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Scrat [10]
3 years ago
7

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.How much rainfall on the seventh d

ay ​
Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

There was 32.5mm of rainfall on the seventh day.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.

The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.

This means that during the week(7 days), the total amount of rain was of:

6*1 + x = 6 + x

How much rainfall on the seventh day ​?

This is x. We have that:

\frac{6 + x}{7} = 5.5

6 + x = 7*5.5

6 + x = 38.5

x = 38.5 - 6 = 32.5

There was 32.5mm of rainfall on the seventh day.

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Answer:

vertex = (- 2, - 36)

Step-by-step explanation:

Given a parabola in standard form : y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = 5x² + 20x - 16 is in standard form

with a = 5, b = 20 and c = - 16

x_{vertex} = - \frac{20}{10} = - 2

Substitute x = - 2 into f(x) for corresponding y- coordinate

f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36

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