(5/6 + 2/3) - (3/4 + 1/12)

Answers

Answer 1
Answer: (5/6 + 2/3) - (3/4 + 1/12
= 9/6 - 10/12
= 18/12 - 10/12
= 8/12
= SIMPLIFY: 2/3

Hope this helps!!
Answer 2
Answer:

Answer: 5/6

Step-by-step explanation:

Let's start by making 2/3 more easier to subtract by multiplying the numerator and denominator by 2.

(2)/(3)x(2)/(2)=(4)/(6)

Now it's 5/6+4/6 which is 9/6

for the 3/4 multiple the numerator and denominator by 3

(3)/(4)x(3)/(3) =(9)/(12)

9/12-1/12=8/12

we can divide the numerator and denominator by 2  

(8)/(12) ÷ (2)/(2) =(4)/(6)

9/6-4/6=5/6


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What is 35 times 10 equal

Answers

Answer:

350

Step-by-step explanation:

A car traveled 480 miles in 4 hours. If its speed was 12 mph faster, what distance would it have traveled in 4 hours?

Answers

Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Final answer:

The car would have traveled 528 miles in 4 hours with the increased speed of 12 mph.

Explanation:

To calculate the distance the car would have traveled in 4 hours with a speed that is 12 mph faster, we need to find the original speed of the car. We can use the formula speed = distance/time, where the speed is the original speed of the car, the distance is the distance the car traveled in 4 hours (480 miles), and the time is 4 hours. Rearranging the formula, we have distance = speed x time. So, the distance the car would have traveled with the increased speed in 4 hours is 480 miles + 12 mph x 4 hours.

Using the formula, we can calculate the distance:
distance = (480 miles) + (12 mph x 4 hours) = 480 miles + 48 miles = 528 miles.

Therefore, if the car's speed was 12 mph faster, it would have traveled a distance of 528 miles in 4 hours.

Learn more about calculating distance with increased speed here:

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1. In order to get more female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260. Use this sample information to construct a 95% confidence interval for the average daily revenue. The store manager believes that the coffee and pastry strategy would lead to an average daily revenue of $1,200. Is the manager correct based on the 95% confidence interval?

Answers

Answer:

No, the manager is not correct based on the 95% confidence interval.

Step-by-step explanation:

We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .

The Pivotal quantity for 95% confidence interval is given by;

                (Xbar - \mu)/((s)/(√(n) ) ) ~ t_n_-_1

where, X bar = sample mean = $1080

                s  = sample standard deviation = $260

                 n = sample size = 35 {five-week}

So, 95% confidence interval for average daily revenue, \mu is given by;

P(-2.032 < t_3_4 < 2.032) = 0.95

P(-2.032 < (Xbar - \mu)/((s)/(√(n) ) ) < 2.032) = 0.95

P(-2.032 * {(s)/(√(n) ) < {Xbar - \mu} < 2.032 * {(s)/(√(n) ) ) = 0.95

P(X bar - 2.032 * {(s)/(√(n) ) < \mu < X bar + 2.032 * {(s)/(√(n) ) ) = 0.95

95% confidence interval for \mu = [ X bar - 2.032 * {(s)/(√(n) ) , X bar + 2.032 * {(s)/(√(n) ) ]

                                            = [ 1080 - 2.032 * {(260)/(√(35) ) , 1080 + 2.032 * {(260)/(√(35) ) ]

                                             = [ 990.70 , 1169.30 ]

No, the manager is not correct based on the fact that the coffee and pastry strategy would lead to an average daily revenue of $1,200 because the calculate 95% confidence interval does not include value of $1200.

Therefore, the store manager believe is not correct.

Final answer:

The 95% confidence interval for the store's average daily revenue is calculated to be approximately ($993.97, $1166.03). Since $1200 is outside this interval, the manager's belief that the coffee and pastry strategy will lead to an average daily revenue of $1200 is not backed by this confidence level.

Explanation:

In the field of statistics, a confidence interval (CI) is a type of interval estimate that is used to indicate the reliability of an estimate. The method for calculating a 95% confidence interval for the average daily revenue involves the sample mean, the standard deviation, and the z-score associated with a 95% confidence level, which is approximately 1.96. Let's use the provided data to calculate:

  • Calculate the standard error by dividing the standard deviation by the square root of the sample size. Here, the standard deviation is $260, and the sample size is 5 weeks * 7 days/week = 35 days. So, the standard error is $260 / sqrt(35) = $43.89.
  • Multiply the standard error by the z-score to get the margin of error. So, $43.89 * 1.96 = $86.03.
  • Calculate the lower and upper bounds of the 95% confidence interval by subtracting and adding the margin of error from/to the sample mean. So, ($1080 - $86.03, $1080 + $86.03) = ($993.97, $1166.03).

The range of this 95% confidence interval is from $993.97 to $1166.03. This means we are 95% confident that the true average daily revenue lies within this interval. Since $1200 lies outside this interval, the manager's belief is not supported by this confidence interval.

Learn more about Confidence Interval here:

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What is the answer to this equation

(7x-1)+(9x+5)

Answers

The answer is (7x-1) 20x + x

If a 4000 watt oven is on for 5 hours, then how many kilowatt-hours (kw-hrs) of energy are used?

Answers

If a 4000 watt oven is on for 5 hours, then how many kilowatt-hours (kw-hrs) of energy are used?

Solution: We are given that the oven is 4000 watt and it is on for 5 hours.

We have to find the how many kilowatt-hours (Kw-hrs) of energy are used by the oven.

We first need to convert watts into kilowatt's. We know that:

1Kw=1000 w

Therefore, 4000 Watts =(4000)/(1000)=4Kw

Now, we can find how many kilowatt-hours (Kw-hrs) of energy are used by the oven.

Energy used by the oven =4 * 5=20 Kw-hrs

Therefore, 20 kilowatt-hours (kw-hrs) of energy are used by the oven.

The golden state warriors are playing the cleveland cavaliers on thursday june 1, 2017 in game 1 of the nba championship series. suppose that golden state has a 58% chance of winning the game. nba games cannot end in a tie.

Answers

Answer:

Yeah so then the cavaliers have a 42 percent

Step-by-step explanation:


Answer:

cavaliers have a 42 percent

Step-by-step explanation: