Ask question

Ask question

All categories

Alenkasestr [34]

3 years ago

7

A single ball is drawn from an urn containing 6 balls numbered 1 through 6. Find the probability that the ball choosen is as fol

lows.
An even-numbered ball or an odd-numbered ball

1 answer:

Stolb23 [73]3 years ago

6 0

There are 3 even number: 2.4. and 6, so the probabilty of getting an even-numbered ball is 3/6, which is 0.5.
the same is getting an odd number, 0.5

You might be interested in

Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

Mackenzie works as a salesperson at an electronics store and sells phones and phone accessories. Mackenzie earns a $10 commissio

LuckyWell [14K]

Answer:

Step-by-step explanation:

p=number of phones sold

a=number of accessories sold

10p+4a=126

c=7+a

4 0

3 years ago

Substituting x-4=y and -5y+8x=29

Marianna [84]

The answer is x=3. Work shown in the photo above!

3 0

3 years ago

Read 2 more answers

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28 <= This equation is about the number of coins.

0.05n + 0.10d = 2.35 <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d = 2.35

0.05n + 0.10d = 2.35

Now there is only one variable.

0.05(28 - d) + 0.10d = 2.35 <=distribute this

0.05(28 - d) + 0.10d = 2.35

1.4 - 0.05d + 0.10d = 2.35 <=combine like terms

1.4 + 0.05d = 2.35 <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28 <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

8 0

3 years ago

Read 2 more answers

What shape is the base of a pentagonal pyramid ?

Likurg_2 [28]

Answer:

Step-by-step explanation:

The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

7 0

3 years ago