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Katarina [22]
3 years ago
12

6x– 9y = 3 x-9y = -22

Mathematics
1 answer:
Tomtit [17]3 years ago
3 0

Answer:

Step-by-step explanation:

6x-9y=3

+x-9y=-22

first you take x-9y=-22 *-1  which will equal -x+9y=22

then you add

6x-9y=3

+-x+9y=22

----------------

5x=25

÷5    ÷5=  x=5         then you plug  5 into each x spot

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A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than
aleksklad [387]

Answer:

 The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  13

    The sample mean is  \= x =  9.63

     The standard deviation is  s =  0.585

      The significance level is  \alpha  =  0.05

The Null Hypothesis is  H_o :  \mu = 0

The Alternative  Hypothesis  is  H_a =  \mu < 10

The test statistic is  mathematically represented as

          t =  \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }

Substituting values

          t =  \frac{9.63  - 10 }{\frac{0.585}{\sqrt{13} } }

         t =  -  2.280

Now the critical value for \alpha is  

     t_{\alpha } = 1.645

This obtained from the critical value table

  So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

 The conclusion is that the researcher was correct

 

 

6 0
4 years ago
If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0
tamaranim1 [39]

Answer:

x=12

Step-by-step explanation:

f(x)=16x-30 and g(x)=14x-6

(f-g)(x)=0

f(x)=16x-30 -(14x-6)

Distribute

     = 16x -30 -14x +6

Combine like terms

     = 16x-14x -30+6

         2x-24

Set this equal to zero

2x-24 =0

Add 24 to each side

2x-24 +24=0+24

2x=24

Divide by 2

2x/2 =24/2

x = 12

5 0
3 years ago
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mojhsa [17]

Answer:

f(x)= (-4)/(5-X)

Step-by-step explanation:

8 0
3 years ago
Which correlation coefficient represents a moderate negative correlation? a.r = –0.04 b. r = –0.24 c.r = –0.64d. r = –0.94
jonny [76]

Answer: r = -0.64


Step-by-step explanation:

The correlation coefficient is a measure of the strength of the linear relationship between two variables and is denoted by r. Values between 0.3 and 0.7 indicate a moderate positive (negative) linear relationship .

Values between -0.3 and -0.7 indicate a moderate negative linear relationship .

The only value of r in the option is r= -0.64 lies in given interval of moderate negative linear relationship .

Therefore, c is the right answer.

5 0
3 years ago
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3 years ago
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