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ratelena [41]
3 years ago
14

The average ice skate size of customers at an ice rink with 200 patrons is 9.5. Assume the data is normally distributed. If the

standard deviation of this data is 0.5, how many patrons have a skate size of 10.5 or larger?
Mathematics
1 answer:
maksim [4K]3 years ago
3 0
Only about 2.28% of the skates will be size 10.5 or larger.

To answer this question, we need to find the z-score of the shoe size and look that up on a normal distribution table.

(10.5 - 9.5) / 0.5 = 2

Using the table, only about 2.28% of the values are larger than a z-score of 2.
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6,000 dollars is invested in two different accounts earning 3% and 5% interest. At the end of one year, the two accounts earned
kap26 [50]

Answer:

$2000

Step-by-step explanation:

6,000 dollars is invested in two different accounts earning 3% and 5% interest.

Let x be the amount invested in account earning 3% interest

So, 6000-x is the amount invested in account earning 5% interest

S.I. =\frac{P\times R\times T}{100}

So, Simple interest for account earning 3% interest

S.I. =\frac{x \times 3 \times 1}{100}

S.I. =0.03x

Simple interest for account earning 5% interest

S.I. =\frac{(6000-x) \times 5 \times 1}{100}

S.I. =0.05(6000-x)

S.I. =300-0.05x

Since we are given that the two accounts earned $220 in interest

So, 0.03x+300-0.05x=220

−0.02x+300=220

80=0.02x

\frac{80}{0.02}=x

4000=x

So, 4000 was invested at 3%

(6000-x)=6000-4000=2000 was invested at 5%

Hence 2000 was invested at 5%

8 0
3 years ago
Productive use of machinery on a farm made it possible to decrease the number of tractors by 12 how many tractors does the farm
irina1246 [14]
So first off, the answer to this is 24 now think of x as the  real or original sum or amount, also y as the new sum or amount.
y * 1.5 is x, and y+12 is x. Now flip that to figure out what is y, also which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to minus 12, which can help you get the answer which is 24.
5 0
3 years ago
Please help me with number 8
lina2011 [118]
Producer,The producer is the one who manages everything in the big picture.

6 0
2 years ago
Read 2 more answers
How do the values compare? Order the values from least to greatest
malfutka [58]
-2 1/4, -1 1/4, 3/4, |-1 1/4|, |-1 3/4|, |-2 1/4
hope it helps
8 0
2 years ago
Answer number 1 please.​
Minchanka [31]

\sf {a}^{2}  =  {13}^{2}  -  {5}^{2}

Formula :

Base²= Hypotenuse² - Perpendicular ²

\\  \\

\hookrightarrow\sf {a}^{2}  =  {13}^{2}  -  {5}^{2}

\\  \\

\hookrightarrow\sf {a}^{2}  =169 - 25

\\  \\

\hookrightarrow\sf {a}^{2}  =144

\\  \\

\hookrightarrow\sf {a} = \sqrt{144}

\\  \\

\hookrightarrow\sf {a} = \sqrt{12 \times 12}

\\  \\

\hookrightarrow\sf {a} = 12

Remember the a² in formula has nothing to do with the a we have to find. :)

6 0
2 years ago
Read 2 more answers
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