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Leviafan [203]
3 years ago
12

Tony has a jar that contains 16 red, 8 blue, 7 black, and 1 yellow marble. What is the theoretical probability of selecting a bl

ue marble?
Mathematics
1 answer:
suter [353]3 years ago
6 0

Answer:

\frac{1}{4}

Step-by-step explanation:

Number of blue marbles = 8

Total number of marbles = 16+8+7+1=32

probability\: of \:selecting\: a\: blue\; marble\\=\frac{Number\: of\:blue\: marbles}{Total\: number\: of\: marbles} \\\\=\frac{8}{32} \\\\=\frac{1}{4}

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Which of the following ordered pairs is a solution of the line y-2x=6
Novay_Z [31]

<u><em>Answer:</em></u>

<u><em>x = -3 + Y/2</em></u>

<u><em>y= 6 +  2x</em></u>

<u><em>Hope this helps!:3</em></u>

7 0
3 years ago
I don’t get this one please HELPPP MEE
iren2701 [21]

Answer:

135

Step-by-step explanation:

The given expression is

\frac{2 {x}^{2} }{x} +x(100 - 15x)

From the question, x=5

So,by substitution,we obtain

=\frac{2({5}^{2})}{5} +5(100 - 15(5))

=\frac{2(25)}{5} +5(100 - 75))

=2(5)+5(25)

= 10+125

= 135

Hence the answer is 135

8 0
3 years ago
Please Help ASAP!!!<br> Question in image below.
umka21 [38]

Answer:

17, they are both equal to eachother

4 0
3 years ago
Read 2 more answers
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than
Tpy6a [65]

Answer:

1

The correct option is  b

2

The correct option is  h

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 15

   The difference in population proportion is d = 6

Generally the sample mean of the input temperature is  

     \= 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 of the output temperature is  

     \= 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 of the sample 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 is mathematically represented as

     s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }

=>  s_d  =  \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots +  ([60.4 -  67.3]- 6.6)^2 }{15} }

=>  s_d  = 1.732 [/texGenerally the test statistics is mathematically represented as       [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }

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

=>   t  =  1.3417

Generally the degree of freedom is mathematically represented as

    df =  n -  1

=>  df =  15 -  1

=>  df =  14

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  df =  14 is  

      P(t >1.3417 )  =  0.10052569

Generally the p-value is mathematically represented as

      p-value  =  2 *  P(t >  1.3417)

=>    p-value  =  2 *   0.10052569

=>   p-value  =  0.201

From the values obtained we see that 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.

 

8 0
3 years ago
Whats the value of x in 3(x+6)=24
saul85 [17]

Answer:

x = 2

Step-by-step explanation:

Given

3(x + 6) = 24 ( divide both sides by 3 )

x + 6 = 8 ( subtract 6 from both sides )

x = 2

4 0
3 years ago
Read 2 more answers
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