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gavmur [86]
3 years ago
8

Bob's z-score for the last exam was 1.52 in Prof. Axolotl's class BIO 417, "Life Cycle of the Ornithorhynchus." Bob said, "Oh, g

ood, my score is in the top 10 percent." Assuming a normal distribution of scores, is Bob right?

Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

  yes

Step-by-step explanation:

The 90-th percentile of a normal distribution corresponds to a z-score of 1.282. Bob's z-score is above that, so he is definitely in the top 10%.

_____

If you haven't memorized the percentiles associated with the normal distribution, it is convenient to use a calculator or table of values.

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m_a_m_a [10]

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

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- 2y + 3y = 37 - 30

y = 7

x = 15 - y = 15 - 7

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7 0
3 years ago
Which 1 weighs about 6 ounces a toothbrush or a paper clip?
bogdanovich [222]
A toothbrush weighs that much. a paperclip weighs less then an ounce, about 0.049 oz.

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7 0
3 years ago
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Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.
AVprozaik [17]

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

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Therefore, in our case the perpendicular distance is  

\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

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3 years ago
5 yards 2 feet × 2=​
klio [65]

Answer:

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6 0
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solmaris [256]

Answer:

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Step-by-step explanation:

What you do is you subtract 1 3/8 from 54 3/4 which gives you Carl's height, which is 53 3/8.

Lastly, you subtract 1 1/5 from 53 3/8 which is 52 7/40.

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