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Semenov [28]
3 years ago
5

Find the mean for each data set.

Mathematics
2 answers:
kondaur [170]3 years ago
8 0

Answer:

14

Step-by-step explanation:

first you add them all up and then divide alll of them again

Fittoniya [83]3 years ago
7 0

Answer:

14

Step-by-step explanation:

you add them all up and divide by how much there are

(10+11+12+13+14+15+16+17+18)=126

(126/9)=14

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What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Hi and have a good day :D
arsen [322]

Answer:

33.33%

Step-by-step explanation:

the syrup has a total of 15kg of ingredients, 5kg of it is sugar, so 15/5 which will end as 33.33%

8 0
3 years ago
Read 2 more answers
Camden is going to invest $600 and leave it in an account for 12 years. Assuming the
UkoKoshka [18]

~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$920\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &12 \end{cases}

920=600e^{\frac{r}{100}\cdot 12}\implies \cfrac{920}{600}=e^{\frac{3r}{25}}\implies \cfrac{23}{15}=e^{\frac{3r}{25}}\implies \log_e\left( \cfrac{23}{15} \right)=\log_e\left( e^{\frac{3r}{25}} \right) \\\\\\ \ln\left( \cfrac{23}{15} \right)=\cfrac{3r}{25}\implies 25\cdot \ln\left( \cfrac{23}{15} \right)=3r\implies \cfrac{25\cdot \ln\left( \frac{23}{15} \right)}{3}=r \\\\\\ 3.5620\approx r\implies \stackrel{\%}{3.56}\approx r

7 0
3 years ago
1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
Musya8 [376]

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

                                                =  0.5 - 0.1587 = 0.3413

It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

8 0
3 years ago
Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th
Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

area = 2*\pi*r^2 + 2*\pi*r*h

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}

The surface area of the drum is 3317.5218 square inches.

4 0
3 years ago
(10+-7 - -2) / (-2 - -1)
Scrat [10]

Nice use of brackets. We know exactly what you mean.

(10 - 7 + 2) / (-2 + 1) Notice that with an even number of - signs, you get a plus and with and odd number you get a minus.

(5) / (-1) = - 5 answer

Edit

Numerator

10 does not change.

+ - 7 Here a plus and a minus are put together. There is 1 minus sign which is an odd number of minus signs so the 7 is minus

- - 2 Here there are 2 minus signs. They become plus because 2 is even, and an even number of minuses become a plus so you have +2

10 - 7 + 2 = 5

Denominator

-2 does not change. It remains minus 2.

- - 1 There are 2 minus signs so this becomes plus 1.

- 2 + 1 = - 1

Numerator over denominator = 5/-1 = - 5. I'll probably run out of editing time. If you still don't understand, try and pinpoint the problem and we'll keep trying until you do see it. This question is worth it.

4 0
3 years ago
Read 2 more answers
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