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kap26 [50]
3 years ago
5

Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has 5 completed bracelets. C

reate a system of equations to determine when Rachel will have the same number of bracelets as Oliver. Use complete sentences.
Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

After 5 hours

Step-by-step explanation:

Given that Rachel can make 3 bracelets in an hour.

Let y be the no of bracelets and x no of hours.

Then equation for Rachael would be y = 3x   ...  i

Oliver is having initially 5 completed bracelets and every hour he would make 2 new bracelets

Hence equation would be

y = 2x+5  ... ii

Our question is why both will be equal

y would be equal in both if 3x=2x+5

Or x=5

After 5 hours form the start, both will have same number of bracelets.

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The margin of error of the random selection is 0.20

The given parameters are:

n = 420 --- the sample size

\sigma = 1.6 --- the standard deviation

\bar x = 10 --- the mean

\alpha = 99\% --- the confidence level.

The margin of error (E) is calculated as follows:

E = z \times \sqrt{\frac{\sigma^2}{n}}

So, we have:

E = z \times \sqrt{\frac{1.6^2}{420}}

E = z \times \sqrt{\frac{2.56}{420}}

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

E = 2.576 \times \sqrt{\frac{2.56}{420}}

E = 2.576 \times \sqrt{0.006095}

Take square roots

E = 2.576 \times 0.0781

Multiply

E = 0.2012

Approximate

E = 0.20

Hence, the margin of error is 0.20

Read more about margin of error at:

brainly.com/question/14396648

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Solve the equation for x and  find the restrictions on the variable. Ax + bx = c​
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  3. Exponents
  4. Multiplication
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Step-by-step explanation:

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<u>Step 1: Solve for </u><em><u>x</u></em>

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