112 = 68. Angle 4 is 68 degrees.
The alternate interior angle theorem states that angles on the inside of the two parallel lines will be the same as the ones diagonal from them (4 = 6, 3 = 5 for this example). Since angle 4 is congruent to angle 6, angle 6 also measures 68 degrees.
The answer is 0.008. Hopefully you understand why :)
Answer:
25% probability that all three residents will choose the same plumbe
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Each resident randomly chooses one of the two plumbers.
This means that 
Three residents:
This means that 
What is the probability that all three residents will choose the same plumb
This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So
25% probability that all three residents will choose the same plumbe
C- Often times, if someone is using a coupon, they just want the lowest price and don't care what toothpaste is considered "the Best."
