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antoniya [11.8K]
3 years ago
5

do you want to make a sodium carbonate solution with a concentration of 2.5%. You have 50 mL of a 1% solution about how many mil

liliters of a 6% solution should you add
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

9514 1404 393

Answer:

  21 3/7 mL ≈ 21.43 mL

Step-by-step explanation:

Let x represent the amount of 6% solution that should be added. The the total volume of sodium carbonate in the mix is ...

  1%(50) +6%(x) = 2.5%(50 +x)

  50 +6x = 125 +2.5x . . . . . multiply by 100, eliminate parentheses

  3.5x = 75 . . . . . . . . . . . . . subtract 2.5x+50

  x = 21 3/7 . . . . . . . . . . . . . divide by 3.5

21 3/7 mL, about 21.43 mL, of 6% solution should be added to make a 2.5% solution.

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US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average
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Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79

The 99% confidence interval for the population mean is (7661.21, 7918.79).

8 0
3 years ago
Y = (x + 1)(x − 1)(x − 3)
alisha [4.7K]

Answer:

\huge\colorbox{violet}{✏﹏ \: ᶛɲƧཡэʀ \: }

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Use the distributive property to multiply x² - 1 by x - 3.

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4 years ago
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4 0
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anzhelika [568]

Answer:

its 1!

Step-by-step explanation:

1 is greater than -3, and 2*1 (2) is greater than -1 :)

5 0
2 years ago
A circle has a diameter of 10 centimeters and a central angle eog that measures 210°. what is the area of the shaded sector? use
Nitella [24]
The area of sector is given by:
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5 0
3 years ago
Read 2 more answers
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