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hjlf
3 years ago
10

A car park charges a certain rate per hour before 3 pm, and a higher rate per hour

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Who's JD?   I'll guess that's money in some country.

This one requires a bit of analysis before writing the equation.  3pm is the time the price changes so

11am to 5 is 4 hours before, 2 hours after, JD18

9am to 7 is 6 hours before, 4 hours after, JD31

OK, let's call the morning rate x and the evening rate y.  

a.

Rate times hours is cost; we have to add up the morning and evening:

4x + 2y = 18

6x + 4y = 31

b.

We multiply the first equation by 2,

8x + 4y = 36

Subtract the second equation,

2x = 36 - 31 = 5

x = 5/2

2y = 18 - 4x

y = 9 - 2x = 9 - 5 = 4

Answer: Our solution is the price was JD 2.50 before 3pm and JD 4 after.

Check:  

2.5(4) + 4(2) = 18 good

2.5(6) + 4(3) = 31 good

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A regular six-sided die is rolled 1000 times. Use the binomial distribution to determine the standard deviation for the number o
ANTONII [103]

The standard deviation for the number of times an odd number is rolled is 15.8

<h3>How to determine the standard deviation?</h3>

The given parameters are:

Die = regular six-sided die

n = 1000

The probability of rolling an odd number is:

p = 1/2 = 0.5

The standard deviation is then calculated as;

\sigma = \sqrt{np(1 - p)

This gives

\sigma = \sqrt{1000 * 0.5 * (1 - 0.5)

Evaluate the products

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2 years ago
10(2.1q -2) + (7.5q+18)
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Step-by-step explanation:

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3 years ago
The table shows the outputs, y, for different inputs, x: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this
cluponka [151]

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x)    Output (y)

6                14

12               15

15               15

25              16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

5 0
3 years ago
2.5kg of apples cost £3.60 work out the cost of 3.5kg of apples
professor190 [17]

Answer:

£5.04

Step-by-step explanation:

Let's first find the unit cost.

£3.60/2.5kg = £1.44/kg

To find out how much money 3.5kg of apples costs, we simply need to multiply the unit price by 3.5.

£1.44/kg * 3.5kg = £5.04.

3 0
2 years ago
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