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Fofino [41]
2 years ago
9

The product of two consecutive natural numbers is greater than their sum by 109. Find these numbers

Mathematics
1 answer:
Charra [1.4K]2 years ago
8 0

Answer:

The numbers will be "11 and 12".

i believe

Step-by-step explanation:

x(x + 1) > x + x + 1 + 109     where x and x+1 are the 2 numbers.

x^2 + x > 2x + 110

x^2  - x - 110 > 0

(x - 11)(x + 10) > 0    The critical values are 11 and -10 but number must be natural

So the value of x is 11

The numbers are 11 and 12

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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
Numero mixto de 16 -- 5
stealth61 [152]

Answer:

La respuesta correcta es 3 1/5

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

3 0
3 years ago
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
Brrunno [24]

Answer:

1/3 and 1.5

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

There are 5 Multiples of 3 on the Spinner and 3 multiples of four.

5/15 is the probability for a multiple of 3 which can be simplified to 1/3

3/15 is the probability for a multiple of 4 which can be simplified to 1/5

Hope this Helps!

5 0
3 years ago
Which equation does this story match: The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. Wha
olya-2409 [2.1K]
5x-7=3 :))))))))))))))))))))))
4 0
3 years ago
No clue how to do this someone please help
Free_Kalibri [48]

Answer:

I recommend trying this it is real tutors that explain to you on how to do it it's free

7 0
3 years ago
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