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irinina [24]
3 years ago
5

the entrance of a cave is at an elevation of 14 meters. the lowest part of the cave is at an elevation of _86 meters. write an i

nteger to represent the elevation of the entrance to the cave
Mathematics
1 answer:
Advocard [28]3 years ago
4 0
14+-86=-72. That is the change in level if you needed it.
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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
2 x<br>— = -----<br>7 x + 10<br><br>x = ???​
valentina_108 [34]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Maybe you want to find x such that ...

  2/7 = x/(x +10)

  2(x +10) = 7x . . . . . . multiply by 7(x+10)

  20 = 5x . . . . . . . . . . subtract 2x, simplify

  4 = x . . . . . . . . . . . . divide by 5

_____

<em>Additional comment</em>

You can almost solve this "by inspection" if you recognize the difference of the denominator and numerator is 5 on the left and 10 on the right. If you multiply the fraction on the left by 2/2, you get 4/14, the values in x/(x+10) in the fraction on the right.

6 0
3 years ago
Five gerbils cost p dollars. How many dollars will it cost to buy 1 gerbil? How many dollars will it cost to buy g gerbils? How
Fudgin [204]
5 gerbils = p dollars
1 gerbil = p/5 dollars
g gerbils = pg / 5 dollars

5/p gerbils = 1 dollar
5d/p gerbils = d dollars
4 0
3 years ago
The soccer team bought new uniforms for $ 649.62. if there are 12 kids on the team, how much did each uniform cost? ( round answ
lianna [129]

Answer:

$54.14 per soccer uniform

Step-by-step explanation:

649.62/12

= 54.135

Round to the nearest penny - $54.14

4 0
3 years ago
Read 2 more answers
8<br> Simplify the expression:<br> 41 +91 + 61 =<br> 1
antiseptic1488 [7]

Answer:

194

Step-by-step explanation:

3 0
3 years ago
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