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Dennis_Churaev [7]
3 years ago
5

Rita wants to buy a sweater that was originally priced at $25.00. Today the sweater is on sale for 40% off the original price.Th

an Rita has a coupon for an additional 10% off the sale price.How much will he pay for the sweatshirt before taxes
Mathematics
1 answer:
zmey [24]3 years ago
5 0

Answer: $13.50

Step-by-step explanation:

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Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are
viktelen [127]

Using the normal distribution, it is found that due to the greater z-score, Stewart caught the longer fish relative to the same specie.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

To find who caught the longer fish relative to the same specie, we need to find out who had the higher z-score.

Stewart caught a bluefish with a length of 322 mm, hence the parameters are as follows:

X = 322, \mu = 267, \sigma = 39

The z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{322 - 267}{39}

Z = 1.41

Gina caught a pompano with a length of 176 mm, hence the parameters are as follows:

X = 176, \mu = 155, \sigma = 28

The z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{176 - 155}{28}

Z = 0.75.

Hence Stewart caught the longer fish relative to the same specie.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

8 0
2 years ago
I don’t know how to do this
AysviL [449]
You need to add the problem you need help with....
5 0
3 years ago
Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).
pashok25 [27]
Answer is 39 ft square
A=h•b/2
A=13•6/2
A=78/2
A=39 ft square

I attached photo

5 0
3 years ago
Stephen uses
34kurt

Answer:

13.75 servings or 13 ¾ servings

Step-by-step explanation:

This is the correct question

Stephen uses 2/25 kilograms of tofu in each serving of his famous tofu dish. He has 1 1/10 kilograms of tofu.

To get answer  

We will have to divide the number of tofu required with the number of tofu own.  

Stephen uses 2/25 kilograms of tofu in each serving and he has 11/10 kilograms tofu.  

= (11/10) ÷ (2/25)  

= (11/10) ÷ (2/25)

   11/10 * 25/2 =

   275 ÷ 20= 13.75 servings or 13 ¾ servings

Stephen can make 13 ¾ or 13.75 servings

3 0
3 years ago
Read 2 more answers
A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 4x. The container must contain 12ft^3
zheka24 [161]

The height of the container should be equal to 2.57 cm, so as to minimize cost.

<h3>How to calculate the height?</h3>

First of all, we would determine the volume of the rectangular container by using this formula:

Volume = l × w × h

Where:

  • l represents the length.
  • w represents the width.
  • h represents the height.

Substituting the given parameters into the formula, we have;

Volume = x × 4x × h

Volume = 4x²h

At a volume of 12 ft³, we have:

12 = 4x²h

h = 12/4x²

h = 3/x²

For the total area of top and bottom, we have:

Area = (x × 4x) + (x × 4x)

Area = 4x² + 4x²

Area = 8x² sq. units.

Thus, the cost of top and bottom is given by:

Cost = 8x² × 1.50

Cost = $12x²

For the total area of all four sides, we have:

Area = (x × h) + (x × h) + (4x × h) + (4x × h)

Area = xh + xh + 4xh + 4xh

Area = 10xh sq. units.

Thus, the cost of all four sides is given by:

Cost = 10xh × 4.50

Cost = $45xh.

Also, the cost function would be given by:

C(x) = 12x² + 10xh

C(x) = 12x² + 10x(3/x²)

C(x) = 12x² + 30/x

Taking the first derivative, we have:

dC/dx = 24x - 30/x²

24x = 30/x²

24x³ = 30

x³ = 30/24

x = 1.08

Therefore, the height will be:

h = 3/x²

h = 3/1.08²

h = 3/1.1664

Height, h = 2.57 cm.

Read more on minimum height here: brainly.com/question/27308167

#SPJ1

5 0
2 years ago
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