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SSSSS [86.1K]
3 years ago
7

There are 10 cats, 15 dogs, and 12 birds in a shelter. one animal is randomly selected. what is p(dog and cat)?

Mathematics
1 answer:
Arada [10]3 years ago
4 0
The total numbers of cats, birds and dogs in the shelter is 37
the probability of selecting a cat from the shelter is 10/37
the probability of selecting a dog from the shelter is 15/37
probability of a dog and a cat is given by
10/37*15/37=150/1369
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How many 3 digit numbers can you make using these numbers: 4,2,9 (numbers can be reapeated)
bogdanovich [222]

Answer:

You can make 27 different 3 digit numbers

Step-by-step explanation:

Since we can use 3 different numbers this means that each of the 3 digits can be one of the 3 numbers (4,2,9). This means that there are 3 different values for the first digit, 3 different values for the second digit, and 3 different values for the third digit, which mean that we can make 3 x 3 x 3 different 3 digit numbers (we took the number of possible values for each digit and multiplied them together.

3 x 3 x 3 = 27

8 0
3 years ago
2x-1, x < 2 12. Show that f(x) = { 3x 2 x ≥ 2 is continuous.​
choli [55]

Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.

<h3>What is the continuity concept?</h3>

A function f(x) is continuous at x = a if it is defined at x = a, and:

\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)

The definition of the piecewise function is given by:

  • f(x) = 2x - 1, x < 2.
  • f(x) = 3x/2, x >= 2.

Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.

The lateral limits are:

  • \lim_{x \rightarrow 2^-} f(x) = \lim_{x \rightarrow 2} 2x - 1 = 2(2) - 1 = 3.
  • \lim_{x \rightarrow 2^+} f(x) = \lim_{x \rightarrow 2} 1.5x = 1.5(2) = 3.

The numeric value is:

f(2) = 1.5 x 2 = 3.

Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.

More can be learned about the continuity concept at brainly.com/question/24637240

#SPJ1

4 0
2 years ago
Pratap Puri rowed 14 miles down a river in 2 ​hours, but the return trip took him 3 and one half hours. Find the rate Pratap can
SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

7 0
2 years ago
PLEASE HELP!! :( <br> 6th grade math ( I suck at math)
agasfer [191]

Answer:

Width              Length

5                        8.7

7.9                    11.6

9                        12.7

11.3                     15.0

13                      16.7

Step-by-step explanation:

If they gave you the width, you add 3.7 to get the length.

If they gave  you the length, you subtract 3.7 to get the width.

4 0
3 years ago
Read 2 more answers
LM and N O are parallel lines what therom can we prove by translating the plane along the directed line segment M N?
Nezavi [6.7K]

Answer:

no idea lol

Step-by-step explanation:

6 0
2 years ago
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