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ANEK [815]
3 years ago
15

3. You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At t

he very last minute, you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the number of batteries you will need for the extended trip.
b. Solve the proportion for part (a).
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

I would say 15 batteries because you were gonna need five batteries but then you extend it to nine days.

Step-by-step explanation:

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A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon
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Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            H_o : p = 0.05

Versus

 

                          H_1 : p \ne 0.05

Use α = 0.05. Find the P-value for the test

   

Answer:

The  p-value is  p-value =  0.5949        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        \^ p = \frac{k}{n}

=>     \^ p = \frac{13}{300}

=>     \^ p = 0.0433

Generally the standard Error is mathematically represented as

       SE  = \sqrt{\frac{p(1- p)}{n} }

=>     SE  = \sqrt{\frac{0.05(1- 0.05)}{300} }

=>     SE  = 0.0126

Generally the test statistics is mathematically represented as

       z =  \frac{\^ p - p }{SE}

=>     z =  \frac{0.0433 - 0.05 }{0.0126}

=>     z =  -0.5317

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         (P < -0.5317 ) = 0.29747

Generally the p-value is mathematically represented as

       p-value =  2 * P(Z <  -0.5317 )

=>     p-value =  2 * 0.29747

=>     p-value =  0.5949        

     

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1200$ invested at a rate of 3.5% compounded quarterly; 4 years
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Step-by-step explanation:

<em>1st year</em>:

(1200 x 3.5 x 1) ÷ 100 = $42

<em>2nd year:</em>

(1242 x 3.5 x 1) ÷ 100= $43.47

<em>3rd year:</em>

(1285.47 x 3.5 x 1) ÷ 100= $44.99≈ $45

<em>4th year:</em>

(1330.47 x 3.5 x 1) ÷ 100= $46.56

Compound interest:

$(42 + 43.47 + 45 + 46.56)

=<u>$ 177.03</u>

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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