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kodGreya [7K]
3 years ago
10

Only answer 28 ( I added this parentheses so that the thing would accept my question)

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

(a). Number of protons in a chlorine atom = 17

(b). Atomic number of sodium = 11

Step-by-step explanation:

Let the number of protons in a sodium atom = <em>x</em>

Then, the number of protons in a chlorine atom =<em> x</em> + 6

Now, it is given that the atomic number of an element is equal to the number of protons per atom.

So, atomic number of sodium (Na) = <em>x</em>

Atomic number of chlorine (Cl) = <em>x</em> + 6

It is given that the atomic number of chlorine is 5 less than twice the atomic number of sodium.

∴ atomic number of chlorine (Cl) = 2 × atomic number of sodium (Na) - 5

⇒ <em>x</em> + 6 = 2<em>x</em> - 5

⇒ <em>x </em>- 2<em>x</em> = -5 - 6

⇒ -<em>x</em> = -11

Cancelling the minus sign from both sides, we get

<em>x</em> = 11

(a). Number of protons in a chlorine atom = <em>x</em> + 6

                                                                     = 11 + 6      (∵ <em>x</em> = 11)

                                                                     = 17

(b). Atomic number of sodium = <em>x</em> = 11

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A) $29.68

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<u><em>DO NOT FORGET TO ADD THE TOTAL COST</em></u>

28.00 + (28.00 * .06) = 29.68

<u>Part B Explanation)</u>

This is asking only for the tip, not including the total cost. However, we need the total cost to calculate the tip.

28.00 * .20 = 5.6

<em>.20 out of 1 is 20%</em>

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2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
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Answer:

Step-by-step explanation:

Given that:

population mean = 10

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sample mean = 9.8 < x > 10.2

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z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

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z = \dfrac{9.8- 10}{0.1}

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z = -2

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p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
3 years ago
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