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ella [17]
2 years ago
9

Deion owns a small business selling clothing. He knows that in the last week 45 customers paid cash, 6 customers used a debit ca

rd, and 37 customers used a credit card.
Based on these results, express the probability that the next customer will pay with cash as a decimal to the nearest hundredth.
Mathematics
1 answer:
erastova [34]2 years ago
7 0

The probability that the next customer that will come into the clothing store will pay with cash is 0.51.

<h3>What is the probability?</h3>

Probability is the odds that at stated event would occur. The odds the event occurs is 1 and the odds that the event does not occur is 0.

The probability that the next customer will pay with cash = total customers that paid with cash / total number of customers

45 / (45 + 6 + 37) = 0.51

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

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Let a = {1, 2, 3, 4, 5} b = {1, 3, 5} c = {4, 6}. find the cardinality of the given set. 33. n(a) 34. n(b) 35. n(a ⋃
bearhunter [10]

1) n(a) = 5


The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5


2) n(b) = 3


Simlarly, in this case you need to count how many elements belong to the set, the answer is 3


3) n(a ⋃ c) = 6


The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.


4) n(a ⋂ c) = 1


The intersection of two sets is a set composed by the elements belonging to both sets. So, 1,2,3 and 5 don't belong to the intersection, because they belong to the first set alone, while 6 doesn't belong to the intersection because they don't belong to the first one. So, a ⋂ c = {4}, and thus n(a ⋃ c)=1.

4 0
3 years ago
Read 2 more answers
The angle of elevation of the sun is 22∘. A 6ft tall man is standing in the shadow of a 76 ft tall tree so that the tips of thei
Anika [276]

Answer: 173.26 ft = 173 ft

Step-by-step explanation:

h tree: 76 ft

h man: 6 ft

As we can see on the sketch, they form a right triangle, so:

tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft

tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft

distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft

6 0
2 years ago
Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles p
garik1379 [7]
The average speed is given by:
average speed=(total distance)/(total time)
total time for the first 30 miles was:
time=distance/speed
=30/30
=1 hr
total time for the remaining 30 miles
=30/60
=0.5
hence the average speed will be:
speed=(30+30)/(1+0.5)=60/1.5=40 miles per hour 
8 0
3 years ago
Which statement correctly compares the function shown on this graph with
UkoKoshka [18]

Answer: I think it’s A

Step-by-step explanation:

7 0
3 years ago
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ASAP I NEED HELP
alexdok [17]

The vertex of this parabola is at (3,-2). When the x-value is 4, the y-value is 3: (4,3) is a point on the parabola. Let's use the standard equation of a parabola in vertex form:

y-k = a(x-h)^2, where (h,k) is the vertex (here (3,-2)) and (x,y): (4,3) is another point on the parabola. Since (3,-2) is the lowest point of the parabola, and (4,3) is thus higher up, we know that the parabola opens up.

Substituting the given info into the equation y-k = a(x-h)^2, we get:

3-[-2] = a(4-3)^2, or 5 = a(1)^2. Thus, a = 5, and the equation of the parabola is

y+2 = 5(x-3)^2 The coefficient of the x^2 term is thus 5.

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2 years ago
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