Answer:
25 milliliters
Step-by-step explanation:
Given:
volume of sample = 100 ml
Syrup present in sample = 6.55 g per 20 mL
Therefore in 100 mL, amount of syrup present =
or
amount of syrup present in 100 mL sample = 32.75 grams
Now,
Specific gravity of the syrup = 1.31
also,
Specific gravity of the syrup =
or
1.31 =
or
Density of syrup = 1.31 g/mL
also,
Density =
therefore,
1.31 =
or
Volume of syrup in the sample =
or
Volume of syrup in the sample = 25 milliliters
Answer:
-2.167
Step-by-step explanation:
6X = 2-15
6X = -13
X= -13 / 6
Answer:
The sample size to obtain the desired margin of error is 160.
Step-by-step explanation:
The Margin of Error is given as

Rearranging this equation in terms of n gives
![n=\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2](https://tex.z-dn.net/?f=n%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2)
Now the Margin of Error is reduced by 2 so the new M_2 is given as M/2 so the value of n_2 is calculated as
![n_2=\left[z_{crit}\times \dfrac{\sigma}{M_2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{\sigma}{M/2}\right]^2\\n_2=\left[z_{crit}\times \dfrac{2\sigma}{M}\right]^2\\n_2=2^2\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4\left[z_{crit}\times \dfrac{\sigma}{M}\right]^2\\n_2=4n](https://tex.z-dn.net/?f=n_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM_2%7D%5Cright%5D%5E2%5C%5Cn_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%2F2%7D%5Cright%5D%5E2%5C%5Cn_2%3D%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B2%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D2%5E2%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D4%5Cleft%5Bz_%7Bcrit%7D%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7BM%7D%5Cright%5D%5E2%5C%5Cn_2%3D4n)
As n is given as 40 so the new sample size is given as

So the sample size to obtain the desired margin of error is 160.
Part A:
23 + 13x ≤ 81
Part B:
23 + 13x ≤ 81
<u>-23 </u> <u>-23</u>
13x ≤ 58
<u>/13 </u> <u>/13</u>
x ≤ 4.46
Part C:
This means that you can have 4 cheeseburgers while keeping the fat under 81 grams.
The value of y will be equal to 4.61.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
The value of y will be calculated by using the Pythagorean theorem:-
a² + a² = (9√2)²
a = 9
Applying angle property in the triangle:-

9tan26 = MK
LM = 9 - 9tan26
LM = 9 - 4.38
LM = 4.62
Therefore the value of y will be equal to 4.61.
To know more about Trigonometry follow
brainly.com/question/24349828
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