A researcher selects a random sample of 200 students to determine whether there is a relationship between the number of days a student is absent and the student's grade point average. The
correlation coefficient, r, of the data is -0.765. On the basis of the correlation coefficient alone, can the
researcher conclude that an increase in the number of days a student is absent causes the student's
grades to drop?
No, because other factors may have influenced the student grades.
Yes, because ris very close to -1.
No, because ris negative.
Yes, because the students in the sample were randomly selected.
no

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

n

step-by-step explanation:

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:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative