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Eddi Din [679]
3 years ago
15

A prize wheel is divided into 12 equally likely spaces labeled 1 to 12.

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

Events E and F are independent.

Step-by-step explanation:

E = {multiple of 3}  = {3, 6, 9, 12}

P(E) = 4/12

F = {even number}  = {2, 4, 6, 8. 10, 12}

P(F) = 6/12

E and F = {even and multiple of 3} = {6, 12}

P(E∩F) = 2/12

In order for two events to be independent the following relationship must be true:

P(E)*P(F) = P(E\cap F)

Testing this property:

P(E)*P(F) = \frac{4}{12}*\frac{6}{12}=\frac{24}{144}=\frac{1}{6}    \\P(E\cap F) = \frac{2}{12}=\frac{1}{6} \\P(E)*P(F) = P(E\cap F)

The relationship holds true, thus events E and F are independent.

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Frank was skiing down big bear mountain. He finished 22% of his skiing in the morning. Then he still had 23.4 miles left. How ma
gtnhenbr [62]

Answer: 6.6 miles

Step-by-step explanation:

Since he finished 22% of his skiing in the morning, that means he still has 78% (100% - 22%) of his skiing left.

The remaining 78% is equivalent to 23.4 miles. We need to know the total miles of the skiing. This will be:

78% of x = 23.4

0.78 × x = 23.4

0.78x = 23.4

x = 23.4 / 0.78

x = 30 miles

Since the total skiing is 30 miles and he has 23.4 miles left, the miles covered in the morning will be:

= 30 - 23.4

= 6.6 miles

8 0
3 years ago
4x + 3y = 5<br> 2x – y=5<br> Use substitution method
lukranit [14]

Answer:  Slope = -2.667/2.000 = -1.333

 x-intercept = 5/4 = 1.25000

 y-intercept = 5/3 = 1.66667

Step-by-step explanation: Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.667 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 1.667 = -2.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

7 0
3 years ago
Cooper has 4 cookies and wants to split them among his six friends if each person should get the same amount what part of the co
pantera1 [17]

Answer:

1.5

Step-by-step explanation:

6 divided by 4

8 0
3 years ago
Trimble Graphic Design receives $2,250 from a client billed in a previous month for services provided. Which of the following ge
krok68 [10]

Answer:

Dr   Cash/Bank $2,250

Cr   Account Receivable $2,250

Step-by-step explanation:

At the time the transaction was carried out, that is the previous month, the accounting entries was a debit to account receivable (client account) and a credit to sales account. which is as shown below:

<em>Dr   Account Receivable $2,250</em>

<em>Cr   Sales  $2,250</em>

<em>Being sales on credit to a client.</em>

The client account will have an outstanding debit balance of <em>$2,250 </em>until payment is made. once payment is made, the following entries will be made to ensure no outstanding balance in the client account.

Dr   Cash/Bank $2,250

Cr   Account Receivable $2,250.

7 0
3 years ago
If you have 9/10 of a pound of granola how many 1/5 pound bags can you fill ?
Lostsunrise [7]

Answer:

4

Step-by-step explanation:

1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.

3 0
3 years ago
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