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alexgriva [62]
2 years ago
6

You’re given 3 timings, all in the format of mm:ss (29:12 for example would mean 29 minutes and 12 seconds). They are labelled a

s x, y and z.
When they’re all rounded to the nearest whole number, x, y and z are 29, 29 and 13 respectively, all in minutes.

Thus, when x, y and z are added together, what are the chances that the result is 72 minutes, when rounded to the nearest whole number.
Mathematics
1 answer:
katrin2010 [14]2 years ago
5 0
29 + 29 + 13 = 71
The range of possible times in seconds for x is 28:30 - 29:29. Similarly for y.
The range of possible times for z is 12:30 - 13:29
The range of possible values for x + y + z = 69:30 - 72:27 which is 178 seconds long
To be recorded as 72 minutes the sum would be in the range 71:30 - 72:27 which is 58 seconds long
P(result recorded as 72 min) = 58/178

If you simply used the ranges [28.5, 29.5) [28.5, 29.5) and [12.5, 13.5)
then the sum would be in the range [69.5, 72.5)
and P(result recorded as 72 min) = 60 seconds / 180 seconds = 1/3

Using discrete times in seconds gives a slightly different answer but is also much harder to understand.
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Three consecutive even integers whose sum is -48
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Answer:

d = 17.5499287748 inches or 17.5 inches to 1 decimal place

Step-by-step explanation:

find the diagonal line passing through the middle of the bottom rectangle:

a² + b² = c²

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100 + 64 = 164

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c = √164

c = 12.8062484729

find d:

a² + b² = c²

12² + 12.80624847298² = c²

144+ 164 = 308

c² = 308

c = √308

c = 17.5499287748

therefore d = 17.5499287748 inches or 17.5 inches to 1 decimal place

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T he equation for a parabola with directrix y = –p and focus (0, p) is:
zhuklara [117]

The equation for a parabola with directrix y = –p and focus (0, p)

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Construct 3 linear equation starting with qiven solution z = 1/3
Andreyy89

Answer:

(a)9z+2=5

(b)21z-11=-4

(c)4z=2-2z

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

<u>Equation 1</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 9

9z=\frac{1}{3}\times 9\\9z=3

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: 9z+2=5

<u>Equation 2</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 21

21z=\frac{1}{3}\times 21\\21z=7

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: 21z-11=-4

<u>Equation 3</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 6

6z=\frac{1}{3}\times 6\\6z=2

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: 4z=2-2z

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