<span>21.72%
The 68-95-99 rule states that 1 standard deviation from the mean will contain 68% (68.27 more specifically) of all data points. For each sample, we multiply the success rate for </span>.6827*.6827*.6827*.6827 =.2172 or 21.72%

8 0

3 years ago

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots

olga2289 [7]

Answer:

f(x) = $3x^{3} - 6x^{2} - 15x + 30$

Step-by-step explanation:

If $\sqrt{5}$ is a root, then so is - $\sqrt{5}$

f(x) = 3(x + $\sqrt{5}$ )(x - $\sqrt{5}$ )(x - 2)

= $3(x^{2} - 5)(x - 2)$

= 3( $x^{3} - 2x^{2} - 5x + 10$ )

= $3x^{3} - 6x^{2} - 15x + 30$

4 0

2 years ago

What is the volume of this cone in cubic inches

Solnce55 [7]

Answer:

84.78 inches cubed - hope this helped :)

Step-by-step explanation:

formula - πr^2 $\frac{h}{3}$

3 x 3 x 3.14 = 28.26

28.26 x 9/3

28.26 x 3

answer = 84.78

4 0

2 years ago

Read 2 more answers

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Vesna [10]

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = $\frac{1}{2}$

Then, A(8, 4) → A'(4, 2)

B(-2, 2) → B'(-1, 1)

C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

3 0

2 years ago