Which answer correctly describes the change in the standard deviation for the data set {3,4,6,7,8,20} when the outlier is not included in the calculation? The standard deviation is still 5.63, which means a graph of the values doesn't change without the outlier.

The standard deviation increases from 1.85 to 5.63, which means a graph of the values is more spread out without the outlier.

The standard deviation decreases from 8 to 5.6, which means a graph of the values is less spread out without the outlier.

The standard deviation decreases from 5.63 to 1.85, which means a graph of the values is less spread out without the outlier.

step-by-step explanation:

soo this can be solve by using the formula:

f = p( 1 + i)^ n

where f is the future profit

p is the initial profit

i is the percent increase

n is the number of years

a . f = 30000 ( 1.05)^n

b. f = 30000 ( 1.05)^15

f = $62,368

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.