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!
Answer/Step-by-step explanation:
Given:
5(r - s)
r = 9
s = 1
Required:
Evaluate and simplify
Solution:
5(r - s)
Plug in the values of r and s
5(9 - 1)
= 5(8)
= 40
Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
This equation has no solution where 'a' and 'b'
are both non-zero real numbers.
You said 2a + 2b = 2a
Subtract 2a from each side: 2b = 0
'b' must be zero.
And it doesn't matter what the value of 'a' is.
As long as b=0, 'a' can be any number.
Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
