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Katen [24]
3 years ago
5

At Central Online High School, 45/100 of the students have a dog, 30/100 of the students have a cat, and 18/100 of the students

have both a dog and a cat. What is the probability that students who have a cat also have a dog?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

<h2>6/15</h2>

Step-by-step explanation:

18/30 becuase 30 have a cat and 18 have both.

18/30 = 6/15

I'm always happy to help :)

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Find the value of x <br> a. 2<br> b. 4<br> c. 6<br> d. 8
tiny-mole [99]

Answer:

B, 4

Step-by-step explanation:

To do this you can use the Pathagaryos thereom a^2+b^2=c^2

So we have (x-2)^2+x^2=20

We can expand (x-2)^2 and get

x^2-4x+4

so we have x^2 -4x +4 + x^2=20

We can combine like terms and subtract 20 from both sides to get

2x^2-4x-16=0

We can factor this and get (2x+4)(x-4)

which means that x=4 and -2

Obviously the length can't be a negative and so we reject x= -2 and we get x=4

We can double check it and see that

(4-2)^2+4^2=20

and it does

8 0
3 years ago
Using exactly four 4's and any operations[+,-,x,/,()] write an expression to equal each of the following:
IrinaK [193]
3 = 4 - 4^0 * 4/4

4 =  4^0 + 4^0 + 4^0 + 4^0

5 = 4^2 / (4^0 * 4)  + 4^0

6  = 4^2 / 4  + 4^0 + 4^0


4 0
3 years ago
Factorise -75ab² - 15ac
Verdich [7]

Answer:

1)  -15·a·(5·b² + c)

2) h < 4

3) 4·x² - 9

4) 1792

5)  156°

6) 2t cm

7) 2·a·m·(2·m - 3)

8)  10 cm

9) 0.00051

10)  #47,250

11)  -10·p·q

12) 1.35 × 10⁻⁴

13) 320°

14) 20 cm

15) 12·x²·y²

16) 6.36 × 10⁵

17) 4 cm

18)  225°

19) 1034 cm²

20) 29

Step-by-step explanation:

1) The given expression is -75·a·b - 15·a·c

Which can be expressed as -15·a·(5·b² + c)

2) The height, h < 2 × 12/6 = 4

h < 4

3) (2·x - 3)·(2·x + 3) = 4·x² - 9

4) The selling price = 1.12 × 200 × 8 = 1792

5) The interior angle of a polygon is given by the relation;

(n - 2)×180/n for 15, we get;

(15 - 2)×180/15 = 156°

6) 2t cm

7) 4·a·m² - 6·a·m = 2·a·m·(2·m - 3)

8) Slant height = √(8² + 6²) = 10 cm

9) 51 × 10⁻⁵ = 0.00051

10) Cash price = #54,000 × (1 - 0.125) = #47,250

11) -40·p·q÷(-2)² = -10·p·q

12) 0.003 × 0.045 = 1.35 × 10⁻⁴

13) N40°W = 320°

14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm

15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²

16) 636,000 = 6.36 × 10⁵

17) 1/3·π·r²·h₁ = π·r²·h₂

h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3

h₂/12 =  1/3

h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm

18) The angle = 180 + 45 = 225°

19) The total surface area = 22/7×14²/4 +  22/7 ×14 × 20 = 1034 cm²

20) The number is 58/2 = 29.

4 0
3 years ago
A roll of tape has a circumference of 19 centimeters. The circumference decreases 4 centimeters after you use some of the tape.
olga_2 [115]

Answer:

4.77 cm correct to the nearest hundredth.

Step-by-step explanation:

The new circumference = 19 - 4 = 15 cm.

Circumference C = π * diameter

So the diameter =  C/π = 15/π = 4.7746 cm

8 0
2 years ago
WHATS THE PERIMITER PLS HELP ME
mihalych1998 [28]
I believe the answer is c
4 0
3 years ago
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