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Mekhanik [1.2K]
3 years ago
13

alana found a sofa she wants to buy for her new apartment.the sofa cost $950.00 plus tax if Alana paid $999.40 for the sofa, wha

t percent sales tax did she pay??
Mathematics
1 answer:
Yuliya22 [10]3 years ago
4 0

Answer:

5.2%

Step-by-step explanation:

((999.4 × 100) ÷ 950) - 100

(99,940 ÷ 950) - 100

105.2 - 100

5.2

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the answer is 153.86 ft squared

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2 years ago
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The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. What is the larg
svlad2 [7]
The answer is b because 2S + L is equal to L + 2S.
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Kyle has created a video game called Falling Stars in which the player zaps stars from the sky. A certain number of stars must b
Tcecarenko [31]

Answer:the answer is D)  5(30 - 5) + 40; 165 stars

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5(30 - 5) + 40

5(25) + 40

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4 years ago
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According to a Gallup poll of 1012 people, about one-third of (32%) of Americans keep a dog for protection. Find the:Margin of E
WINSTONCH [101]
  • The margin of error of the proportion given is of 2.9%.
  • Applying the margin of error, the confidence interval is (29.1%, 34.9%).

-----------------------

The margin of error of a confidence interval of a proportion \pi in a sample of size n, with a confidence level of 1-\alpha, is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The confidence interval is:

\pi \pm M

In this problem:

  • Poll of 1012 people, thus n = 1012.
  • 32% keep a dog, thus \pi = 0.32

95% confidence level

Thus \alpha = 0.05, z is the z-score that has a p-value of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.  

The margin of error is:

M = 1.96\sqrt{\frac{0.32(0.68)}{1012}} = 0.029

As a percent, 2.9%, as 0.029 x 100% = 2.9%.

Now for the confidence interval, which is <u>percentage plus/minus margin of error</u>, thus:

32 - 2.9 = 29.1

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The confidence interval is (29.1%, 34.9%).

A similar problem is given at brainly.com/question/16807970

4 0
3 years ago
Joe has 37 coins consisting of nickels, dimes, and quarters. There are four more nickels than dimes and two more quarters than n
astraxan [27]

Answer:

  15

Step-by-step explanation:

Let n, d, q represent the numbers of nickels, dimes, and quarters. The problem statement tells us ...

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___

Rearranging the second equation gives ...

  d = n -4

Substituting that into the first, we get ...

  n + (n -4) +q = 37

  2n +q = 41 . . . . . . . add 4 and simplify

Rearranging the third original equation gives ...

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Substituting into the equation we just made, we get ...

  2(q -2) +q = 41

  3q = 45 . . . . . . . . add 4 and simplify

  q = 15 . . . . . . . . . divide by 3

Joe has 15 quarters.

_____

<em>Check</em>

The number of nickels is 2 fewer, so is 13. The number of dimes is 4 fewer than that, so is 9. The total number of coins is 15 + 13 + 9 = 37, as required.

5 0
3 years ago
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