Owen surveyed his class on their favorite subject. the results are shown in the table. what is the relative frequency of someone who prefers math? a) 0.113 b) 0.189 c) 0.302 d) 0.547

0.302

Step-by-step explanation:

Total so. of students involved in survey = 4+5+7+3+10+6+8+10 = 53

No. of males prefer math = 10

No. of females prefer math = 6

So, Total no. of students prefer math = 10+6=16

So,  the relative frequency of someone who prefers math:

=

=

=

Hence the relative frequency of someone who prefers math is 0.302

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9