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timofeeve [1]
2 years ago
11

Mr and mrs Jones buy cinema tickets for themselves and their three children. the cost of an adult ticket is £6 more than a child

ticket. the cost of the five tickets is £45
work out the cost of an adult ticket
Mathematics
1 answer:
ElenaW [278]2 years ago
7 0

Answer:

£12.60

Step-by-step explanation:

let the cost of a child ticket be x then the cost of an adult ticket is x + 6

Sum the costs and equate to 45

x + 6 + x + 6 + 3x = 45 , that is

5x + 12 = 45 ( subtract 12 from both sides )

5x = 33 ( divide both sides by 5 )

x = 6.6

Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60

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Answer:

The standard deviation of car age is 2.17 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5

(a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age?

This means that 1 is 3 standard deviations below the mean and 14 is 3 standard deviations above the mean.

So

14 = 7.5 + 3\sigma

I want to find \sigma

3\sigma = 6.5

\sigma = \frac{6.5}{3}

\sigma = 2.17

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8 0
2 years ago
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With reference to the figure match the angles and arcs to their measures
photoshop1234 [79]
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Angle OCA = Angle OBA = 90 degrees                     [angle at the point where the tangent and the radius meet]

Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees      [sum of interior angles of a quadrilateral]


Angle CDE = (180 - 124) degrees = 56 degrees        [angle on a straight line]

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Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees     [sum of interior angles of a quadrilateral]

Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees                                                      [angle at a point]

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2 years ago
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Anna007 [38]
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
               
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      A  -------------------------  B
         |                              |
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Step-by-step explanation:

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