The probability of getting disease X (event A) is 0.65, and the probability of getting disease Y (event B) is 0.76. The probability of getting both disease X and disease Y is 0.494. Are events A and B dependent or independent?

Answers

Answer 1
Answer:

Answer:

The events A and B are independent

Step-by-step explanation:

The occurrence of disease X is not impacting the chances of occurrence of disease Y. Thus, these two events have no relation with each other.

The probability of getting both the disease X and disease Y when they both are considered as two independent events

= (0.65) ( 0.76)\n= 0.494

Thus , it can be said that the events A and B are independent

Answer 2
Answer: I would say independent since the problem doesn't state any relation between disease X and disease Y. Also I beleive if it were dependent the probability of getting both wouldn't be .494 (which is .65 *.76). It would have to be probability of event A and event B, and then divided by probability of just B

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Answers

1/3 + 2/5 • 2/3

2 • 2 = 4
5 • 3 = 15

1/3 = 5/15

5/15 + 4/15 = 9/15 = 3/5

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3
a + 8 = 22

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

If any two sides and any angle are congruent in two triangles, then the triangles must be congruent. is it true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

To Find: True or False

If any two sides and any angle are congruent in two triangles, then the triangles must be congruent.

It is not always true according to rule of congruence. If two sides are equal then angle between them must be equal for SAS property.

It is false

Total possible congruence for two sides and one angle :  SSA , A-SS,    SAS  

Only three possible property.

SAS is only true for concurrency of triangle.

SSA and A-SS are false for any two side and any one angle.

Please find the attachment for difference in three property.

Hence, The given statement is false.

Well,  It is False. The sides must form the angle, i.e. /_ <- the angle formed, and the two sides must be in this position. its the ASA postulate.


I hope this helps!

What is the solution to the compound inequality?

Answers

7x+(3)/(4)\geq13|\cdot4\n28x+3\geq52\n28x\geq49\nx\geq(49)/(28)\nx\geq(7)/(4)\n\n(5)/(2)x-(1)/(3)\geq-(11)/(2)|\cdot6\n15x-2\geq-33\n15x\geq-31\nx\geq-(31)/(15)\n\nx\geq-(31)/(15) \vee x\geq(7)/(4)\n\boxed{x\geq-(31)/(15)}

1.0 liter of a gas at standard pressure and pressure is compressed to 473ml. What is the new pressure of the gas?

Answers

If we assume that T does not change, then PV = k. 

If this is true, then P1V1 = P2V2 (Boyle's Law) 

P1 = 1 atm (standard pressure) 
V1 = 1 L 
P2 = ? 
V2 = .473L 

P2 = 2.11 atm

A car uses 20 gallons of fuel to travel 440 miles. How much fuel will the car use to travel 1054 miles?

Answers

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 20 gallons of fuel is used to travel 440 miles.

47.91 gallons of fuel is used to travel 1054 miles.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A car uses 20 gallons of fuel to travel 440 miles.

This can be written as:

20 gallons = 440 miles

Divide both sides by 440.

20/4440 gallons = 1 miles

This means,

20/440 gallons is needed to travel for 1 mile.

Now,

20/440 gallons = 1 miles

Multiply both sides by 1054.

1054 x (20/440) gallons = 1054 miles

47.91 gallons = 1054 miles

This means,

47.91 gallons of fuel is used to travel 1054 miles.

Thus,

If 20 gallons of fuel is used to travel 440 miles.

47.91 gallons of fuel is used to travel 1054 miles.

Learn more about unitrates here:

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if the car uses 20 gallons for 440 miles it will use 48 gallons for 1054