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Rasek [7]
2 years ago
7

Malcolm bought dog-food bowls to give away as prizes at a dog-lovers event. The plastic bowls cost 6 dollars each and the stainl

ess steel bowls cost 10.50 each. Malcolm bought 7 plastic bowls and spent a total of 136.50 dollars on prizes. How many stainless steel bowls did malcom buy?
Mathematics
1 answer:
coldgirl [10]2 years ago
8 0
Answer
9 stainless steel bowls

Solution
-------------------------------------------------------------------------------------------------------
What we know: 

<span>Malcolm bought 7 plastic bowls and spent a total of 136.50 dollars on prizes
------------------------------------------</span>-------------------------------------------------------------<span>
We would subtract: 
136.50 - 42 = 94.5 
</span>-------------------------------------------------------------------------------------------------------<span>
After determining the price of the stainless steel bowls, we would then divide: 
</span>94.5 \div 10.50 = 9
-------------------------------------------------------------------------------------------------------
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Step-by-step explanation:

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*Please Help- 35 points*<br> Determine which polynomial is a perfect square trinomial.
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Answer:

d or 4x²-12x-9

Step-by-step explanation:

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3 years ago
Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

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Grade B: 55% to 85%

Grade C: 19% to 55%

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So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

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Answer:

the length is 40m

Step-by-step explanation:

6 0
2 years ago
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