Question 15 (5 points)
Find the angle between u = <7, -2> and v= (-1,2>.

Approximately radians, which is approximately .

Step-by-step explanation:

Dot product between the two vectors:

.

Magnitude of the two vectors:

.

.

Let denote the angle between these two vectors. By the property of dot products:

.

Apply the inverse cosine function to find the value of this angle:

.

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: