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Musya8 [376]
2 years ago
9

A toy that originally sold for 12 dollars went of sale for 8 dollars what was the percent discount? Remember to show your work!

Mathematics
1 answer:
harkovskaia [24]2 years ago
3 0
12———-100%
8 ———— x
X=(8*100)/12=800/12=66.66%
Then discount percent is 100-66.66=33.33%
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PLEASE HELP!!!!
kompoz [17]

Answer:  c) 2x² - 2x + 4

Step-by-step explanation:

3 0
3 years ago
3. The adult men of the Dinaric Alps have the highest average height of all regions. The
ahrayia [7]

Using the normal distribution, it is found that:

  • 3 - a) The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.
  • 3 - b) The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.
  • 4 - a) The 25th percentile for the math scores was of 71.6 inches.
  • 4 - b) The 75th percentile for the math scores was of 78.4 inches.

<h3>Normal Probability Distribution </h3>

In a <em>normal distribution </em>with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

Question 3:

  • The mean is of 73 inches, hence \mu = 73.
  • The standard deviation is of 3 inches, hence \sigma = 3.

Item a:

The 40th percentile is X when Z has a p-value of 0.4, so <u>X when Z = -0.253</u>.

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

-0.253 = \frac{X - 73}{3}

X - 73 = -0.253(3)

X = 72.2

The 40th percentile of the height of Dinaric Alps distribution for men is of 72.2 inches.

Item b:

The minimum height is the 100 - 10 = 90th percentile is X when Z has a p-value of 0.9, so <u>X when Z = 1.28</u>.

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

1.28 = \frac{X - 73}{3}

X - 73 = 1.28(3)

X = 76.84

The minimum height of man in the Dinaric Alps that would place  him in the top 10% of all heights is of 76.84 inches.

Question 4:

  • The mean score is of 75, hence \mu = 75.
  • The standard deviation is of 5, hence \sigma = 5.

Item a:

The 25th percentile is X when Z has a p-value of 0.25, so <u>X when Z = -0.675</u>.

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

-0.675 = \frac{X - 75}{5}

X - 75 = -0.675(5)

X = 71.6

The 25th percentile for the math scores was of 71.6 inches.

Item b:

The 75th percentile is X when Z has a p-value of 0.25, so <u>X when Z = 0.675</u>.

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

0.675 = \frac{X - 75}{5}

X - 75 = 0.675(5)

X = 78.4

The 75th percentile for the math scores was of 78.4 inches.

To learn more about the normal distribution, you can take a look at brainly.com/question/24663213

5 0
2 years ago
Pls just type it in no files pls and thank you
Nana76 [90]

Answer:

31

Step-by-step explanation:

First type of clay required 3 cups of flour per batch

She made 5 batches

5 * 3 = 15

So she used 15 cups of flour for the first type of clay

Second kind of clay required 4 cups of flour per batches

She made 4 batches

4 * 4 = 16

So she used 16 cups of flour for the second type of clay

we now add the total number of cups of flour used for each type of clay

16 + 15 = 31

She used a total of 31 cups of flour

5 0
3 years ago
What's the scale factor from AABC to ADEF?<br><br> A) 4/3<br> B) 3/4<br> C) 2/5<br> D) 5/2
guajiro [1.7K]

Answer:

D) 5/2

Step-by-step explanation:

Scale factor = AB/DE = 35/14 = 5/2

6 0
3 years ago
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Can someone explain how to factor a number like in the picture I attached? Thank you!
xenn [34]

hey man im sorry i just need points because im strugling

Step-by-step explanation:

5 0
2 years ago
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