Answer:
Step-by-step explanation:
Hello!
Maria and John want to adopt a pet. The animals available for adoption are:
7 Siamese cats
9 common cats
4 German Shepherds
2 Labrador Retrievers
6 mixed-breed dogs
Total pets available: 28
To reach the probability of each pet category you have to divide the number of observed pets for the said category by the total of pets available for adoption:
P(Siam)= 7/28= 0.25
P(Comm)= 9/28= 0.32
P(Ger)= 4/28= 0.14
P(Lab)= 2/28=0.07
P(Mix)= 6/28=0.21
a.
You need to calculate the probability that the selected pet is a cat, this situation includes the categories "Siamese" and "common cat"
P(Cat)= P(Siam) + P(Comm)= 0.25+0.32= 0.57
b.
You have a total of 16 cats out of 28 pets. If you express it in the ratio: 16:28 → using 4 as a common denominator the odds of selecting a cat is: 4:7
c.
P(Cat∪Mix)
The events "cat" and "mixed-breed dog" are mutually exclusive, so you can calculate the probability of the union of both events as:
P(Cat∪Mix)= P(Cat)+P(Mix)= 0.57+0.21= 0.78
d.
Now you are in the situation that they select a dog that is not a labrador, this situation includes the categories " German shepherd" and "mixed-breed"
P(NotLab)= P(Ger)+P(Mix)= 0.14 + 0.21= 0.35
I hope this helps!
It will take you around 4 and a half weeks
Answer:
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
Step-by-step explanation:
Cost of k key chain=$2.49
Cost of p photo frames=$2.49
Cost of a T-shirt=$5.99
Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt
=2.49k + 2.49p + 5.99
Factorise
2.49 is common to both k and p
=2.49(k + p) + 5.99
Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99
All you have to do is write a positive number. let's say 4, then write a positive exponent (that's the tiny number in the right corner of the regular number) and then just write a positive exponent less than 4.
So 4 squared
The total amount earned in the month is $12750
<h3>How to determine the total amount earned for the month?</h3>
From the question, we have the following parameters that can be used in our computation:
- Commission percentage = 5%
- Base salary = $4000
- Total sales of house in the month = $175,000
The total amount for the month is then calculated as
Amount = Commission percentage x Total sales in the month + Base salary
Substitute the known values in the above equation
So, we have
Amount = 5% x 175000 + 4000
Evaluate
Amount = 12750
Hence, the amount earned is $12750
Read more about commission at
brainly.com/question/15317792
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