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Kobotan [32]
4 years ago
10

A pair of shoes usually sells for $64. If the shoes are 30% off, and the sales tax is 5%, what is the total price of the shoes,

including tax?
Mathematics
1 answer:
Paul [167]4 years ago
7 0

Answer:

The total price of the shoes = $47.04

Step-by-step explanation:

100% = $64

70% = cost on sale

64 x 0.7 = $44.80

100% = $44.80

105% = $44.80 + sales tax

44.8 x 1.05 = $47.04

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Write the equation you would use to find x, then solve for x.
goldfiish [28.3K]

Answer:

x + 6x+10   + x+2 = 180

x = 21

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x + 6x+10   + x+2 = 180

Combine like terms

8x + 12 = 180

Subtract 12 from each side

8x+12-12 = 180-12

8x =168

Divide each side by 8

8x/8 = 168/8

x =21

6 0
3 years ago
Read 2 more answers
What does x equal in :<br> 19=15x+14
umka21 [38]
19=15x+14\ \ \ \ \ \ \ \ |subtract\ 14\\\\19-14=15x\\\\15x=5\ \ \ \ \ \ \ \ \ |:15\\\\x=\frac{5}{15}=\frac{1}{3}
6 0
3 years ago
Read 2 more answers
The Cougar volleyball team won 3/4 of their games this year and 2/3 of their games last year. They play 24 games each year. How
Anit [1.1K]

Answer:

2 games

Step-by-step explanation:

First, find how many that won this year by multiplying 24 by 3/4

24(3/4)

= 18

Find how many they won last year by multiplying 24 by 2/3

24(2/3)

= 16

Find the difference:

18 - 16

= 2

So, they won 2 more games this year than last year

5 0
3 years ago
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An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cu
Sholpan [36]

Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

<h3>What are the hypothesis?</h3>
  • At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_0: p \leq 0.5

  • At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

H_1: p > 0.5

<h3>Test statistic</h3>

The <em>test statistic</em> is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are:

n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5

The value of the <em>test statistic</em> is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}

z = 3.75

Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is z^{\ast} = 1.645.

Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

To learn more about the z-distribution, you can take a look at brainly.com/question/16313918

3 0
2 years ago
Find the sum of (x + 5) and (2x + 3) HELP ME PLEASE
disa [49]
You can open the brackets because it is addition
x+5+2x+3
after rearranging
x+2x+5+3
=3x+8
6 0
3 years ago
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