Find the distance between the points (1, 2) and (4,3).

ANSWER: Exact Form:

Decimal Form:  3.16227766

STEP-BY-STEP EXPLANATION:

(1, 2) and (4,3)

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }

Substitute the actual values of the points into the distance formula.

\sqrt{(4-1)^{2  }+ (3-2)^{2} }

The result can be shown in multiple forms.

Exact Form:

Decimal Form:  3.16227766

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

answer is (b.

164 ft2)

a base  

18

b base  

7

h height  

8