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Gekata [30.6K]
3 years ago
14

Christine bought 4 CDs that were each the same price. Including sales tax, she paid a total of $54.40. Each CD had a tax of $1.3

0. What was the price of each
CD before tax?
Mathematics
1 answer:
Basile [38]3 years ago
7 0

Answer:

12.30

Step-by-step explanation:

1.30x4=5.20

54.40-5.20=49.20

49.20/4= 12.30

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One of the same side angles of two parallel lines is 20° smaller than the other one. Find all angles.
Elden [556K]

Answer: 80 and 100


Step-by-step explanation:

180/2=90

90+10=100

90-10=80

8 0
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Choose the definition for the function.<br> (Picture)
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Answer : A

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There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f
Ann [662]

Answer:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

The estimated population proportion for this case is:

\hat p = \frac{350}{500}=0.7

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647

0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0
3 years ago
A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete
zvonat [6]

Answer:

The real perimeter is:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

P = 4x = 4*6 mm =24 mm

The area for this case is given by:

A = x^2 = 6mm^2 = 36 mm^2

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

6 0
3 years ago
What is the GCF of 28 and 72? Please explain if you can.
Minchanka [31]
72=1,72,2,36,3,24,4,18,6,12,8,9 28=1,28,2,14,4,7 So,the answer is 4
5 0
3 years ago
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