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nata0808 [166]
2 years ago
12

In preparing a certain ointment, a pharmacist used 28.35 g of zinc oxide instead of the 31.1 g called for. Calculate the percent

age of error on the basis of the desired quantity.
Mathematics
1 answer:
Vilka [71]2 years ago
5 0

Answer: 9.70%

Step-by-step explanation:

The formula to find the percentage error is given by :-

\%\text{ error}=\dfrac{|\text{Estimate-Actual}|}{\text{Actual}}\times100

Given : Actual mass of zinc oxide used by pharmacist = 28.35 g

Estimated mass of zinc oxide used by pharmacist =31.1 g

Now, \%\text{ error}=\dfrac{|31.1-28.35|}{28.35}\times100

i.e. \%\text{ error}=\dfrac{2.75}{28.35}\times100

i.e. \%\text{ error}=9.70017636684\approx9.70\%

Hence, the  percentage of error on the basis of the desired quantity.= 9.70%

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According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p
Feliz [49]

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .

4 0
2 years ago
Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in deman
Anon25 [30]

Answer:

Which is a reason that organic farming is more expensive than conventional farming?

Organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

Rotating crops can help build healthy soil.

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
What is the binomial expansion of (x + 2)4? x4 + 4x3 + 6x2 + 4x + 1 8x3 + 24x2 + 32x x4 + 8x3 + 24x2 + 32x + 16 2x4 + 8x3 + 12x2
Margaret [11]

<u>Answer-</u>

\boxed{\boxed{(x+2)^4=x^4+8x^3+24x^2+32x+16}}

<u>Solution-</u>

Given expression is (x+2)^4

Applying Binomial Theorem

\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i

Here,

a = x, b = 2 and n = 4

So,

\left(x+2\right)^4=\sum _{i=0}^4\binom{4}{i}x^{\left(4-i\right)}\cdot \:2^i

Expanding the summation

=\dfrac{4!}{0!\left(4-0\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(4-1\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(4-2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(4-3\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(4-4\right)!}x^0\cdot \:2^4

=\dfrac{4!}{0!\left(4\right)!}x^4\cdot \:2^0+\dfrac{4!}{1!\left(3\right)!}x^3\cdot \:2^1+\dfrac{4!}{2!\left(2\right)!}x^2\cdot \:2^2+\dfrac{4!}{3!\left(1\right)!}x^1\cdot \:2^3+\dfrac{4!}{4!\left(0\right)!}x^0\cdot \:2^4

=1\cdot x^4\cdot \:1+4\cdot x^3\cdot \:2+6x^2\cdot \:4+4\cdot x\cdot \:8+1\cdot 1\cdot \:16

=x^4+8x^3+24x^2+32x+16

4 0
2 years ago
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Sam purchased a new car for $17,930. The value of the car depreciated by 19% per year. When he trades the car in after x years,
In-s [12.5K]
What you must do in this case is to use the potential type function given in the problem:
 a (b) ^ x = c
 We have:
 new car for $ 17,930
 a = 17930
 The value of the car depreciated by 19% per year
 b = 1-0.19 = 0.81
 the car is worth no more than $ 1,900
 c = 1900
 the exponential inequality is:
 a (b) ^ x ≤ c
 17930 (0.81) ^ x ≤ 1900
 Answer:
 the exponential inequality is:
 17930 (0.81) ^ x ≤ 1900
 where
 x: number of years
5 0
2 years ago
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