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Alenkasestr [34]
3 years ago
6

PLEASE HELP! 20 POINTS!!

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

X = 8

Step-by-step explanation:

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Greatest common factor of 12, 60, and 68
Katyanochek1 [597]
To calculate the GCF, you need to list all the prime numbers that will go into each number listed

12: 2, 2, 3
60: 2, 2, 3 5
68: 2,2,17

Now you circle the numbers that are the same in each.

GCF: 2, 2

Multiply these numbers to find the GCF: 4
5 0
3 years ago
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
Kendra earns $70 per week mowing lawns. She saves 60% of the money she earns each week. How many weeks will it take Kendra to sa
katrin [286]

Answer:

5 weeks

Step-by-step explanation:

Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.

To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60

Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:

(70)(.6) = 42

Therefore, Kendra saves $42 each week.

To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42. Like this:

(210)/(42) = 5

All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

<em />

4 0
2 years ago
Read 2 more answers
3. Retaj is cutting a roll of string into pieces that are each 2/3 m long . If the yarn is 6 m long, how many pieces of yarn did
Airida [17]
9 pieces of yarn

You have to divide them.
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BE%7D%7B%20%5Csqrt%7BR%20%7B%7D%5E%7B2%7D%20%2B%20W%20%7B%7D%5E%7B2%7D%20L%
AleksandrR [38]

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

     I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!

7 0
3 years ago
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