Hans has two route options to drive to work. When he travels Hampton Road, the distribution of times is approximately Normal with a mean of 23.9 minutes and a standard deviation of 3.1 minutes. When Hans travels Route 8, the distribution of times is approximately Normal with a mean of 20.8 minutes and a standard deviation of 5.4 minutes. Hans randomly selects 11 times he drove Hampton Road and 11 different times that he drove Route 8. What is the probability the mean time of the Hampton Road trips will be less than the mean of the Route 8 trips

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl