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Mariulka [41]
3 years ago
8

Find the value of the variable and YZ if Y is between X and Z

Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0
If point Y is between points X and Z, then

XY + YZ = XZ

In words, the distance from X to Y, plus the distance from Y to Z, is equal to the distance from X to Z. (See the attached picture.)

So 6b + 8b = 175

Can you finish it?


rewona [7]3 years ago
4 0

Answer:

The value of b is 12.5. The length of YZ is 100 units.

Step-by-step explanation:

Given information: XY=6b, YZ=8b, XZ=175 and Y is between X and Z.

It means X,Y, Z are collinear points and  point Y divides the line segment XZ is two ports.

Using segment addition property, we get

XY+YZ=XZ

Substitute XY=6b, YZ=8b, XZ=175 in the above equation.

6b+8b=175

14b=175

Divide both sides by 14.

b=\frac{175}{14}

b=12.5

The value of b is 12.5.

The length of YZ is

YZ=8b=8\times 12.5=100

Therefore the length of YZ is 100 units.

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
3 years ago
On a number line suppose point E has a coordinate of -2 and EG =10 what are the possible coordinates of point G ?
galina1969 [7]

| E - G | = EG

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     G = -12                       G = 8

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Hey there! :)

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