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Citrus2011 [14]
3 years ago
10

If the monthly electrical utility bills of all customers for the Far East Power and Light Company are known to be distributed as

a normal distribution with mean equal to $87.00 a month and standard deviation of $36.00, which of the following would be the largest individual customer bill that you might expect to find?A) About $195.00B) Approximately $811.00C) Nearly $123.00D) There is no way to determine this without more information
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0

Answer:

A) About $195.00

Step-by-step explanation:

In a normal distribution, the interval (mean - 3*standard deviation, mean + 3*standard deviation) account for about 99.7% of the values. In this case mean + 3*standard deviation = $87.00 + 3*$36.00 = $195.00. So, it 's expected that this amount of money would be the largest individual customer bill.

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3 years ago
What is a number between 364 and 384 that is a multiple of both 3 and 7
masya89 [10]

Answer:

378

Step-by-step explanation:

It will also be a multiple of 21 .

As it is divisible by 3  the first possibility is 366 so:-

364 + n = 21m

where n = 2,5,8,11,14...

Trying each number in turn we get:-

364 + 14 = 21m

21m = 378

m =  18

so the answer is 378



7 0
4 years ago
In the figure, use similar triangles and the fact that corresponding sides are proportional to find the missing length.​
Phoenix [80]

Answer:

  • <u><em>The missing length, x, is equal to 7 m.</em></u>

Explanation:

In the figure, the two triangles are similar because they show two pairs of congruent angles and one pair of different sides.

  • The two upper vertices are marked each with a line which indicates that they are congruent, i.e. they have the same measure.

  • Also, the small squares shown in each of the bases indicate that those two angles are right, i.e. they measure 90°.

  • Since the two sides adjacent to the right angles have different lengths, the triangles are not congruent but similar.

By similarity, you can state that the corresponding parts keep the same ratio. Thus:

  • x / 8m = 21m / 24m

  • x = 8m × 21 m / 24 m (muliply both sides by 8m)

  • x = 21 m / 3 (simplify dividing numerator and denominator by 8m)

  • x = 7 m (simplify dividing by 3)

         Answer x = 7 m

5 0
4 years ago
Matt invested $1500 into a stock of his choice. After two years, he had received
EleoNora [17]

For this question, the time given confuses me.  I know the rate of return is just total return divided by divided by investment, Assuming that Matt received the $400 in dividends as cash payouts, and they weren't reinvested into buying shares of the stock, then his total return over two years was $500, Now, if Matt's dividends were reinvested into the stock - and if you have a 401(k) or IRA, that's what usually happens - then his ROI would have been only 6% because he only made a profit of $100 on an investment of $1500. Note:  In the real world, in current market conditions, Matt probably would have got about a 5% return on a good stock, and Bella would have received about 0.05% on a savings account.

hope this helped you ;)

3 0
3 years ago
Write an equation parallel to y=3x+6 that passes through the point (4, 7)
HACTEHA [7]

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line parallel to y=3x+6 has exactly the same form but a different constant on the right:  y=3x+C

To find C, take the coordinates of the given point and substitute them into y=3x+C:

7 = 3(4) + C, or

7 = 12 + C, and so C = -5

The desired equation is y = 3x - 5

5 0
3 years ago
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