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eduard
3 years ago
5

Please help ASAP!!!!! Thanks

Mathematics
1 answer:
Mice21 [21]3 years ago
3 0

Answer:  one Apple costs £ 0.20, and one banana costs £ 0.60

Step-by-step explanation:

let x = the amount of apples

let y = the amount of bananas

4x + y = 1.40

7x + y = 2

this is à system of equations

simplify the top equation to   y = 1.4 - 4x

now plug that into the second equation and solve

7x + 1.4 - 4x = 2

3x + 1.4 = 2

3x = 0.6

x = 0.2

that means that one Apple costs £ 0.20

plug that back into the top equation

4x + y = 1.4

4(0.2) + y = 1.4

0.8 + y = 1.4

y = 0.6

so one banana costs £ 0.60

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b) 1.235

Step-by-step explanation:

a)

The average hardness value xbar can be computed as

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46.5  -1.90833 3.64174

46.9  -1.50833 2.27507

49.4    0.99167 0.98340

50.3     1.89167 3.57840

49.8     1.39167 1.93674

48.8    0.39167 0.15340

47.0           -1.40833 1.98340

47.7   -0.70833 0.50174

48.3           -0.10833 0.01174

49.4    0.99167  0.98340

47.8           -0.60833 0.37007

49.0    0.59167 0.35007

Total                               16.7692

s=\sqrt{\frac{16.7692}{12-1} }

s=\sqrt{\frac{16.7692}{11} }

s=\sqrt{1.5245}

s=1.2347

s=1.235 (rounded to 3 decimal places)

The standard deviation hardness value is 1.235.

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