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alukav5142 [94]
3 years ago
15

Please answer asap What is the value of x in the equation 3(2x + 4) = −6?

Mathematics
1 answer:
nydimaria [60]3 years ago
5 0
First divide 3 both side
Than move 4 to another side
Than divide by 2
\frac{3(2x + 4)}{3}  =  \frac{ - 6}{3 }  \\ 2x + 4 =  - 2 \\ 2x =  - 2 - 4 \\ 2x =  - 6 \\ \frac{2x}{2}  =  \frac{ - 6}{2}  \\ x =  - 3
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Which one is true from the below:
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Statement 2 is correct
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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
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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
3 years ago
75 1. Enter a number equal to the value of the expression. (75 hundredths) + (4 x 100) + (67 ones) + (5 tens) 2. Rocky's rug is
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An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same
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General Idea:

The volume of cylinder is given by \pi r^{2} h, where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder =\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}

Volume of half cylinder =\frac{576\pi }{2} =288\pi cm^{3}

Step 2: Let x be the number of minutes of filling the sand.

6 cm^{3} of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute= 6*4 cm^{3} = 24 cm^{3}.

8 cm^{3} of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute=24 cm^{3} - 8cm^{3}=16cm^{3}

Volume of sand filled in x minutes = 16x.

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

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Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0
3 years ago
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Read 2 more answers
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