The average (mean) of 90 numbers is 60, and the average of 60 numbers is 90. What is the average of all the numbers?

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer: 72

Step-by-step explanation:

Total score of 90 nos. 90 x 60 = 5400

Total score of 60 nos. 60 x 90 = 5400

Total score of 150 nos

= 10800 / 150 = 72

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the axis of symmetry of a quadratic equation is x = –3. if one of the zeroes of the equation is 4, what is the other zero?

FinnZ [79.3K]

ANSWER

The other zero is

$x = - 10$

EXPLANATION

The axis of symmetry serves as the midpoint of the two zeroes.

We were given that the axis of symmetry of the quadratic equation is
$x = - 3$

We were also given that, one of the zeroes of the quadratic equation is
$x = 4$

Let the other zero of the quadratic equation be
$x = p$

,then, we apply the midpoint formula to find the value of
$p$

Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,

$\frac{x_1 + x_2}{2} = axis \: of \: symmetry$

We substitute to obtain,

$\frac{p + 4}{2} = - 3$

We multiply through by 2 to get,

$p + 4 = - 6$

This implies that,

$p = - 6 - 4$

$p = - 10$

3 0

2 years ago

Read 2 more answers

A triangle has two sides of length 2 and 18. What is the largest possible whole-number length for the third side?

Snezhnost [94]

Answer:

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

18 - 2 < x < 18 + 2

16 < x < 20

Then the largest possible length of the third side is 19