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baherus [9]
2 years ago
4

Joel buys a coffee mug for 10 dollars. Sales tax is 5%.How much does Joel actually have to pay?​

Mathematics
1 answer:
Zolol [24]2 years ago
7 0

Answer: \$11.5

Step-by-step explanation:

You need to analize the information given in the exercise.

You know that the cost of the coffee mug that Joel buys is:

cost\ coffee=\$10

And the Sales tax is the following:

Sales\ tax=15\%

You can make the conversion of the Sales tax from percentage to a decimal number by dividing it by 100. Then, this is:

Sales\ tax=\frac{15\%}{100}\\\\Sales\ tax=0.15

Then, you can write the following equation, where "x" represents the total amount of money (in dollars) that Joel actutally has to pay:

x=10+(0.15)(10)

Finally, you must evaluate in order to find the value of "x". You get that this is:

x=10+(0.15)(10)\\\\x=10+1.5\\\\x=11.5

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Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean
Zinaida [17]

Answer:

E[R] = 99 Ω

\sigma_R = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, E[R] = \frac{a+b}{2}  = \frac{95+103}{2} = \frac{198}{2} = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333

Hence,

The standard deviation of resistance, \sigma_R = \sqrt{V(R)} = \sqrt5.333 = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

z_1 = \frac{102-99}{2.3094} = 1.299

z_2 = \frac{98-99}{2.3094} = -0.433

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

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2 years ago
A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack
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Answer:D, “the number of calories...”

Step-by-step explanation:

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A radio station spends 1/40 of each 24 hours on public service announcements. How much time is spent on public service announcem
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Start by calling the time spend on announcements 'A'. We can then set up an equation to represent the problem:

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We could also convert this into minutes:

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Step-by-step explanation:

Given expression is:

(\sqrt{5x^3y^4})^{\frac{3}{7}

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

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The 1/7 will be converted into base of radical while 3 will be he exponent

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Multiplying exponents

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Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

  • brainly.com/question/4939434
  • brainly.com/question/4980053

#LearnwithBrainly

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Answer:

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So for example, you want to do a model of a house, and in the backyard of the house there are 4 trees, then in the model of the house you also need to put 4 trees in the backyard (indifferent of the scale of the model).

Then the number of boulders in the really fountain should be the same as the number of boulders in the scale model of the fountain.

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