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Slav-nsk [51]
3 years ago
11

10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each

of the numbers.
Mathematics
1 answer:
Lynna [10]3 years ago
3 0

The sum of two numbers is 13 more than twice the first number:

x + y = 2x +13

x - y = y - 14

solve the system of equations:

x - (x + 13) = (x +13) - 14

x = -12

y = 1

   

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The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard
laiz [17]

Answer:

option B.

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Step-by-step explanation:

Since we are dealing with a normal distribution

68.27% of the values will fall in the range with the standard deviation

(180-30 , 180+30) = (150, 210)

Approximately 15.86% of the values will be higher than 210

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So the correct answer is option B.

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4 0
3 years ago
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
netineya [11]

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

  f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

8 0
3 years ago
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