2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

8 0

3 years ago

The triangles above are similar write a similarity statement if possible solve for x the images are not drawn to scale

e-lub [12.9K]

Answer:

The value of x is 8.

Step-by-step explanation:

In triangle PQR and XZY,

$\angle P=\angle X=90^{\circ}$

$\angle Q=\angle Z$

$\angle R=\angle Y$

By AA property of similarity, we can say that

$\triangle PQR\sim \triangle XZY$

The similarity statement is $\triangle PQR\sim \triangle XZY$ .

The corresponding sides of similar triangles are proportional. Since both triangles are similar, so

$\frac{PQ}{QR}=\frac{XZ}{ZY}$

$\frac{21}{28}=\frac{5x+2}{7x}$

$\frac{3}{4}=\frac{5x+2}{7x}$

$7x\times 3=(5x+2)\times 4$

$21x=20x+8$

$21x-20x=8$

$x=8$

Therefore the value of x is 8.

4 0

4 years ago