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4 years ago

Need help on this asap

Mathematics

1 answer:

Art [367]4 years ago

3 0

Answer:

mean height = 30.5

Step-by-step explanation:

To find an estimate for the mean height, we need to use a pondered weight of the height of the plants.

The midpoints of each interval of height are:

0 to 10 -> 5

10 to 20 -> 15

20 to 30 -> 25

30 to 40 -> 35

40 to 50 -> 45

50 to 60 -> 55

Using the frequencies as the weights, we have:

mean height = (1*5 + 4*15 + 7*25 + 2*35 + 3*45 + 3*55) / (1+4+7+2+3+3)

mean height = 30.5

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The length of the sides of a square measure 2x-5. The length of a rectangle measures 2x, and the width measures x + 2. For what

vladimir1956 [14]

Answer:

$x = 12$

Step-by-step explanation:

Perimeter of a square:

The perimeter of a square of side x is given by:

$P_s = 4x$

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

$P_r = 2(l + w)$

The length of the sides of a square measure 2x-5.

This means that the perimeter of the square is:

$P_s = 4(2x - 5) = 8x - 20$

The length of a rectangle measures 2x, and the width measures x + 2.

This means that the perimeter of the rectangle is:

$P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4$

For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

This is x for which:

$P_s = P_r$

$8x - 20 = 6x + 4$

$8x - 6x = 20 + 4$

$2x = 24$

$x = \frac{24}{2}$

$x = 12$

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meriva

Answer:

Step-by-step explanation:

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