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aniked [119]
4 years ago
13

Gelisa sets a goal of running between 32 and 35 miles this week. she ran 4 1/2 each morning, monday through friday. how many mil

es could gelisa run this weekend and stay within the limits of her goal?
a-9 miles
b-11 miles
c-13 miles
d- 15 miles
Mathematics
1 answer:
9966 [12]4 years ago
5 0
B- 11 miles
4.5 • 5 = 22.5
32- 22.5 = 9.5, a is not enough
35- 22.5 = 12.5, c & d are too high
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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        

     

3 0
3 years ago
Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk
Mrrafil [7]

Answer:

The 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

= \frac{6}{100}

= 0.06

3% is written in the decimal form

= \frac{3}{100}

= 0.03

5% is written in the decimal form

= \frac{5}{100}

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x  - 0.03x = 1.5 - 0.9

0.03x  = 0.6

x = \frac{0.6}{0.03}

x = 20 quarts for 6% butterfat milk  .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk  .

Than 20  quarts are used for 6% butterfat milk and 10 quarts are used for  3% butterfat milk .




5 0
4 years ago
Which value for x makes the sentence true?
marshall27 [118]

43/76

This is the answer

3 0
3 years ago
Read 2 more answers
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