Alright Fabian, here's the deal.
First you need to solve the inequality for k. To do this, you have to
a) distribute the -(3k + 4)
b) collect like terms: -k - 3k
c) move the term with k to the left (optional but it's a habit)
d) divide both sides by the coefficient. Check out picture for details.
The first one is 91.66666666667
The second one is 18.3333333333
Question 1 - You need to split the L shape into 2 shapes.
6mm x 2mm = 12mm
and
5mm x 2mm = 10mm
add 12mm and 10mm
the area is 22mm squared (a little 2 above the mm)
question 2 - you need to do the same
4mm x 2mm = 8mm squared
7mm x 2mm = 14mm squared
area - 22mm squared
The probability that the next customer will pay with cash is 0.76
<h3>What is the probability?</h3>
Formula to find the probability of an event is:
P(A) = n(A)/n(S)
where;
n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment/survey
We are given that;
45 customers paid cash
8 customers used a debit card
6 customers used a credit card.
Thus, the total number of customers:
n(S) = 45 + 8 + 6
n(S) = 59
Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45
Therefore, the probability that the next customer will pay with cash would be;
P(A) = n(A)/n(S)
P(A) = 45/59
P(A) = 0.76
Read more about Probability at; brainly.com/question/23047865
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The answer is B) 1/4.
There are 2 outcomes in his tree that have all coins with the same side up: HHH and TTT. There are 8 total outcomes. This makes the probability 2/8 = 1/4.