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blondinia [14]
3 years ago
10

stilt scored 5 points less than twice the number scored by dunk. together they scored 43 points. how many points were scored by

each person?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0
Set up a system of equations:

s = 2d - 5
s + d = 43

Where 's' represents the number of points Stilt scored and 'd' represents the number of points Dunk scored.

Plug in 2d - 5 for 's' in the 2nd equation:

s + d = 43

2d - 5 + d = 43

Combine like terms:

3d - 5 = 43

Add 5 to both sides:

3d = 48

Divide 3 to both sides:

d = 16

Plug this back into any of the two equations to find 's':

s + d = 43

s + 16 = 43

Subtract 16 to both sides:

s = 27

So Dunk scored 16 points and Stilt scored 27 points.
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If the distribution is really N ( 5.43 , 0.54 ) , N(5.43,0.54), what proportion of observations would be less than 5.05 ? 5.05?
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Answer:

P(X

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:

X \sim N(5.43,0.54)  

Where \mu=5.43 and \sigma=0.54

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

P(X

And we can find this probability on this way:

P(Z

And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"

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3 years ago
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Answer:

Step-by-step explanation:

8) (5x + 23) + (17x - 41) = 180

                             22x = 198

                                  x = 9

      arc JK    5(9) + 23 = 68°

     arc MJ    17(9) - 41 = 112°

     arc LMK  360 - 112 = 248

9) 8x + (21x - 12) + (10x + 9) + 90 = 360

                                             39x = 273

                                                  x = 7

                    arc WX    21(7) - 12 = 135°

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Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the
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Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high. 

Calculations 

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Cross multiplication

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Divide by 5 to isolate x

\frac{5x}{5} = \frac{51}{5} 

x = 10.2 

Answer = 10.2 
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