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s344n2d4d5 [400]
3 years ago
5

Two balls are drawn in succession out of a box containing 5 red and 5 white balls. Find the probability that at least 1 ball was

​ red, given that the first ball was

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0
Check the tree diagram of the problem:

The first ball can be either Red or Blue, the second ball can either be Red or Blue.

The branches represent all possible scenarios. 

For example, consider the upper branch, the case when both balls are blue:

The first ball is Blue, probability 5/10, the second ball is Blue, probability 4/9 because now there are 4 left blue balls, and 9 balls in total, after we picked the first blue.

The other branches have the same logic.

The question is not completed so we have 2 cases:

"Find the probability that at least 1 ball was​ red, given that the first ball was red"

here we add the separate probabilities of (R, R) and (R, B)

P(R,R)+P(R,B)=2/9 + 5/18 =  4/18  +5/18= 9/18=0.5

 
"Find the probability that at least 1 ball was​ red, given that the first ball was blue"

probability is P(B, R)=5/18=0.28

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2 Cups

Step-by-step explanation:

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2 years ago
Analyze the diagram below and complete the instructions that
Novosadov [1.4K]

9514 1404 393

Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

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If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

6 0
3 years ago
F=1.8C+32 solve for given variable
liq [111]

Answer:

Step-by-step explanation:

The formula F = 1.8C + 32 can be used to find the temperature in degrees Fahrenheit F when the temperature is given in degrees Celsius C. For what value is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius? Justify your reasoning by writing and solving an equation. (Hint: If Fahrenheit and Celsius are equal, they can be assigned the same variable.)

4 0
3 years ago
Please help quickly !!
Nataly_w [17]

Answer:

16.5x == 465.3

Step-by-step explanation:

To find the rate , take the number of miles and divide by the gallons

rate = 465.3 / 16.5

Let the rate be x

x = 465.3 / 16.5

Multiply each side by 16.5

16.5x =  465.3

6 0
3 years ago
Monique borrows $5000 at 5.5% interest compounded daily for 29 days. How much will she owe at the end of 29 days?
slega [8]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed

From the information given,

P = 5000

r = 9

5.5% = 5.5/100 = 0.055

Assuming they are 365 days in a year

n = 365 because it was compounded 52 times in a year.

t = 29/365 = 0.0794

Therefore,

A = 5000(1 + 0.055/365)^365 × 0.0794

A = 5000(1 + 0.00015)^29

A = 5000(1.00015)^29

A = $5022

7 0
3 years ago
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