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Law Incorporation [45]
2 years ago
13

Bentley spun a spinner with 4 equal sections labeled 1–4. The spinner landed on 1 three times, on 2 four times, on 3 six times,

and on 4 three times. For which number is the experimental probability the same as its theoretical probability? Explain.
Mathematics
1 answer:
OverLord2011 [107]2 years ago
4 0

Answer:

2

Step-by-step explanation:

Experimental probability : (Number of times event occur / total number of trials)

Total Number of trials = (3 + 4 + 6 + 3) = 16

Experimental probability :

For 1: P(1) :

3/16

For 2 : P(2) :

4/16 = 1/4

For 3: P(3)

6 /16 = 3/8

For 4 : P(4)

3 / 16

Theoretical probability :

The Theoretical probability of 1, 2, 3 and 4 are the same ;

Theoretical probability =

(Required outcome / Total possible outcomes)

For each of 1 - 4

Theoretical probability = 1 /4

Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability

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Martha is following a recipe for 13 liters of punch that uses 8 liters
trasher [3.6K]

Answer:

For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.

The ratio of liters of pineapple juice to liters of punch is 8:13

Step-by-step explanation:

13 - 8 = 5

5 divided by 5 is 1

8 divided by 5 is 1.6

8 0
2 years ago
Talia works 6 hours per day on Fridays and Saturdays each week. She earns $8.20 per hour
Simora [160]

<u>Question 1 </u>

Talia works 6 hours on Friday and 6 hours on Saturday. Total Work = 6+6 = 12 hours.

Hourly Rate = 8.20 dollars per hour.

Gross Pay = (Total Work) x (Hourly Rate) = 12 x 8.20 = 98.40 dollars.

Hence, option D is correct i.e. 98.40 dollars.

<u>Question 2 </u>

Mikey worked 8 hours on Wednesday, 6 hours on Thursday and 7 hours on Friday.

Total Work = 8+6+7 = 21 hours.

Gross Pay = 187.95 dollars.

Hourly Rate = (Gross pay)/(Total work) = (187.95)/21 = 8.95 dollars per hour.

Hence, option A is correct i.e. 8.95 dollars per hour.

<u>Question 3 </u>

Nina's Hourly Rate for first 40 hours = 12.25 dollars per hour.

Overtime rate for after first 40 hours = 1.5 x 12.25 = 18.375 dollars per hour.

Total work = 46 hours.

Gross Pay = (Hourly rate)x(first 40 hours) + (Overtime rate)x(Excess time after first 40 hours)

Gross pay = (12.25 x 40) + (18.375 x 6)

Gross pay = 490 + 110.25

Gross pay = 600.25 dollars.

Hence, option A is correct i.e. 600.25 dollars.

<u>Question 4 </u>

Tip amount = 15 dollars.

Meal cost = 75 dollars.

Tip percentage = (Tip amount / Meal cost) x 100

Tip percentage = (15 / 75) x 100 = 20%

Hence, option B is correct i.e. 20%

<u>Question 5 </u>

Weekly Salary = 844 dollars.

Commision Rate = 4% = 0.04

Last week Sales = 3250 dollars.

Last week commission on sales = 0.04 x 3250 = 130 dollars.

Gross pay = Weekly Salary + Commission amount.

Gross pay = 844 + 130 = 974 dollars.

Hence, option C is correct i.e. 974.00 dollars.

5 0
3 years ago
Failed his first test, what is the probability that steve will fail his next drug test
CaHeK987 [17]
If he failed it once, then the probability out of two times is 1/2. He has a 50% chance of failing the drug test again.

I hope this helps!
4 0
3 years ago
Janice NEEDS 3 GALLONS of lemonade for a party. She has 4 quarts, 6 pints and 4 cups of lemonade already made. How many CUPS of
slamgirl [31]

Answer:

32 cups

Step-by-step explanation:

To find the total number of cups, we have to convert the measures that are not in cups to cups and add

1 quart  = 4 cups

4 quarts = 4 x4 = 16 cups

1 pint = 2 cups

6 pints = 2 x 6 = 12 pints

total number of cups = 16 + 12 + 4 = 32 cups

4 0
3 years ago
How how do you solve this please explain​
zhannawk [14.2K]

Answer:

1. have se x

Step-by-step explanation:

8 0
3 years ago
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