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Andrej [43]
4 years ago
10

One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of t

rail mix. He makes a graph to be sure the mixture will be correct. On a coordinate plane, the point (3, 0.75) is plotted. How can he use the graph to find an equivalent ratio?
Mathematics
1 answer:
Alika [10]4 years ago
7 0

Answer:

Im pretty sure its C

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Paired t-test Application (Part 1)An environmental engineer is tasked with determining whether a power plant cooling system is h
qaws [65]

Complete Question

The complete question is shown on the first and second  uploaded image

Answer:

Part 1

 The correct option is  B

Part 11

   The correct option is  H

Step-by-step explanation:

From the question we are told that

     The sample size is  n  =  15

Generally the sample mean for the input temperature is mathematically represented as

        \= x _1 =  \frac{\sum x_i}{n}

        \= x _1 =  \frac{57.6 + 68.9 \cdots +60.4 }{15}

      \= x _1 =  62.57

Generally the sample mean for the output temperature is mathematically represented as

        \= x _2 =  \frac{\sum x_i}{n}

        \= x _2 =  \frac{65.1 + 74.4 \cdots +67.3 }{15}

      \= x _2 =  55.97

Generally the difference between the mean of the input temperature and that of the output temperature is

      d =  \= x_1 - \= x_2

=>    d =  62.57 - 55.97

=>    d = 6.6

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

     s_d  = \sqrt {\frac{1}{n-1 }  \sum [d_i - d]^2}

=>   s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2  }{15-1} }

=>   s_d = 1.732

The null hypothesis is  H_o  :  \mu_1 -\mu_2 =  6

The alternative hypothesis is  H_a :  \mu _1 - \mu_2\ne 6

Generally the test statistics is mathematically represented as

           t  =  \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }

          t  =  \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }

          t  =  1.342

Generally the p-value is mathematically represented as

    p-value  =  2 *  P(t > 1.342)

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of  df = n-1 =  15-1 = 14

       P(t >  1.342) =  t_{1.342 , 14} =  0.100478

So    

     p-value  =  2 *   0.100478)

     p-value  =  0.201

From the values obtained we see that the p-value >  \alpha hence the decision rule is  fail to reject the null hypothesis

The  conclusion is  

The cooling system changes the temperature of the water by 6 degrees.  

5 0
4 years ago
Which is greater 25% or 7/25
laila [671]

Answer:

7/25

Step-by-step explanation:

because its .28

8 0
3 years ago
What is the solution to the system of the equations?<br><br> x = y - 3<br><br> x + 3y = 13
Bumek [7]

Answer:

Solution (1, 4)

Step-by-step explanation:

x = y - 3

x + 3y = 13

Substitute x = y - 3  into x + 3y = 13

y - 3  + 3y = 13

4y - 3 = 3

4y =16

y = 4

Substitute y = 4 into x = y - 3

x = 4 - 3

x = 1

Solution (1, 4)

3 0
3 years ago
The diameter of a single human hair is .000025 meters. rewrite this number in scientific notation.
enyata [817]

Answer:

2.5 * 10^-5

Step-by-step explanation:

2.5 * 10^-5

If the number is between 1 and -1 excluding 0. Then

count the number of zeros

add 1 more

write the notation of where you put the decimal place

The power is minus and equal to the number of zeros + 1

0.000025

zeros: the number of zeros = 4

Add 1: 4 + 1 = 5

Decimal goes between the 2 and the 5

2.5

Power: = - 5

Answer: 2.5 * 10^-5

4 0
3 years ago
What is 1/4 plus 5/6 equal in the simplest form
jekas [21]
\frac{1}{4}+\frac{5}{6}=\ \ \ \ |Make\ a\ common\ denominator\\\\&#10;\frac{3}{12}+\frac{10}{12}=\ \ \ \ |Add\ nominators\\\\ \frac{13}{12}=1\frac{1}{12}\\\\Solution\ is\ 1\frac{1}{12}.
3 0
3 years ago
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