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lyudmila [28]
3 years ago
15

7 Electricity prices increased by 66%

Mathematics
1 answer:
klemol [59]3 years ago
7 0

Answer:

$23.7

Step-by-step explanation:

Electricity prices increased by 66% in 2009.

Mr and Mrs Smith’s bill was $69.72 after the increase .

The bill before the increase will be 66% / 100% x $69.72

= 0.66 x 69.72

= $46.02

Bill before the increase will be $69.72 - $46.02

=$23.7

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Solve. 5x - 5 = 50 A) x = 8 B) x = 9 C) x = 10 D) x = 11
Angelina_Jolie [31]
The answer would be D) x = 11.

Add 5 to both sides (5x = 50 + 5)

Simplify 50 + 5 to 55 (5x = 55)

Divide both sides by 5 (x = 55/5)

Simplify 55/5 to 11 (x = 11)
4 0
3 years ago
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Find Z.............​
Arada [10]

Answer:

x = 40 degrees

Step-by-step explanation:

We are given that AB and CD are parallel to each other and they are cut by a transversal.

The angle 40 is complementary to angle z, so this means that they have the same measure by the complementary angles theorem.

Complementary are angles that occupy the same space on one parallel line compared to the other parallel line.

Angle z = 40 degrees

5 0
3 years ago
Alice is baking a cake. She doesn’t intend to eat it, but tells you half of what you find is yours. She tells the same thing to
tankabanditka [31]

Answer: a) P = 0.5, b) P = 0.07

Step-by-step explanation:

Hi!

Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.

a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.

It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.

b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

P(B) = 0.5 - \frac{(0.5*55^2)}{3600} =0.07

7 0
3 years ago
For a normal distribution,
Anni [7]

Answer:

1.282, -0.5244,...

Step-by-step explanation:

We know that Z is a standard normal variate with mean =0, and std dev =1

a) z-score separates the highest 10% from the rest of the scores

= 90th percentile = 1.282

b) z-score separates the lowest 30% from the rest of the scores

= 30th percentile = -0.5244

c) z-score separates the lowest 40% from the rest of the scores

= 40th percentile = -0.2533

d) z-score separates the lowest 20% from the rest of the score

=20th percentile = -0.8416

7 0
2 years ago
PLS HELP ME QUICK BRAINLIEST +15 POINTS!!!!!
Ipatiy [6.2K]

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}

Simplify:

\bar x=\frac{9}{12}

Reduce:

\bar x=3/4

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

7 0
3 years ago
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