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riadik2000 [5.3K]
3 years ago
14

What is the value of x? Enter your answer in the box. cm

Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

 =94 cm

Step-by-step explanation:

Using the Triangle angle bisector theorem

We can find the value for YK

TV         VY

------- = -----------

TK         YK


95.2         34

------- = -----------

168         YK

Using cross products

95.2 * YK = 34* 168

Divide each side by 95.2

YK = 34* 168/95.2

YK =60

We want to find VK

VK = VY+YK

     = 34+60

     =94 cm

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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce
Alla [95]

Answer:

The percentage is P(350 <  X  650 ) = 86.6\%

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  =  500

     The standard deviation is  \sigma  =  100

The  percent of people who write this exam obtain scores between 350 and 650    

    P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

Generally  

               \frac{X -  \mu }{\sigma }  =  Z (The \  standardized \  value \ of  \  X )

   P(350 <  X  650 ) =  P(\frac{ 350 -  500}{ 100}

   P(350 <  X  650 ) =  P(-1.5

   P(350 <  X  650 ) =  P(Z < 1.5) -  P(Z <  -1.5)

From the z-table  P(Z <  -1.5 )  =  0.066807

   and P(Z < 1.5  ) =  0.93319

=>    P(350 <  X  650 ) =  0.93319 -  0.066807

=>  P(350 <  X  650 ) = 0.866

Therefore the percentage is  P(350 <  X  650 ) = 86.6\%

3 0
3 years ago
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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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Five hundred dollars more than 10% of am amount of money $m is $1280. Find m.
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For this one, we need to make an equation to make it look easier
(0.10 × m) + 500 = 1280
We solve for m
Subtract 500 from both sides and we get
0.10 × m = 780
Now, divide both sides by 0.10
And m would be equal to 7800
Let's see if this is correct.
Five hundred dollars more than 10% of m
We found that 10% of m is 780, now we add 500 to make the statement true. It will give us a total of 1280, which is equal of what the question says.
I hope this helps.
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Step-by-step explanation:

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