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Cloud [144]
3 years ago
9

Select the correct way to write this fraction as a decimal number. 35/100

Mathematics
1 answer:
grigory [225]3 years ago
5 0
The answer is 0.35. Well i figured that out by writing 35/100 as a percent which is 35
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
BartSMP [9]

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is \mu =  5.6  \ pounds/inch^2

     The  sample size is  n =  160

      The sample mean is  \=  x =  5.7  \  pounds/ inch^2

     The variance is \sigma ^2 =  0.25

       The level of significance is  \alpha   =  0.01

The null hypothesis is  H_o  :  \mu  =  5.6

The alternative hypothesis is H_a :  \mu > 5.6

Generally the standard deviation is mathematically represented as

           \sigma =  \sqrt{\sigma ^2 }

=>         \sigma =  \sqrt{0.25  }  

=>         \sigma =  0.5  

Generally the test statistics is mathematically represented as

        z =  \frac{\= x  - \mu }{ \frac{\sigma}{\sqrt{n}  } }

=>     z =  \frac{5.7  - 5.6  }{ \frac{0.5 }{\sqrt{ 160 }  } }  

=>     z =  2.53

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        p-value =  P(Z >  2.53 ) =0.0057

From the value obtained we see that the p-value  < \alpha hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

 

5 0
3 years ago
What is the domain of the function y = l n (StartFraction negative x 3 Over 2 EndFraction).
Ymorist [56]

The domain of the provide function where the function is defined is x less than the number three.

<h3>What is the domain of the function?</h3>

Domain of a function is the set of all the possible input values which are valid for that function.

The function given in the problem is,

y=\ln\left(\dfrac{-x+3}{1}\right)

The above function is the function of logarithm. For the logarithmic function, it is defined for all the real numbers except 0.

Thus, the function should be greater than zero as,

\left(\dfrac{-x+3}{1}\right) > 0\\(-x+3) > 0\\-x > -3

Change the sign of both side, by changing the inequality,

x < 3

Thus, the domain of the provide function where the function is defined is x less than the number three.

Learn more about the domain of the function here;

brainly.com/question/2264373

3 0
2 years ago
What is the value of x when 3x &lt; -2x + 15
Solnce55 [7]

Answer:

−

3 x = 15  Divide each term in  − 3 x = 15  by - 3 . − 3 x − 3 +15 =− 3 Cancel the common factor of  − 3 . Cancel the common factor. − 3 x − 3 = 15 − 3 Divide  x by  1 . x = 15 − 3 by  − 3 . x = − 5

8 0
3 years ago
Read 2 more answers
A store sells a small bucket that holds 6 liters of water. They also sell a large bucket that holds 2 times as much water as the
ValentinkaMS [17]

Answer: 12

Step-by-step explanation:6*2

7 0
3 years ago
Graph y = - 3x + 7 .
lbvjy [14]

Answer:

put your first point at 7 in y axis that point go down 3 to the rights side 1 and your point should be at (1,4) then connect the dots and that's how you graph it

Step-by-step explanation:

5 0
2 years ago
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