All categories

3 years ago

During a sale, a dress is marked down from a selling price of $60 to a sale price of $57. What is the percent markdown?

Mathematics

1 answer:

marysya [2.9K]3 years ago

5 0

Answer: 05%

Step-by-step explanation:

60-57=3

3/60=0.05

0.05x100=5

You might be interested in

A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.01 = 0.99$ , so Z = 2.327.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

2 years ago

at video shack movie rentals cost $3.99 each. the cost of renting three movies and one video game is $.11 less than the cost of

damaskus [11]

$x-\ cost\ of\ renting\ video\ game\\
y-\ cost\ of\ tenting\ movie\\\\
3y+1x+11=5x\\
y=3,99\\\\
3*3,99+x+11=5x\\
11,97+x+11=5x\ \ \ | subtract\ x\\
22,97=4x\ \ \ | divide\ by\ 4\\
x=5,7425\$\\\\
For\ renting\ video\ game\ you\ will\ pay\ 5,7425\$.$

4 0

3 years ago

State whether the surface of the water in an aquarium is best modeled by a point, a line, a ray, or a plane.

77julia77 [94]

A line would be best used to model the surface of an aquarium, by putting a line on top of the surface and checking if the water is level or not.

7 0

3 years ago

Simon pays $9 for 6 visits to swim at the community pool. He pays $18 for 12 visits to swim. How much does it cost for each visi

sergij07 [2.7K]

Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

8 0

2 years ago

Give the slope of y- 4 = 5(x - 2) and a point on the line.

ValentinkaMS [17]

Answer:

<h2>B. The slope is 5 and (2, 4) is on the line.</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation:

$y-4=5(x-2)$

Therefore

m = 5

(x₁, y₁) = (2, 4)

5 0

3 years ago