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Lena [83]
3 years ago
13

Why is it important to know how to estimate quotients?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0
In the real world you are not going to have a calculator on you 24/7. Nor will you have a pencil or paper to do longhand. You need to know how to accurately estimate your answers in order to be successful.
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Maria and John have decided that once they live in a house, they want to have a pet. They go to an animal shelter and find sever
Natali5045456 [20]

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!

4 0
3 years ago
Drag the integers to substitute for the variables in the
aniked [119]

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

7 0
3 years ago
Help please !! easy question i believe :))
kolezko [41]
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.
6 0
3 years ago
Suppose you want to solve the equation 2a + 2b= 2a, where a and b are nonzero real numbers. Describe the solution to this equati
Anna11 [10]
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.
5 0
3 years ago
Is the gfc of a pair of numbers ever equal to one of the numbers
Nataly_w [17]

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

7 0
4 years ago
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