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ICE Princess25 [194]
3 years ago
8

For an essay contest, Annika needs to write 400 words with an absolute deviation of less than 10 words. Using w as a variable, w

rite an absolute value inequality to represent this situation.
Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:

The absolute value inequality to represent the situation is presented as follows;

\left | w -400  \right |

Step-by-step explanation:

The given information are;

The number of words Annika needs to write = 400 words

The absolute deviation of the number of words Annika needs to write = 10 words

When we let the number of words Annika write = w, we have;

The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;

\left | w -400  \right |

Therefore we have;

\left | w -400  \right |  gives the statement, -10 < w - 400 < 10.

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Sum of three numbers in an as is 33 and the sum of thier cubes is 5049.find the numbers
Alex73 [517]

Sum of three numbers is 33 and  sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.

As given,

Let a-d, a, a +d be three numbers

Sum =33

⇒a-d + a +a +d =33

⇒ a =11

Sum of cubes= 5049

⇒ (a-d)³ + a +(a +d)³ =5049

⇒ a³ -d³ -3a²d +3ad² + a³ +a³ +d³ +3a²d +3ad² =5049

⇒3a³ + 6ad² = 5049

⇒ d=± 4

Therefore, sum of three numbers is 33 and  sum of their cubes is 5049 then three numbers are 7,11,15 or 15,11,7.

Learn more about numbers here

brainly.com/question/17429689

#SPJ4

6 0
1 year ago
​Thirty-six percent of customers who purchased products from an​ e-commerce site had orders exceeding 110. If ​17% of customers
Dvinal [7]

Answer:

The right solution is "0.5".

Step-by-step explanation:

According to the question,

P(pay with the sponsored credit card | order exceeds $110)

= \frac{P(Pay \ with \ the \ sponsored \ credit\ card\ and\ order\ exceeds\ 110)}{P(order \ exceeds \ 110)}

= \frac{P(A \ and \ B)}{P(A)}

By putting the values, we get

= \frac{0.17}{0.34}

= 0.5

Thus, the above is the right solution.

3 0
2 years ago
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